Proceedings of the Second ISAAC Congress: Volume 1: This project has been executed with Grant No. 11–56 from the Commemorative Association for the Japan World Exposition (1970)

Front Matter....Pages i-xxxi
A Central Limit Theorem for the Simple Random Walk on a Crystal Lattice....Pages 1-6
Level Statistics for Quantum Hamiltonians....Pages 7-14
Fermion Process and Fredholm Determinant....Pages 15-23
Strong Type Estimation from Weak Type Estimates for Some Integral Operators....Pages 25-30
Conjugate Fourier Series and Integrals of Several Variables in the L-1 Sense....Pages 31-39
Admissible Wavelets and Siegel Domains....Pages 41-49
Some Results on a Class of Oscillatory Integrals....Pages 51-57
Weighted Hardy Spaces on a Domain....Pages 59-64
Commutators of Singular Integral Operators on Morrey Spaces with Some Growth Functions....Pages 65-73
On Generalized Fractional Integrals in the Orlicz Spaces....Pages 75-81
Weak (1,1) Estimates for Littlewood-Paley Functions with Rough Kernels....Pages 83-87
A Note on Average Densities of Brownian Intersection Measures....Pages 89-95
Problem of Integral Geometry on Paraboloids with Perturbation....Pages 97-103
The Connection between Discrete and Continuous Realisations of Least Squares Method....Pages 105-112
An Eigenvalue Problem for Analytic Functions....Pages 113-118
On Quadrature Formulae of Hypersingular Integrals....Pages 119-127
Theoretical and Numerical Analysis of Inversion of Satellite Remote Sensing....Pages 129-136
Optimization of Vector-Valued Integral Equations for a Class....Pages 137-143
Nonlinear Riemann-Hilbert Problems of First Order Quasilinear Elliptic System....Pages 145-151
The Algorithm Implementation of Cauchy Singular Integral in Daubechies Wavelets on the Interval....Pages 153-161
Closed Form Solution for a Hypersingular Integral Equation of Order n+1....Pages 163-167
Cyclically Symmetric Crack Problems of Different Media II....Pages 169-174
Linear Conjugate Boundary Value Problems for First Order Ordinary System of Linear Differential Equations with Singular or Super Singular Coefficients....Pages 175-183
Initial-Mixed Boundary Value Problems for Parabolic Equations of Second Order with Measurable Coefficients in a Higher Dimensional Domain....Pages 185-192
Stability Estimates in State-Estimation for a Heat Process....Pages 193-198
Plastic Zone and Opening Displacement for an Asymmetrical Fast Propagating Semi-Infinite Crack in a Strip....Pages 199-206
Certain Class of Hyperanalytic Haseman Boundary Value Problems....Pages 207-213
On Compound Boundary Value Problems for Nonlinear Elliptic Systems of First Order....Pages 215-221
On the Integral of Cauchy Type and the Generalized Harnack Theorem for Bianalytic Functions....Pages 223-230
The Growth of Spirallike Mappings....Pages 231-236
Subordination Principle to Functions of Several Complex Variables....Pages 237-242
P-Adic Nevanlinna Theory and Functional Analysis....Pages 243-250
Unique Range Sets in P-Adic and Complex Analysis....Pages 251-259
On Uniqueness of Meromorphic Functions Sharing Finite Sets....Pages 261-269
Defect Relations for Moving Targets....Pages 271-297
The Green-Residue Theorem and the Nevanlinna’s Second Theorem on Small Functions in Banach Spaces....Pages 299-310
Dynamics of Transcendental Functions....Pages 311-316
On the Growth of Solutions of Algebraic Differential Equations....Pages 317-327
Numerical Conformal Mapping by the Charge Simulation Method and its Application to Potential Flow Analysis....Pages 329-336
Hénon Mapping of Complex N-Space in Complex N-Space....Pages 337-345
The Carathéodory Convergence of Fatou Components of Polynomials to Baker Domains or Wandering Domains....Pages 347-356
DE-Type Quadrature Formulae for Cauchy Principal-Value Integrals and for Hadamard Finite-Part Integrals....Pages 357-366
Mathematical Models Used for Sound Synthesis....Pages 367-373
An Integral Equation Method of Numerical Conformal Mapping onto Parallel, Circular and Radial Slit Domains....Pages 375-382
