Topics In Mathematical Analysis: A Volume Dedicated To The Memory Of A L Cauchy

A Volume Dedicated to the Memory of A L Cauchy

Themistocles M Rassias

• Publisher: World Scientific
• Year: 1989
• Print ISBN: 9789971506667, 9789971506667
• eBook ISBN: 9789814434201
• Topic: Mathematics
• Subtopic: Mathematics General
• Index: Mathematics

This volume aims at surveying and exposing the main ideas and principles accumulated in a number of theories of Mathematical Analysis. The underlying methodological principle is to develop a unified approach to various kinds of problems. In the papers presented, outstanding research scientists discuss the present state of the art and the broad spectrum of topics in the theory.

Table of contents

• PREFACE
• TABLE OF CONTENTS
• TOPICS IN MATHEMATICAL ANALYSIS
• SYMMETRIC SECOND DIFFERENCES IN PRODUCT FORM ON GROUPS
• ANALYTIC AND GEVREY REGULARITY FOR LINEAR PARTIAL DIFFERENTIAL OPERATORS
• ON THE MULTIPLICATIVE CAUCHY FOR CONSTRUCTIBLE REAL NUMBERS
• ASYMPTOTIC VERSUS CLASSICAL MATHEMATICS
• ON A WEIGHTED EIGENVALUE PROBLEM OF EQUATIONS OF MIXED TYPE
• APPLICATION OF THE CAUCHY TYPE INTEGRALS AND THEIR GENERALIZATIONS IN THE THEORY OF AUTOMORPHIC FUNCTIONS
• THE LINEAR AND NONLINEAR CAUCHY-POISSON WAVE PROBLEMS FOR AN INVISCID OR VISCOUS LIQUID
• A GENERAL MATHEMATICAL THEORY OF A THREE-PORT SURFACE ACOUSTIC WAVE NETWORK WITH APPLICATIONS
• PATH DEPENDENT ANALYSIS
• ON THE REPRESENTATION OF FUNCTIONALS AND THE STABILITY OF MAPPINGS IN HILBERT AND BANACH SPACES
• AN ELEMENTARY APPROACH TO THE GENERALIZED FOURIER TRANSFORM
• ON A CLASS OF ALTERNATIVE FUNCTIONAL EQUATIONS OF CAUCHY TYPE
• q-EXTENSIONS OF BARNES', CAUCHY'S, AND EULER'S BETA INTEGRALS 1
• THE GEOMETRICAL INDEX THEOREM FOR CLIFFORD MODULES
• OLD AND NEW PROBLEMS IN GEOMETRIC FUNCTION THEORY
• APPLICATIONS OF THE THEORY OF GENERALIZED DIFFERENTIAL EQUATIONS
• HOMOLOGY GROUPS, DIFFERENTIAL FORMS AND HECKE RINGS ON SIEGEL MODULAR VARIETIES
• POLYNOMIAL OPERATORS
• AN INFINITE DIMENSIONAL EXTENSION OF THEOREMS OF HARTMAN AND WINTNER ON MONOTONE POSITIVE SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS
• A REPRESENTATION OF THE SOLUTION OF THE CAUCHY'S PROBLEM FOR A DEGENERATE HYPERBOLIC EQUATION IN SEVERAL INDEPENDENT VARIABLES
• ON SOME VARIANTS OF FRANKL'S PROBLEM FOR THE LAVRENT'EV-BITSADZE EQUATION IN A HALF-PLANE
• UNBOUNDED OPERATORS ASSOCIATED TO UNITARY REPRESETATIONS OF NILPOTENT LIE GROUPS
• CAUCHY EQUATIONS AND SOME OF THEIR APPLICATIONS
• AN ULTRANET TECHNIQUE IN METRIC FIXED POINT THEORY
• ON SINGULAR INTEGRAL OPERATORS AND GENERALIZATIONS
• NONNEGATIVITY OF MASS AND ENTROPY IN CONTINUOUS DYNAMICS
• EXACT CONTROLLABILITY OF THE EULER-BERNOULLI EQUATION WITH BOUNDARY CONTROLS FOR DISPLACEMENT AND MOMENT
• REGULARITY THEORY FOR A CLASS OF NONHOMOGENOUS EULER-BERNOULLI EQUATIONS: A COSINE OPERATOR APPROACH
• NONLOCAL REDUCTION METHOD IN DIFFERENTIAL EQUATIONS THEORY
• COMPLEX ORTHOGONALITY ON THE SEMICIRCLE WITH RESPECT TO GEGENBAUER WEIGHT: THEORY AND APPLICATIONS
• FUNCTIONS OF HARDY-ORLICZ CLASS ON RIEMANN SURFACES
• AN APPLICATION OF THE CAUCHY-KOWALEWSKY THEOREM: THE MINIMAL SURFACE EQUATION AT CORNERS
• ON CERTAIN PROPERTIES OF POLYNOMIALS AND THEIR DERIVATIVE
• ON CHARACTERIZATIONS OF INNER PRODUCT SPACES AND GENERALIZATION OF THE H. BOHR INEQUALITY
• THE CAUCHY FUNCTIONAL EQUATION ON REAL BANACH ALGEBRAS
• A UNIFIED PRESENTATION OF CERTAIN BILATERAL GENERATING FUNCTIONS FOR A CLASS OF POLYNOMIALS
• MARTIN COMPACTIFICATION FOR A SCHRODINGER EQUATION IN AN ANGULAR DOMAIN
• PAINLEVÉ PROPERTY AND LIE-BACKLUND SYMMETRIES OF A CLASS OF COUPLED NONLINEAR EVOLUTION EQUATIONS
• THE ROLE OF MINIMAL SURFACES IN THE PHYSICS OF ELEMENTARY PARTICLES
• UNIFIED CONVERGENCE ANALYSIS FOR A CLASS OF ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIO
• NON-FREDHOLM BOUNDARY-VALUE PROBLEMS FOR MULTI-DIMENSIONAL ELLIPTIC EQUATIONS
• NONLOCAL CAUCHY-GOURSAT PROBLEM
• SEVEN PROBLEMS IN MATHEMATICAL ANALYSIS
• AUTHOR INDEX