Harish-Chandra Collected Papers I-V

Harish-Chandra Collected Papers I (1944-1954)
	New York, 1951
	Bibliography of Harish-Chandra
	Abbreviations Used in the Bibliography
	Preface
	Biographical Note
	Introduction (V. S. Varadarajan)
		References
	Some Additional Aspects of Harish-Chandra's Work on Real Reductive Groups (Nolan R. Wallach)
	The Work of Harish-Chandra on Reductive p-adic Groups (Roger Howe)
		References
	Permissions
	[1944a] On the theory of point-particles (with Bhabha, H. J.)
	[1944b] On the removal of the infinite self-energies of point-particles
	[1945a] On the scattering of scalar mesons
	[1945b] Algebra of the Dirac-matrices
	[1946a] On the fields and equations of motion of point particles (with Bhabha, H. J.)
	[1946b] On the equations of motion of point particles
	[1946c] A note on the \sigma-symbols
	[1946d] The correspondence between the particle and the wave aspects of the meson and the photon
	[1947a] On the algebra of the meson matrices
	[1947b] On relativistic wave equations
	[1947c] Equations for particles of higher spin
	[1947d] Infinite irreducible representations of the Lorentz group
	[1948a] Relativistic equations for elementary particles
	[1948b] Motion of an electron in the field of a magnetic pole
	[1949a] Faithful representations of Lie algebras
	[1949b] On representations of Lie algebras
	[1950a] On the radical of a Lie algebra
	[1950b] On faithful representations of Lie groups
	[1950c] Lie algebras and the Tannaka duality theorem
	[1951a] On some applications of the universal enveloping algebra of a semisimple Lie algebra
		Introduction
		Part I. Representations of semisimple Lie algebras
		Part II. Infinite-dimensional representations of complex semisimple Lie algebras
		Part III. Characters
		Part IV. Representations of a complex semisimple Lie group in a Hilbert space
	[1951b] Representations of semisimple Lie groups on a Banach space
	[1951c] Representations of semisimple Lie groups. II
	[1951d] Representations of semisimple Lie groups. III
	[1951e] Representations of semisimple Lie groups. IV
	[1951f] Plancherel formula for complex semisimple Lie groups
	[1952] Plancherel formula for the 2 X 2 real unimodular group
	[1953] Representations of a semisimple Lie group on a Banach space. I
	[1954a] Representations of semisimple Lie groups. II
	[1954b] Representations of semisimple Lie groups. III
	[1954c] The Plancherel formula for complex semisimple Lie groups
	[1954d] On the Plancherel formula for the right K-invariant functions on a
semisimple Lie group
	[1954e] Representations of semisimple Lie groups. V
	[1954f] Representations of semisimple Lie groups. VI
Harish-Chandra Collected Papers II (1955-1958)
	Paris, 1958
	[1955a] Integrable and square-integrable representations of a semisimple Lie group
	[1955b] On the characters of a semisimple Lie group
	[1955c] Representations of semisimple Lie groups IV
		1. Introduction
		2. Preliminary lemmas
		3. Representations with an extreme vector
		4. Another characterization of totally positive roots
		5. Some further results on totally positive roots
		6. The converse of Theorem 1
		7. Infinitesimally unitary representations
		8. Representations of the group
		9. An auxiliary result
	[1956a] Representations of semisimple Lie groups, V
		1. Introduction
		2. Certain complex manifolds
		3. The simply connected covering manifold of N_c^- A_+ G_0
		4. Holomorphic functions on W
		5. Representations on a Hilbert space of holomorphic functions
		6. Computation of the function \psi
		7. Some results on finite-dimensional representations
		8. Proof of the existence of representations
		9. Unitary representations
		10. A result on characters
		References
	[1956b] Representations of semisimple Lie groups VI. Integrable and square-integrable representations
