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Functions Of Completely Regular Growth
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Book Synopsis Functions of Completely Regular Growth by : L.I. Ronkin
Download or read book Functions of Completely Regular Growth written by L.I. Ronkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with functions of completely regular growth (FCRG), i.e., functions that have, in some sense, good asymptotic behaviour out of an exceptional set. The theory of entire functions of completely regular growth of on variable, developed in the late 1930s, soon found applications in both mathematics and physics. Later, the theory was extended to functions in the half-plane, subharmonic functions in space, and entire functions of several variables. This volume describes this theory and presents recent developments based on the concept of weak convergence. This enables a unified approach and provides a comparatively simple presentation of the classical Levin-Pfluger theory. Emphasis is put on those classes of functions which are particularly important for applications -- functions having a bounded spectrum and finite exponential sums. For research mathematicians and physicists whose work involves complex analysis and its applications. The book will also be useful to those working in some areas of radiophysics and optics.
Book Synopsis Functions of Completely Regular Growth by : L.I. Ronkin
Download or read book Functions of Completely Regular Growth written by L.I. Ronkin and published by Springer. This book was released on 1992-03-31 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Et moi9 .. ,' si j*avait su comment en revenir, je One service mathematics has rendered the n 'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded nonsense'. The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought A highly necessary tool in a world where both feedback and nonlineari ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser vice topology has rendered mathematical physics .. .'; 'One service logic has rendered computer science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Book Synopsis Growth Theory of Subharmonic Functions by : Vladimir S. Azarin
Download or read book Growth Theory of Subharmonic Functions written by Vladimir S. Azarin and published by Springer Science & Business Media. This book was released on 2008-10-20 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables. The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function. All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.
Book Synopsis Lectures on Entire Functions by : B. Ya Levin
Download or read book Lectures on Entire Functions written by B. Ya Levin and published by American Mathematical Soc.. This book was released on 1996-07-23 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a brilliant university lecturer, B. Ya. Levin attracted a large audience of working mathematicians and of students from various levels and backgrounds. For approximately 40 years, his Kharkov University seminar was a school for mathematicians working in analysis and a center for active research. This monograph aims to expose the main facts of the theory of entire functions and to give their applications in real and functional analysis. The general theory starts with the fundamental results on the growth of entire functions of finite order, their factorization according to the Hadamard theorem, properties of indicator and theorems of Phragmen-Lindelof type.
Book Synopsis Distribution of Zeros of Entire Functions by : Boris I︠A︡kovlevich Levin
Download or read book Distribution of Zeros of Entire Functions written by Boris I︠A︡kovlevich Levin and published by . This book was released on 1964 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 20 Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974 by :
Download or read book 20 Lectures Delivered at the International Congress of Mathematicians in Vancouver, 1974 written by and published by American Mathematical Soc.. This book was released on 1977-12-31 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Completeness Theorems and Characteristic Matrix Functions by : Marinus A. Kaashoek
Download or read book Completeness Theorems and Characteristic Matrix Functions written by Marinus A. Kaashoek and published by Springer Nature. This book was released on 2022-06-13 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that are investigated include trace class and Hilbert-Schmidt operators, finite rank perturbations of Volterra operators, infinite Leslie operators, discrete semi-separable operators, integral operators with semi-separable kernels, and period maps corresponding to delay differential equations. The classes of unbounded operators that are investigated appear in a natural way in the study of infinite dimensional dynamical systems such as mixed type functional differential equations, age-dependent population dynamics, and in the analysis of the Markov semigroup connected to the recently introduced zig-zag process.
Book Synopsis Growth Theory of Subharmonic Functions by : Vladimir S. Azarin
Download or read book Growth Theory of Subharmonic Functions written by Vladimir S. Azarin and published by Springer Science & Business Media. This book was released on 2008-12-14 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book an account of the growth theory of subharmonic functions is given, which is directed towards its applications to entire functions of one and several complex variables. The presentation aims at converting the noble art of constructing an entire function with prescribed asymptotic behaviour to a handicraft. For this one should only construct the limit set that describes the asymptotic behaviour of the entire function. All necessary material is developed within the book, hence it will be most useful as a reference book for the construction of entire functions.
Book Synopsis Distribution of Zeros of Entire Functions by : Boris I_Akovlevich Levin
Download or read book Distribution of Zeros of Entire Functions written by Boris I_Akovlevich Levin and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics by : L.S. Maergoiz
Download or read book Asymptotic Characteristics of Entire Functions and Their Applications in Mathematics and Biophysics written by L.S. Maergoiz and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised and enlarged second edition is devoted to asymptotical questions of the theory of entire and plurisubharmonic functions. A separate chapter deals with applications in biophysics. The book is of interest to research specialists in theoretical and applied mathematics, postgraduates and students who are interested in complex and real analysis and its applications.
Book Synopsis Zeros and Growth of Entire Functions of Several Variables, the Complex Monge-Ampère Operator and Some Related Topics by : Xing Yang
Download or read book Zeros and Growth of Entire Functions of Several Variables, the Complex Monge-Ampère Operator and Some Related Topics written by Xing Yang and published by . This book was released on 1992 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Entire and Subharmonic Functions by :
Download or read book Entire and Subharmonic Functions written by and published by American Mathematical Soc.. This book was released on 1992 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Subharmonic Functions of Completely Regular Growth in a Closed Cone by : Xing Yang
Download or read book On Subharmonic Functions of Completely Regular Growth in a Closed Cone written by Xing Yang and published by . This book was released on 1992 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Analysis and Special Topics in Harmonic Analysis by : Carlos A. Berenstein
Download or read book Complex Analysis and Special Topics in Harmonic Analysis written by Carlos A. Berenstein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. Topics considered include: Boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.
Book Synopsis Mittag-Leffler Functions, Related Topics and Applications by : Rudolf Gorenflo
Download or read book Mittag-Leffler Functions, Related Topics and Applications written by Rudolf Gorenflo and published by Springer. This book was released on 2014-10-16 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.
Book Synopsis Linear and Complex Analysis Problem Book 3 by : Victor P. Havin
Download or read book Linear and Complex Analysis Problem Book 3 written by Victor P. Havin and published by Springer. This book was released on 2006-12-08 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 2-volume-book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and metho- dological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved!
Book Synopsis Several Complex Variables III by : G.M. Khenkin
Download or read book Several Complex Variables III written by G.M. Khenkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space
