Collected Papers

Gelfand I.M. Collected papers In three volumes. vol.1 (Springer,1987)(ISBN 0387136193 )(600dpi)(892p) ......Page 3
Сopyright ......Page 4
Table of contents v ......Page 7
Preface ......Page 5
Part I. Survey lectures and articles of general content 1 ......Page 9
1. Some aspects of functional analysis and algebra 3 ......Page 11
2. On some problems of functional analysis 27 ......Page 35
3. Some questions of analysis and differential equations 37 ......Page 45
4. Integral geometry and its relation to the theory of group representations 56 ......Page 64
5. On elliptic equations 65 ......Page 73
6. Automorphic functions and the theory of representations 76 ......Page 84
7. The cohomology of infinite dimensional Lie algebras ; some questions of integral geometry 88 ......Page 96
Part II. Banach spaces and normed rings 105 ......Page 113
1. Sur un lemme de la theorie des espaces lineaires 107 ......Page 115
2. Abstrakte Funktionen und lineare Operatoren 113 ......Page 21
3. On one-parametrical groups of operators in a normed space 163 ......Page 171
4. On normed rings 169 ......Page 177
5. To the theory of normed rings. II. On absolutely convergent trigonometrical series and integrais 172 ......Page 180
6. To the theory of normed rings. III. On the ring of almost periodic functions 175 ......Page 183
7. On the theory of characters of commutative topological groups (with D.A. Rajkov) 177 ......Page 185
8. Normierte Ringe 181 ......Page 189
9. Uber verschiedene Methoden der Einfuhrung der Topologie in die Menge der maximalen Ideale eines normierten Ringes (mit G.E. Shilov) 202 ......Page 210
10. Ideale und primare Ideale in normierten Ringen 216 ......Page 224
11. Zur Theorie der Charaktere der Abelschen topologischen Gruppen 223 ......Page 231
12. Uber absolut konvergente trigonometrische Reihen und Integrale 225 ......Page 233
13. On the imbedding of normed rings into the ring of operators in Hilbert space (with M.A. Najmark) 241 ......Page 249
14. Commutative normed rings (with D.A. Rajkov and G.E. Shilov) 258 ......Page 266
15. Normed rings with an involution and their representations (with M.A. Najmark) 364 ......Page 372
Part III. Differential equations and mathematical physics 399  ......Page 407
1. Eigenfunction expansions for equations with periodic coefficients 401 ......Page 409
2. On the determination of a differential equation from its spectral function (with B.M. Levitan) 405 ......Page 413
3. On a simple identity for eigenvalues of second order differential operator (with B.M. Levitan) 457 ......Page 465
4. Solution of quantum field equations (with R.A. Minios) 462 ......Page 470
5. On the structure of the regions of stability of linear canonical Systems of differential equations with periodic coefficients (with V.B. Lidskij) 466 ......Page 474
6. Eigenfunction expansions for differential and other operators (with A.G. Kostyuchenko) 505 ......Page 513
7. On identities for eigenvalues of a second order differential operator 510 ......Page 518
8. Some problems in the theory of quasilinear equations 518 ......Page 526
9. On a theorem of Poincare (with I.I. Piatetski-Shapiro) 605 ......Page 613
10. Fractional powers of operators and Hamiltonian Systems (with L.A. Dikij) 610 ......Page 618
11. A family of Hamiltonian structures related to nonlinear integrable differential equations (with L.A. Dikij) 625 ......Page 633
12. Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations (with L.A. Dikij) 647 ......Page 655
13. The resolvent and Hamiltonian Systems (with L.A. Dikij) 684 ......Page 692
14. Integrable nonlinear equations and the Liouville theorem (with L.A. Dikij) 697 ......Page 705
15. Hamiltonian operators and algebraic structures related to them (with 1.Y&. Dorfman) 707 ......Page 715
16. The Schouten bracket and Hamiltonian operators (with I.Ya. Dorfman) 722 ......Page 730
17. Hamiltonian operators and the classical Yang-Baxter equation (with I.Ya. Dorfman) 726 ......Page 734
Essays in honour of Izrail M. Gelfand 734  ......Page 742
On his fiftieth birthday (by M.I. Vishik, A.N. Kolmogorov, S.V. Fomin, and G.E. Shilov) 735 ......Page 743
On his sixtieth birthday (by S.G. Gindikin, A.A. Kirillov, and D.B. Fuks; O.V. Lokytsievskij and N.N. Chentsov; M.B. Berkinblit, Yu.M. Vasil’ev, and M.L. Shik) 753 ......Page 761
On his seventieth birthday (by N.N. Bogolyubov, S.G. Gindikin, A.A. Kirillov, A.N. Kolmogorov, S.P. Novikov, and L.D. Faddeev) 812 ......Page 820
Some remarks on I.M. Gelfand’s works (by V.W. Guillemin and S.Stemberg) 831 ......Page 839
Tentative table of contents for volumes II and III 837 ......Page 845
Bibliography 843 ......Page 851
Acknowledgements 883  ......Page 891
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