		1. Introduction
		Part I
			2. Preliminary lemmas
			3. The Schur orthogonality relations
			4. The character of a square-integrable representation
			5. The discrete part of the Plancherel measure
		Part II
			6. Some algebraic results
			7. Digression on a theorem of Cartan
			8. Transformation of certain integrals
			9. Application to representations of G
			10. Integrable and square-integrable representations
			11. Similarity with finite-dimensional representations
			12. Proof of Lemma 22
			13. Appendix
	[1956c] The characters of semisimple Lie groups
		1. Introduction
		2. Preliminaries
		3. Quasi-regular elements
		4. Some general facts about differential operators
		5. Differential operators on `M
		6. The relationship between invariants of the Weyl group and certain differential operators
		7. Differential operators on A'
		8. Determination of /beta(z) in terms of the invariants
		9. Eigen-distributions on `M
		10. An important special case
		11. Application to representations
		12. Closer study of a special case
		References
	[1956d] On a lemma of F. Bruhat
	[1956e] Invariant differential operators on a semisimple Lie algebra
	[1956f] A formula for semisimple Lie groups
	[1957a] Representations of semisimple Lie groups
	[1957b] Differential operators on a semisimple Lie algebra
	[1957c] Fourier transforms on a semisimple Lie algebra I
	[1957d] Fourier transforms on a semisimple Lie algebra II
	[1957e] A formula for semisimple Lie groups
	[1957f] Spherical functions on a semisimple Lie group
	[1958a] Spherical functions on a semisimple Lie group, I
		1. Introduction
		2. Preliminary lemmas
		3. Some results of Chevalley and their consequences
		4. The homomorphism \gamma
		5. The mapping \delta^{\prime}
		6. The relation between \gamma and \delta
		7. The operator \delta^{\prime}(\omega)
		8. Some consequences of Lemma 27
		9. An important inequality
		10. The function c
		11. A formula for c
		12. Further study of the function c
		13. The case l = 1
		14. The complex case
		15. Appendix
		References
	[1958b] Spherical functions on a semisimple Lie group II
		1. Introduction
		2. The ring \mathfrak{R}
		3. The mapping \mu_0
		4. The connection between \mu_0 and \gamma
		5. Some consequences of Lemma 12
		6. Some rough estimates
		7. The function \Theta_H
		8. The function \Theta
		9. The functions b and b_0
		10. The relationship between \psi and \theta
		11. Proof of Theorem 1
		12. The space l(G)
		13. The distribution T_\mu
		14. An inequality and its consequences
		15. Determination of the function \beta
		16. Two conjectures
		References
Harish-Chandra Collected Papers III (1959-1968)
	New York, 1961
	[1959a] Automorphic forms on a semisimple Lie group
	[1959b] Some results on differential equations and their applications
	[1960a] Some results on differential equations
		§1. Introduction
		§2. Decent Convergence
		§3. Analytic Continuation of Solutions
		§4. The Main Theorems
		§5. Proof of Lemma 11
		Appendix
		References
	[1960a'] Supplement to "Some results on differential equations"
	[1960b] Differential equations and semisimple Lie groups
		§1. Introduction
		§2. Proof of Lemma 7
		§3. Spherical Functions
		§4. The Mapping \delta^{\prime}
		§5. Application to Spherical Functions
		§6A. Application to Representations of G
		§6B. Proof of Lemma 19
		§7. Computation of \delta^{\prime}(\omega)
		§8. Some Heuristic Considerations
		§9. Some Consequences of Lemma 22^20
		§10. Proof of Lemma 31
		§11. Statement of Lemma 33
		§12. Preparation for the Proof of Lemma 33
		§13. Proof of Lemma 33
		§14. The functions \mathfrak{c}_s
		§15. Appendix
		References
	[1961] Arithmetic subgroups of algebraic groups (with Borel, A.)
	[1962] Arithmetic subgroups of algebraic groups (with Borel, A.)
