Holomorphic Functions and Integral Representations in Several Complex Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Holomorphic Functions and Integral Representations in Several Complex Variables write by R. Michael Range. This book was released on 2013-03-09. Holomorphic Functions and Integral Representations in Several Complex Variables available in PDF, EPUB and Kindle. The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. It then continues with a comprehensive introduction to integral representations, and concludes with complete proofs of substantial global results on domains of holomorphy and on strictly pseudoconvex domains inC", including, for example, C. Fefferman's famous Mapping Theorem. The most important new feature of this book is the systematic inclusion of many of the developments of the last 20 years which centered around integral representations and estimates for the Cauchy-Riemann equations. In particu lar, integral representations are the principal tool used to develop the global theory, in contrast to many earlier books on the subject which involved methods from commutative algebra and sheaf theory, and/or partial differ ential equations. I believe that this approach offers several advantages: (1) it uses the several variable version of tools familiar to the analyst in one complex variable, and therefore helps to bridge the often perceived gap between com plex analysis in one and in several variables; (2) it leads quite directly to deep global results without introducing a lot of new machinery; and (3) concrete integral representations lend themselves to estimations, therefore opening the door to applications not accessible by the earlier methods.
Integral Representations
Integral Representations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Representations write by I. Reiner. This book was released on 2006-11-15. Integral Representations available in PDF, EPUB and Kindle.
Integral Representations and Applications
Integral Representations and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Representations and Applications write by Klaus W. Roggenkamp. This book was released on 2006-11-14. Integral Representations and Applications available in PDF, EPUB and Kindle.
Integral Representations For Spatial Models of Mathematical Physics
Integral Representations For Spatial Models of Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Representations For Spatial Models of Mathematical Physics write by Vladislav V Kravchenko. This book was released on 2020-11-26. Integral Representations For Spatial Models of Mathematical Physics available in PDF, EPUB and Kindle. This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory. This technique proves to be as powerful for solving the spatial problems of mathematical physics as complex analysis is for solving planar problems. The main analytic tool of the book, a non-harmonic version of hypercomplex analysis recently developed by the authors, is presented in detail. There are given applications of this theory to the boundary value problems of electrodynamics and elasticity theory as well as to the problem of quark confinement. A new approach to the linearization of special classes of the self-duality equation is also considered. Detailed proofs are given throughout. The book contains an extensive bibliography on closely related topics. This book will be of particular interest to academic and professional specialists and students in mathematics and physics who are interested in integral representations for partial differential equations. The book is self-contained and could be used as a main reference for special course seminars on the subject.
Integral Representations For Spatial Models of Mathematical Physics
Integral Representations For Spatial Models of Mathematical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Representations For Spatial Models of Mathematical Physics write by Vladislav V Kravchenko. This book was released on 2020-11-25. Integral Representations For Spatial Models of Mathematical Physics available in PDF, EPUB and Kindle. This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory. This technique proves to be as powerful for solving the spatial problems of mathematical physics as complex analysis is for solving planar problems. The main analytic tool of the book, a non-harmonic version of hypercomplex analysis recently developed by the authors, is presented in detail. There are given applications of this theory to the boundary value problems of electrodynamics and elasticity theory as well as to the problem of quark confinement. A new approach to the linearization of special classes of the self-duality equation is also considered. Detailed proofs are given throughout. The book contains an extensive bibliography on closely related topics. This book will be of particular interest to academic and professional specialists and students in mathematics and physics who are interested in integral representations for partial differential equations. The book is self-contained and could be used as a main reference for special course seminars on the subject.
