Entire Functions And Related Parts Of Analysis
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Entire Functions And Related Parts Of Analysis
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Author : Jacob Korevaar
language : en
Publisher: American Mathematical Soc.
Release Date : 1968-12-31
Entire Functions And Related Parts Of Analysis written by Jacob Korevaar and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968-12-31 with Mathematics categories.
Entire Functions And Related Parts Of Analysis
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Author : Jacob Korevaar
language : en
Publisher:
Release Date : 1966
Entire Functions And Related Parts Of Analysis written by Jacob Korevaar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Functions of complex variables categories.
Entire Functions And Related Parts Of Analysis
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Author : Jacob Korevaar
language : en
Publisher:
Release Date : 1966
Entire Functions And Related Parts Of Analysis written by Jacob Korevaar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Functions of complex variables categories.
Introduction To The Theory Of Entire Functions
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Author :
language : en
Publisher: Academic Press
Release Date : 1974-02-08
Introduction To The Theory Of Entire Functions written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-02-08 with Mathematics categories.
Introduction to the Theory of Entire Functions
Complex Analysis
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Author : Elias M. Stein
language : en
Publisher: Princeton University Press
Release Date : 2010-04-22
Complex Analysis written by Elias M. Stein and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-22 with Mathematics categories.
With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.
Entire Functions Of Several Complex Variables
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Author : Pierre Lelong
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Entire Functions Of Several Complex Variables written by Pierre Lelong and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
I - Entire functions of several complex variables constitute an important and original chapter in complex analysis. The study is often motivated by certain applications to specific problems in other areas of mathematics: partial differential equations via the Fourier-Laplace transformation and convolution operators, analytic number theory and problems of transcen dence, or approximation theory, just to name a few. What is important for these applications is to find solutions which satisfy certain growth conditions. The specific problem defines inherently a growth scale, and one seeks a solution of the problem which satisfies certain growth conditions on this scale, and sometimes solutions of minimal asymp totic growth or optimal solutions in some sense. For one complex variable the study of solutions with growth conditions forms the core of the classical theory of entire functions and, historically, the relationship between the number of zeros of an entire function f(z) of one complex variable and the growth of If I (or equivalently log If I) was the first example of a systematic study of growth conditions in a general setting. Problems with growth conditions on the solutions demand much more precise information than existence theorems. The correspondence between two scales of growth can be interpreted often as a correspondence between families of bounded sets in certain Frechet spaces. However, for applications it is of utmost importance to develop precise and explicit representations of the solutions.
J Contractive Matrix Valued Functions And Related Topics
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Author : Damir Z. Arov
language : en
Publisher: Cambridge University Press
Release Date : 2008-11-06
J Contractive Matrix Valued Functions And Related Topics written by Damir Z. Arov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-06 with Mathematics categories.
A comprehensive introduction to the theory of J-contractive and J-inner matrix valued functions with respect to the open upper half-plane and a number of applications of this theory. It will be of particular interest to those with an interest in operator theory and matrix analysis.
Book Catalog Of The Library And Information Services Division Subject Index
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Author : Environmental Science Information Center. Library and Information Services Division
language : en
Publisher:
Release Date : 1977
Book Catalog Of The Library And Information Services Division Subject Index written by Environmental Science Information Center. Library and Information Services Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Earth sciences categories.
Boundary Value Problems Weyl Functions And Differential Operators
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Author : Jussi Behrndt
language : en
Publisher: Springer Nature
Release Date : 2020-01-03
Boundary Value Problems Weyl Functions And Differential Operators written by Jussi Behrndt and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-03 with Mathematics categories.
This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. It includes self-contained treatments of the extension theory of symmetric operators and relations, spectral characterizations of selfadjoint operators in terms of the analytic properties of Weyl functions, form methods for semibounded operators, and functional analytic models for reproducing kernel Hilbert spaces. Further, it illustrates these abstract methods for various applications, including Sturm-Liouville operators, canonical systems of differential equations, and multidimensional Schrödinger operators, where the abstract Weyl function appears as either the classical Titchmarsh-Weyl coefficient or the Dirichlet-to-Neumann map. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory. Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering.
Book Catalog Of The Library And Information Services Division
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Author : Environmental Science Information Center. Library and Information Services Division
language : en
Publisher:
Release Date : 1977
Book Catalog Of The Library And Information Services Division written by Environmental Science Information Center. Library and Information Services Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.