		Introduction
		1. Reductive real algebraic groups
		2. Algebraic groups
		3. Reductive algebraic groups. Affine homogeneous spaces
		4. Siegel domains
		5. A finiteness lemma
		6. A fundamental set for arithmetic subgroups
		7. The finiteness of the volume for semi-simple groups
		8. Remarks on characters of algebraic groups
		9. The finiteness of the volume
		10. Closed conjugacy classes
		11. Groups of units with compact fundamental sets
		12. Groups over number fields
		13. Appendix: Remarks on algebraic groups
			A. Algebraic tori
			B. Real algebraic reductive groups
		Bibliography
	[1963] Invariant eigendistributions on semisimple Lie groups
	[1964a] Invariant distributions on Lie algebras
	[1964b] Invariant differential operators and distributions on a semisimple Lie algebra
	[1964c] Some results on an invariant integral on a semi-simple Lie algebra
		1. Introduction
		2. Some elementary calculations
		3. The semi-regular elements
		4. Real and imaginary roots
		5. Statement of Theorem 1
		6. Some elementary properties of \psi_f
		7. The Cartan subalgebras \mathfrak{a} and \mathfrak{b}
		8. Proof of Theorem 2
		9. Some elementary facts about \psi_f
		10. Proof of Theorem 1
		11. Statement of Theorem 3
		12. Recapitulation of some work of de Rham
		13. Proof of Theorem 3
		14. Some simple lemmas
		15. Distributions involving \psi_f
		16. Reduction of the proofs of Theorems 4 and 5 to that of Lemma 28
		17. Some questions of local summability
		18. The proof of Lemma 28
		19. Some results on \mathfrak{I}
	[1965a] Invariant eigendistributions on a semisimple Lie algebra
		§1. Introduction
		§2. Behaviour of T on the Regular Set
		§3. Some Properties of Completely Invariant Sets
		§4. The Main Part of the Proof of Theorem 1
		§5. Some Computations on  \mathfrak{l}
		§6. Completion of the Proof of Theorem 1
		§7. Some Consequences of Theorem 1
		§8. Further Properties of F
		§9. The Differential Operator \{nabla}_\mathfrak{g} and the function \nabla_\mathfrak{g} F
		§10. A Digression
		§11. Proof of Theorem 4
		§12. Analytic Differential Operators
		§13. Extension of Some Results to Analytic Differential Operators
		§14. Proof of Theorem 5
		§15. Some Preparation for the Proof of Lemma 29
		§16. Some Inequalities
		§17. Proof of Lemma 39
		§18. Proof of Lemma 43
		§19. Completion of the Proof of Lemma 29
		§20. Proof of Lemma 34
		§21. Proof of Lemma 35
		References
	[1965b] Invariant eigendistributions on a semisimple Lie group
		1. Introduction
		2. The mapping \Gamma_x
		3. Completely invariant sets
		4. Some algebraic results
		5. The mapping \delta_{a,G/\Theta}
		6. The case when a is regular
		7. Application to invariant distributions
		8. Some preparation for Theorem 1
		9. First part or the proof of Theorem 1
		10. Reduction to \mathfrak{g}
		11. Completion of the proof of Theorem 1
		12. Two isomorphisms
		13. A consequence of Theorem 1
		14. The relation between \mathfrak{Z} and \partial(I(\mathfrak{g}_C))
		15. Proof of Theorem 2
		16. Some elementary facts about reductive groups
		17. Complex semisimple groups
		18. Acceptable groups
		19. Behavior of F around singular points
		20. The function \nabla_G F
		21. An elementary result
		22. The invariant integral on G
		23. Statement of Theorem 3
		24. Reduction to \mathfrak{h} in a special case
		25. Proof of a weaker result
		26. Proof of Lemma 45
		27. Proof of Theorem 3 in the general case
		28. The local summability of |D|^{-\frac{1}{2}}
		29. Appendix
		References
	[1965c] Discrete series for semisimple Lie groups I. Construction of invariant eigendistributions
		§1. Introduction
		Part I. Theory on the Lie algebra
			§2. Reduction of Theorem 1 to the semisimple case
