Description
DOVER PUBLICATIONS Methods Of The Theory Of Functions Of Many Complex Variables 2007 Edition by VLADIMIROV, VASILIY SERGEYEVICH
This systematic exposition outlines the fundamentals of the theory of single sheeted domains of holomorphy. It further illustrates applications to quantum field theory, the theory of functions, and differential equations with constant coefficients. Students of quantum field theory will find this text of particular value. The text begins with an introduction that defines the basic concepts and elementary propositions, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters address the theory of plurisubharmonic functions and pseudoconvex domains, along with characteristics of domains of holomorphy. These explorations are further examined in terms of four types of domains: multiple-circular, tubular, semitubular, and Hartogs' domains. Surveys of integral representations focus on the Martinelli-Bochner, Bergman-Weil, and Bochner representations. The final chapter is devoted to applications, particularly those involved in field theory. It employs the theory of generalized functions, along with the theory of functions of several complex variables. Guide for Readers Abbreviations Editors and Editorial BoardConsultantsContributors1 Nutritional Disorders 2 Gastrointestinal Disorders 3 Hepatic and Biliary Disorders 4 Musculoskeletal and Connective Tissue Disorders 5 Pulmonary Disorders 6 Critical Care Medicine 7 Cardiovascular Disorders 8 Ear, Nose, and Throat, and Disorders 9 Dental Disorders 10 Eye Disorders 11 Dermatologic Disorders 12 Hematology and Oncology 13 Endocrine and Metabolic Disorders 14 Immunology; Allergic Disorders 15 Infectious Diseases 16 Psychiatric Disorders 17 Neurologic Disorders 18 Genitourinary Disorders 19 Gynecology and Obstetrics 20 Pediatrics 21 Geriatrics 22 Clinical Pharmacology 23 Injuries; Poisoning 24 Special Subjects Appendixes Ready Reference Guides Normal Laboratory ValuesTrade Names of Some Commonly Used DrugsIndex