REAL AND COMPLEX ANALYSIS

By JENNIFER BROWN

CONTENTS CHAPTER I GENERAL REGULAR AND HARMONIC FUNCTIONS IN REAL AND COMPLEX CLI?ORD ANALYSIS 1 REAL AND COMPLEX CLI?ORD ALGEBRA 2 CAUCHY INTEGRAL FORMULA OF REGULAR FUNCTIONS AND PLEMELJ FORMULA OF CAUCHY TYPE INTEGRALS IN REAL CLI?ORD ANALYSIS 4 THE CHAIN RULE AND THE DI?ERENTIATION RULES OF NEW HYPERCOMPLEX DI?ERENTIAL FUNCTIONS IN CLI?ORD ANALYSIS 5 REGULAR AND HARMONIC FUNCTIONS IN COMPLEX CLI?ORD ANALYSIS CHAPTER II BOUNDARY VALUE PROBLEMS OF GENERALIZED REGULAR FUNCTIONS AND HYPERBOLIC HARMONIC FUNCTIONS IN REAL CLI?ORD ANALYSIS 3 A NONLINEAR BOUNDARY VALUE PROBLEM WITH HASEMAN SHIFT FOR REGULAR FUNCTIONS IN REAL CLI?ORD ANALYSIS CHAPTER III NONLINEAR BOUNDARY VALUE PROBLEMS FOR GENERALIZED BIREGULAR FUNCTIONS IN REAL CLI?ORD ANALYSIS 2 NONLINEAR BOUNDARY VALUE PROBLEMS FOR GENERALIZED BIREGULAR FUNCTIONS WITH HASEMAN SHIFT IN REAL CLI?ORD ANALYSIS 3 A NONLINEAR BOUNDARY VALUE PROBLEM FOR BIREGULAR FUNCTION VECTORS IN REAL CLI?ORD ANALYSIS 1 HARMONIC ANALYSIS IN CLASSICAL DOMAINS FOR SEVERAL COMPLEX VARIABLES 2 THE DIRICHLET PROBLEM OF SECOND ORDER COMPLEX PARTIAL DI?ERENTIAL EQUATIONS FOR CLASSICAL DOMAINS IN COMPLEX CLI?ORD ANALYSIS 3 A PSEUDO-MODI?ED BOUNDARY VALUE PROBLEM OF SECOND ORDER REAL PARTIAL DI?ERENTIAL EQUATIONS FOR A HYPERBALL IN REAL CLI?ORD ANALYSIS CHAPTER V INTEGRALS DEPENDENT ON PARAMETERS AND SIN- GULAR INTEGRAL EQUATIONS IN REAL CLI?ORD ANALYSIS 1 CAUCHY’S ESTIMATES OF INTEGRALS WITH ONE PARAMETER IN REAL CLIF- FORD ANALYSIS 2 THREE KINDS OF POINCAR´E-BERTRAND TRANSFORMATION FORMULAS OF SINGULAR INTEGRALS WITH A CAUCHY’S KERNEL IN REAL CLI?ORD ANA- LYSIS 3 THE COMPOSITION FORMULA AND INVERSE FORMULA OF SINGULAR INTEGRALS WITH A CAUCHY’S KERNEL IN REAL CLI?ORD ANALYSIS 4 THE FREDHOLM THEORY OF A KIND OF SINGULAR INTEGRAL EQUATIONS IN REAL CLI?ORD ANALYSIS 5 GENERALIZED INTEGRALS AND INTEGRAL EQUATIONS IN REAL CLI?ORD ANALYSIS CHAPTER VI SEVERAL KINDS OF HIGH ORDER SINGULAR INTEGRALS AND DI?ERENTIAL INTEGRAL EQUATIONS IN REAL CLI?ORD ANALYSIS 1 THE HADAMARD PRINCIPAL VALUE AND DI?ERENTIAL FORMULAS OF HIGH ORDER SINGULAR INTEGRALS WITH ONE SINGULAR POINT IN REAL CLI?ORD ANALYSIS CHAPTER VII RELATION BETWEEN CLI?ORD ANALYSIS AND ELLIPTIC EQUATIONS 2 BOUNDARY VALUE PROBLEMS OF DEGENERATE ELLIPTIC EQUATIONS OF SEC- OND ORDER 4 OBLIQUE DERIVATIVE PROBLEMS FOR REGULAR FUNCTIONS AND ELLIPTIC SYSTEMS IN CLI?ORD ANALYSIS