			§3. Second reduction
			§4. Third reduction
			§5. New expressions for J and J'
			§6. Proof of Lemma 7
			§7. A consequence of Theorem 1
			§8. Some elementary facts about tempered distributions
			§9. Proof of Lemma 17
			§10. An auxiliary result
			§11. Proof of Lemma 21
			§12. Recapitulation of some elementary facts
			§13. Proof of Lemma 26
			§14. Tempered and invariant eigendistributions
			§15. Proof of Lemma 30
			§16. The distribution T_\lambda
			§17. Application of Theorem 1 to T_\lambda
			§18. Proof of Lemma 41
		Part II. Theory on the group
			§19. Statement of Theorem 3
			§20. Proof of the uniqueness
			§21. Some elementary facts about Cartan subgroups
			§22. Proof of the existence
			§23. Further properties of \Theta
			§24. The distribution \Theta_\lambda
			§25. Statement of Theorem 4
			§26. A simple property of the function \Delta
			§27. Reduction of Theorem 4 to Lemma 66
			§28. Proof of Lemma 66
			§29. Some convergence questions
			§30. Appendix
			References
	[1966a] Two theorems on semi-simple Lie groups
		1. Introduction
		Part I
			2. An elementary lemma
			3. Reduction of Theorem 1 to Lemma 2
			4. Proof of Lemma 2
			5. Statement of Theorem 2
			6. An auxiliary result
			7. Proof of Theorem 2
			8. The functions \Theta_A and \Psi_A
			9. A simple lemma on nilpotent groups
			10. Proof of an earlier result
			11. Convergence of a certain series
			12. Transformation of the above series
			13. Proof of Lemma 27
			14. The distribution T_A
			15. Proof of Theorem 3
		PART II
			16. The function \Theta
			17. Fourier components of a distribution
			18. Reduction of Theorem 4 to a special case
			19. Second reduction
			20. Proof of Lemma 39
			21. Proof of Lemma 42
			22. Proofs of some elementary facts
			23. Application to I_C^\infty(G)
			24. The case rank G/K = 1
			25. Appendix
		References
	[1966b] Discrete series for semisimple Lie groups II. Explicit determination of the characters
		§1. Introduction
		Part I. Analysis in the space C(G)
			§2. Representations on a locally convex space
			§3. Absolute convergence of the Fourier series
			§4. Proof of Lemma 7
			§5. Differentiable vectors and Fourier series in function spaces
			§6. Proof of Lemma 4
			§7. Some elementary facts about \sigma and \Theta
			§8. Proof of Theorem 1
			§9. The space C(G)
			§10. The left- and right-regular representations on C(G)
			§11. Spherical functions
			§12. Application to C_F(G)
			§13. Density of C_c^\infty(G) in C(G)
			§14. An inequality
			§15. The mapping of C(G) into C(\tilde{M})
			§16. Proof of Theorem 4
			§17. Convergence of certain integrals
			§18. The mapping f \to F_f
			§19. A criterion for an invariant eigendistribution to be tempered
			§20. Proof of Theorem 8
			§21. Proof of an earlier conjecture
			§22. Proof of Lemma 40 (first part)
			§23. Proof of Lemma 40 (second part)
			§24. Proof of Theorem 9
			§25. Application to tempered representations
		Part II. Spherical functions and differential equations
			§26. Two key lemmas and their first reduction
			§27. The differential equation for \Phi
			§28. Some estimates for \Phi and \Psi_\zeta
			§29. The function \Theta
			§30. Application of the induction hypothesis to \theta
			§31. Completion of the proofs of Lemmas 42 and 43
		Part III. Applications to harmonic analysis on G
			§32. Lemma 64 and its consequences
			§33. Proof of a conjecture of Selberg
			§34. The behaviour of certain eigenfunctions at infinity
			§35. Eigenfunctions of \mathfrak{Z} in C(G)
			§36. The role of the distributions \theta_\lambda in the harmonic analysis on G
			§37. The discrete series for G
			§38. Proof of Lemma 65
			§39. The existence of the discrete series