Uniformly Perfect Sets, Rational Semigroups, Kleinian Groups and Iterated Functions Systems....Pages 383-388
Non-Real Zeros of Derivatives of Real Entire Functions and Some Pólya-Wiman Conjectures....Pages 389-397
On Meromorphic Solutions of Linear Differential Equations with at Least One Transcendental Coefficients....Pages 399-411
Hausdorff Dimension of the Chaotic Set of the N-Shaped Mapping....Pages 413-418
Algebraic Dependence of Meromorphic Mappings with Deficiencies into Algebraic Varieties....Pages 419-426
Nevanlinna Theory and Stochastic Calculus....Pages 427-432
Elimination of Defects of Non-Archchimedean Holomorphic Curves....Pages 433-449
Deficiencies of Meromorphic Functions....Pages 451-457
An Example of Analogy of Nevanlinna Theory and Diophantine Approximation....Pages 459-465
Uniqueness Problems on Meromorphic Functions which Share Four Small Functions....Pages 467-472
A Space of Meromorphic Mappings and Defects of a Meromorphic Mapping into P n (C)....Pages 473-478
On Picard Constants of Algebroid Riemann Surfaces....Pages 479-487
On Deficiencies and Ramification Indices for Painlevé Transcendents of the Second Kind....Pages 489-493
Uniqueness of Holomorphic Mappings with the Same Inverse Images of Hypersurfaces....Pages 495-500
An Improvement of the Second Fundamental Theorem for Holomorphic Curves....Pages 501-510
On Factorization of Entire Functions of Two Complex Variables....Pages 511-521
Borel Removable Sets in Value Distribution Theory....Pages 523-530
Meromorphic Solutions of Algebraic Differential Equations and α -Yoshida Functions....Pages 531-539
Meromorphic Solutions of Difference Equations....Pages 541-550
Some Recent Progress in the Uniquess Theory of Meromorphic Functions....Pages 551-565
On the Uniquess of Meromorphic Functions Concerning Fix-Points....Pages 565-573
Navier-Stokes Equations and Time-Global Strong Solutions....Pages 575-581
Set-Valued Mappings on LCA Group and Approximate Identity....Pages 581-584
Minkowski’s Inequality for Extended Mean Values....Pages 585-592
On Some Estimates of Solutions of Some Degenerate Nonlinear Parabolic Equations....Pages 593-604
Holomorphic Functions of a Complex Variable in Clifford Analysis....Pages 605-611
Algebras of Hypercomplex Monogenic Functions and Axial-Symmetrical Potential Fields....Pages 613-622
Local Contour-Solid Theorems for Finely Hypoharmonic Functions....Pages 623-634
Analytic Smoothing Effects for Nonlocal Nonlinear Shrödoinger Equations in Two Space Dimensions....Pages 635-641
Representations of Initial Heat Distributions by Means of their Heat Distributions....Pages 643-649
Locally Convex *-Algebras and the Thermodynamical Limit of Quantum Models....Pages 651-659
On Continuity Properties of Vertex Operators....Pages 661-669
A Multivariable Von Neumann’s Inequality....Pages 671-677
CQ*-Algebras of Operators and Application to Quantum Models....Pages 679-685
On Structure of C * -Like Locally Convex * -Algebras....Pages 687-696
Infinite-Dimensional Groups Applications to Industrial Problems....Pages 697-705
Integral Operators Related to Boundary Value Problems in 2-D Domains with Cuts....Pages 707-718
On Computation of Some Asymptotic Characteristics of Vacuum Polarization in Schwarzschild Space-Time....Pages 719-726
Computation of One-Parametric Families of Solutions of Nonlinear Equations....Pages 727-735
Parameter Continuation Method for Ordinary Differential Equations....Pages 737-742
Schwartz’ Kernel Theorem for Fourier Hyperfunctions....Pages 743-754
Every Stieltjes Moment Problem has Solutions in Gelfand-Shilov Spaces....Pages 755-759
Roumieu Type Tempered Ultradistributions and Fourier Hyperfunctions....Pages 761-769
Holomorphic Functions on the Dual Lie Ball....Pages 771-780
Sato Hyperfunctions Valued in a Locally Convex Space....Pages 781-788
Density Theorems for Exponential Systems in the Bergman Space of Holomorphic Functions....Pages 789-797
Back Matter....Pages 799-799