Sharp Real Part Theorems PDF Download
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Author | : Gershon Kresin |
Publisher | : Springer |
Total Pages | : 153 |
Release | : 2007-03-05 |
Genre | : Mathematics |
ISBN | : 3540695745 |
Download Sharp Real-Part Theorems Book in PDF, ePub and Kindle
This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.
Author | : Gershon Kresin |
Publisher | : American Mathematical Soc. |
Total Pages | : 330 |
Release | : 2012-08-15 |
Genre | : Mathematics |
ISBN | : 0821889818 |
Download Maximum Principles and Sharp Constants for Solutions of Elliptic and Parabolic Systems Book in PDF, ePub and Kindle
The main goal of this book is to present results pertaining to various versions of the maximum principle for elliptic and parabolic systems of arbitrary order. In particular, the authors present necessary and sufficient conditions for validity of the classical maximum modulus principles for systems of second order and obtain sharp constants in inequalities of Miranda-Agmon type and in many other inequalities of a similar nature. Somewhat related to this topic are explicit formulas for the norms and the essential norms of boundary integral operators. The proofs are based on a unified approach using, on one hand, representations of the norms of matrix-valued integral operators whose target spaces are linear and finite dimensional, and, on the other hand, on solving certain finite dimensional optimization problems. This book reflects results obtained by the authors, and can be useful to research mathematicians and graduate students interested in partial differential equations.
Author | : Bernard R. Gelbaum |
Publisher | : Springer Science & Business Media |
Total Pages | : 339 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461209935 |
Download Theorems and Counterexamples in Mathematics Book in PDF, ePub and Kindle
The gratifying response to Counterexamples in analysis (CEA) was followed, when the book went out of print, by expressions of dismay from those who were unable to acquire it. The connection of the present volume with CEA is clear, although the sights here are set higher. In the quarter-century since the appearance of CEA, mathematical education has taken some large steps reflected in both the undergraduate and graduate curricula. What was once taken as very new, remote, or arcane is now a well-established part of mathematical study and discourse. Consequently the approach here is designed to match the observed progress. The contents are intended to provide graduate and ad vanced undergraduate students as well as the general mathematical public with a modern treatment of some theorems and examples that constitute a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology. The items included are presented in the spirit of a conversation among mathematicians who know the language but are interested in some of the ramifications of the subjects with which they routinely deal. Although such an approach might be construed as demanding, there is an extensive GLOSSARY jlNDEX where all but the most familiar notions are clearly defined and explained. The object ofthe body of the text is more to enhance what the reader already knows than to review definitions and notations that have become part of every mathematician's working context.
Author | : Pandelis Dodos |
Publisher | : Springer Science & Business Media |
Total Pages | : 180 |
Release | : 2010-05-10 |
Genre | : Mathematics |
ISBN | : 3642121527 |
Download Banach Spaces and Descriptive Set Theory: Selected Topics Book in PDF, ePub and Kindle
This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous “intermediate” results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective.
Author | : Yuliya Mishura |
Publisher | : Springer |
Total Pages | : 411 |
Release | : 2008-04-12 |
Genre | : Mathematics |
ISBN | : 3540758739 |
Download Stochastic Calculus for Fractional Brownian Motion and Related Processes Book in PDF, ePub and Kindle
This volume examines the theory of fractional Brownian motion and other long-memory processes. Interesting topics for PhD students and specialists in probability theory, stochastic analysis and financial mathematics demonstrate the modern level of this field. It proves that the market with stock guided by the mixed model is arbitrage-free without any restriction on the dependence of the components and deduces different forms of the Black-Scholes equation for fractional market.
Author | : Árpád Baricz |
Publisher | : Springer Science & Business Media |
Total Pages | : 225 |
Release | : 2010-05-25 |
Genre | : Mathematics |
ISBN | : 3642122299 |
Download Generalized Bessel Functions of the First Kind Book in PDF, ePub and Kindle
This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.
Author | : Türker Biyikoglu |
Publisher | : Springer |
Total Pages | : 120 |
Release | : 2007-07-07 |
Genre | : Mathematics |
ISBN | : 3540735100 |
Download Laplacian Eigenvectors of Graphs Book in PDF, ePub and Kindle
This fascinating volume investigates the structure of eigenvectors and looks at the number of their sign graphs ("nodal domains"), Perron components, and graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology. Eigenvectors of graph Laplacians may seem a surprising topic for a book, but the authors show that there are subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs.
Author | : |
Publisher | : |
Total Pages | : 494 |
Release | : 2007 |
Genre | : Functional differential equations |
ISBN | : |
Download Functional Differential Equations Book in PDF, ePub and Kindle
Author | : Hassler Whitney |
Publisher | : Princeton University Press |
Total Pages | : 404 |
Release | : 2015-12-08 |
Genre | : Mathematics |
ISBN | : 1400877571 |
Download Geometric Integration Theory Book in PDF, ePub and Kindle
A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and complete proofs of the basic theorems. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author | : Cho-Ho Chu |
Publisher | : Springer |
Total Pages | : 118 |
Release | : 2008-08-15 |
Genre | : Mathematics |
ISBN | : 3540697985 |
Download Matrix Convolution Operators on Groups Book in PDF, ePub and Kindle
In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures. Among various spectral results, the L2-spectrum of such an operator is completely determined and as an application, the spectrum of a discrete Laplacian on a homogeneous graph is computed using this result. The contractivity properties of matrix convolution semigroups are studied and applications to harmonic functions on Lie groups and Riemannian symmetric spaces are discussed. An interesting feature is the presence of Jordan algebraic structures in matrix-harmonic functions.