			§40. The characters of the discrete series
			§41. Explicit determination of these characters
		Part IV. Some inequalities and their consequences
			§42. Proof of the inequalities
			§43. Applications of the above inequalities
			§44. Proof of Lemma 21
			§45. Appendix
		References
	[1966c] Harmonic analysis on semisimple Lie groups
	[1967] Characters of semi-simple Lie groups
	[1968a] Harmonic analysis on semisimple Lie groups
	[1968b] Automorphic forms on semisimple Lie groups (Introduction)
Harish-Chandra Collected Papers IV (1970-1983)
	Bombay, 1973
	[1970a] Some applications of the Schwartz space of a semisimple Lie group
	[1970b] Eisenstein series over finite fields
	[1970c] Harmonic analysis on semisimple Lie groups
	[1970d] Harmonic analysis on reductive p-adic groups (Introduction)
	[1972] On the theory of the Eisenstein integral
	[1973] Harmonic analysis on reductive p-adic groups
	[1975] Harmonic analysis on real reductive groups I. The theory of the constant term
		1. Introduction
		2. Definition of a Split Component
		3. The Assumptions on G
		4. Decomposition of Parabolic Subgroups
		5. Weyl Groups
		6. Parabolic Pairs
		7. Normalization of Measures
		8. Definition of F_f
		9. The Relation between F^{\mathfrak{a}}_f and F^{\mathfrak{b}}_f
		9A. Some computations on SL(2, R)
		10. Properties of the Function \Theta
		11. Central 3-Finite Distributions
		12. An Inequality for \Theta
		13. Convergence of an Integral
		14. Some Estimates and their Applications
		15. The Space \mathscr{C}(G, V)
		16. The Mapping f \to f^{(P)}
		17. The Function \prime F_f
		18. Cusp Forms
		19. Definition of the Eisenstein Integral
		20. A Characteristic Property of E
		21. The Constant Term
		22. The Differential Equations for \Phi(f)
		23. The Function \Theta(f)
		24. Proof of Theorem 21.2
		25. More about Cusp Forms
		26. An Example
		27. Harmonic Analysis on the Space of Cusp Forms
		28. Finiteness of dim \mathscr{A}(G, \tau, \mathfrak{U})
		29. The Class of Parabolic Subgroups Attached to a Regular Character of \mathfrak{Z}
		30. Some Inequalities
		31. Convergence of an Integral
		32. Some further results on Convergence
		33. Proof of Lemma 29.2
		34. A Limit Formula
		35. Relation between Fourier Transforms
		36. Proof of Lemma 34.1
		References
	[1976a] Harmonic analysis on real reductive groups. II. Wave packets in the Schwartz space
		§1. Introduction
		§2. Recapitulation of Some Algebraic Results
		§3. Further Algebraic Results
		§4. Application to Differential Operators
		§5. The Basic Differential Equations
		§6. Asymptotic Behavior of Eigenfunctions
		§7. The Functions \phi_{P, s}
		§8. Functions of Type II(\lambda)
		§9. Functions of Type II \prime (\lambda)
		§10. Continuity of \phi_P
		§11. A Criterion for a Function to be of Type II \prime (\lambda)
		§12. An Auxiliary Result
		§13. Statement of the Two Main Theorems
		§14. Some Preparation
		§15. Proof of Theorem 13.1
		§16. Proof of Theorem 13.2
		§17. Application to Eisenstein Integrals
		§18. The c-Functions
		§19. Some Integral Formulas
		§20. A Result on Uniform Convergence
		§21. Proof of Lemma 19.4
		§22. Appendix
	[1976b] Harmonic analysis on real reductive groups III. The Maass-Selberg relations and the Plancherel formula
		1. Introduction
		Part I. The c-, j- and μ-functions
			2. Some elementary results on integrals
			3. A lemma of Arthur
			4. Induced representations
			5. Intertwining operators
			6. The mapping T \to \kappa_r
			7. The relation between induced representations and Eisenstein integrals
			8. Some simple properties of E(P: \psi: \nu)
			9. Proof of Theorem 7.1
			10. An application of Theorem 7.1
			11. Some properties of the j-functions
			12. The μ-function in a special case
			13. The μ-function in the general case and irreducibility of representations
		Part II. Maass-Selberg relations and the functional equations
			14. The Maass-Selberg relations
			15. Some preparatory remarks
			16. Proof of Theorem 14.1
			17. The functional equations for E(P: \psi: \nu)
			18. Relations between the c- and j-functions
			19. Rationality of ^0c_{Q|P}
		Part III. Explicit determination of the Plancherel measure
			20. Evaluation of (\phi_\alpha)^{(P)}_\nu
			21. The characters \Theta_{\omega, \nu}
			22. Computation of (\Theta_{\omega, \nu}, \phi_\alpha)
			23. The characters of the discrete series
			24. Determination of μ(\omega: \nu) in a special case
			25. Extension of μ, j and c on the complex space
			26. Some applications of Theorem 25.1
			27. The Plancherel formula for K-finite functions
			28. First reduction in the proof of Theorem 25.1
			29. Remarks on notation
			30. Some auxiliary lemmas
			31. Recapitulation of some earlier results
			32. Statement of Theorem 32.1
			33. First step in the proof
			34. Second step
			35. Third step
			36. The formula for μ(\omega: \nu)
		Part IV. Commuting algebras of induced representations
			37. A lemma on surjectivity
			38. The centralizer of \pi_F(\mathscr{L}_F)
			39. Closer study of a special case
			40. A bound for the intertwining number
			41. Irreducibility of the fundamental series
			42. Appendix
		References
	[1977a] The characters of reductive p-adic groups
	[1977b] The Plancherel formula for reductive p-adic groups
	[1977b'] Corrections to "The Plancherel formula for reductive p-adic groups"
	[1978] Admissible invariant distributions on reductive p-adic groups
		§1. Introduction
		Part I. Fourier transforms on the Lie algebra
			§2. The mapping f \to \phi_f
			§3. Proof of Theorem 10
			§4. Some consequences of Theorem 10
			§5. Proof of Theorem 4
			§6. Application of the induction hypothesis
			§7. Reformulation of the problem and completion of the proof
			§8. Some results on Shalika's germs
			§9. Proof of Theorem 15
		Part II. An extension of Howe's theorem
			§10. The space J(V, t, L)
			§11. Proof of Theorem 17
			§12. Reduction of the condition C(V, t, L)
		Part III. Theory on the group
			§13. Representations of compact groups
			§14. Admissible distributions
			§15. Statement of the main results
			§16. Recapitulation of Howe's theory
			§17. Application to admissible invariant distributions
			§18. First step of the reduction from G to M
			§19. Second step
			§20. Completion of the proof
			§21. Formal degree of a supercuspidal representation
		References
		Footnotes
	[1980] A submersion principle and its applications
	[1983] Supertempered distributions on real reductive groups
Harish-Chandra Collected Papers V (Posthumous)
	Harish-Chandra, in the late 1950s
	Biographical Note
	Preface
	The posthumous manuscripts of Harish-Chandra
	Harish-Chandra and G. Mackey at I. Segal's 60th birthday, 1978
	Contents
	Chapter I. The regularity theorem for disconnected groups
		Summary
		§1
		§2
		§3
		§3.1
		§4
		§5
		§6
		§7
		§8
		§8.1
		§9 The mapping \delta_{\sigma, G/M}
		§10
		§11
		§12
		§13
		Editorial remarks on the regularity theorem manuscript
	Chapter II. Fourier transforms of modified orbital integrals and the Plancherel formula
		§1
		§2
		§3
		§4
		§5
		§6
		§7
		§8
		§9
		§10. The space ^0 \mathscr{C} (G, V)
		§11
		§12
		§13
		§14
		§15
		§16
		§17
		§18
		§19
		§20
		§21
		§22
		§23
		§24
		§25
		§26
		§27
		§28
		§29
		§30
		§31
		§32
		§33
		§34
		§35
		§36
		§37
		§38
		§39
		§40
		§41
		§42
		§43
		Editorial remarks on the Plancherel manuscripts
	Chapter III. The theory of the Whittaker integral
		1. Announcement of results
			§1.1
			§1.2
			§1.3
			§1.4
			§1.5
			§1.6. The Maass-Selberg relations
			§1.7. The functional equations
			§1.8
			§1.9
			The Discrete Spectrum: §2-§7
				§2. Proof of Theorem 1.2.1
					§2.1
					§2.2
					§2.3
					§2.4
					§2.5
					§2.6
					§2.7. The p-adic case
					§2.8
				§3. Basic estimates and proof of Lemma 1.3.1
					§3.1
					§3.2
					§3.3
					§3.4
					§3.5
				§4. Constant term analysis. Theorems 1.4.4 and 1.4.5
					§4.1
					§4.2
				§5. Relation between the constant terms in G/N_0 and G
					§5.1
					§5.2
				§6. Discrete series in L_2 (G/N_0, \chi). Proof of Theorem 1.2.2
					§6.1
				§7. Relation between cusp forms on G/N_0 and on G
					§7.1
					§7.2. Some estimates
			§8. Maass-Selberg relations
				§8.1. Statement of a general result
				§8.2. Preliminaries for the proof of Proposition 8.1.1
				§8.3
				§8.4
				§8.5
				§8.6
			§9. Whittaker systems
				§9.1. Overview of the proof of analytic continuation and functional equation of the Whittaker integral
				§9.2
				§9.3
				§9.4
				§9.5
				§9.6
				§9.7
				§9.8
				§9.9
				§9.10
				§9.11
				§9.12
				§9.13
				§9.14
				§9.15
				§9.16
				§9.17
				§9.18
				§9.19
				§9.20
				§9.21
				§9.22. Applications to the Whittaker integral
				§9.23
				§9.24. The c-functions
					Remarks
					The holomorphy of the c-function in the above setting
				§9.25. Analytic continuation
				§9.26. A formula for Wh(P : \psi : \nu)*\beta
					§9.26.1
					§9.26.2
				§9.27. Wave packets and their scalar products
					§9.27.1
					§9.27.2
					§9.27.3
					§9.27.4
					§9.27.5
				Editorial remarks on the Whittaker manuscripts
	Chapter IV. Supertempered distributions on real reductive groups
		§1. The constant term of a distribution in \mathfrak{J}(G)
			§1.1
			§1.2
			§1.3
			§1.4
			§1.5
			§1.6
			§1.7
			§1.8
			§1.9
			§1.10
			§1.11
			§1.12
			§1.13
			§1.14
		§2. Supertempered distributions. The distributions \Theta_b
			§2.1
			§2.2
			§2.3
			§2.4
			§2.5
			§2.6
			§2.7
			§2.8
			§2.9
			§2.10
			§2.11
		§3. Preliminaries on tempered representations
			§3.1
			§3.2
			§3.3
			§3.4
			§3.5
			§3.6
		§4. Tempered representations and their constant terms
			§4.1
			§4.2
			§4.3
			§4.4
			§4.5
			§4.6
			§4.7
			§4.8
			§4.9
			§4.10
				Structure of the induced representations \pi_{\omega, P}
			§4.11. Proof of Lemma 4.10.21
			§4.12
			§4.13
			§4.14
			§4.15
			§4.16
			§4.17
			§4.18
			§4.19
			§4.20
			§4.21
			§4.22
			§4.23
			§4.24
			§4.25
			§4.26
			§4.27
			§4.28
			§4.29
			§4.30
		§5. Commuting algebra of induced representations
			§5.1
			§5.2
			§5.3
			§5.4
			§5.5
			§5.6
			§5.7
			§5.8
			§5.9
			§5.10
			§5.11
			§5.12
			§5.13
			§5.14
			§5.15
			§5.16
			§5.17
			§5.18
			§5.19. Appendix
		§6. Fourier transforms of orbital integrals : Part 1
			§6.1
			§6.2
			§6.3
			§6.4
			§6.5
			§6.6
			§6.7
			§6.8
			§6.9
			§6.10
			§6.11
		§7. Fourier transforms of orbital integrals: Part 2
			§7.1
			§7.2
			§7.3
			§7.4
			§7.5
			§7.6
			§7.7
			§7.8
			§7.9
	Appendix A. Some recollections of Harish-Chandra by Armand Borel
		Armand Borel and Harish-Chandra, probably in the 1970s
	Appendix B. Handwritten Letters
		Letter to G. Van Dijk, October 1, 1983
		Letter to V.S. Varadarajan, July 27, 1970
		Letter to V.S. Varadarajan, June 26, 1969
		Letter to V.S. Varadarajan, June 26, 1967
		Letter to V.S. Varadarajan, December 22, 1970
		Letter to V.S. Varadarajan, June 7, 1971
		Letter to V.S. Varadarajan, February 4, 1982
		Letter to V.S. Varadarajan, June 16, 1982
		Letters to V.S. Varadarajan, July 16 & September 3, 1982
	Appendix C. Harish-Chandra's Bibliography
	Abbreviations Used in the Bibliography