Distributions and Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 0387848940
Total Pages : 464 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Distributions and Operators by : Gerd Grubb

Download or read book Distributions and Operators written by Gerd Grubb and published by Springer Science & Business Media. This book was released on 2008-10-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.

The Analysis of Linear Partial Differential Operators I

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Publisher : Springer
ISBN 13 : 9783540523437
Total Pages : 462 pages
Book Rating : 4.5/5 (234 download)

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Book Synopsis The Analysis of Linear Partial Differential Operators I by : Lars Hörmander

Download or read book The Analysis of Linear Partial Differential Operators I written by Lars Hörmander and published by Springer. This book was released on 1990-08-10 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main change in this edition is the inclusion of exercises with answers and hints. This is meant to emphasize that this volume has been written as a general course in modern analysis on a graduate student level and not only as the beginning of a specialized course in partial differen tial equations. In particular, it could also serve as an introduction to harmonic analysis. Exercises are given primarily to the sections of gen eral interest; there are none to the last two chapters. Most of the exercises are just routine problems meant to give some familiarity with standard use of the tools introduced in the text. Others are extensions of the theory presented there. As a rule rather complete though brief solutions are then given in the answers and hints. To a large extent the exercises have been taken over from courses or examinations given by Anders Melin or myself at the University of Lund. I am grateful to Anders Melin for letting me use the problems originating from him and for numerous valuable comments on this collection. As in the revised printing of Volume II, a number of minor flaws have also been corrected in this edition. Many of these have been called to my attention by the Russian translators of the first edition, and I wish to thank them for our excellent collaboration.

Mathematical Methods in Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461200490
Total Pages : 469 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Methods in Physics by : Philippe Blanchard

Download or read book Mathematical Methods in Physics written by Philippe Blanchard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.

Eigenvalue Distribution of Compact Operators

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Publisher : Birkhäuser
ISBN 13 : 3034862784
Total Pages : 256 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Eigenvalue Distribution of Compact Operators by : H. König

Download or read book Eigenvalue Distribution of Compact Operators written by H. König and published by Birkhäuser. This book was released on 2013-11-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction To Pseudo-differential Operators, An (3rd Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814583103
Total Pages : 195 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Introduction To Pseudo-differential Operators, An (3rd Edition) by : Man-wah Wong

Download or read book Introduction To Pseudo-differential Operators, An (3rd Edition) written by Man-wah Wong and published by World Scientific Publishing Company. This book was released on 2014-03-11 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition. New chapters notwithstanding, the elementary and detailed style of earlier editions is maintained in order to appeal to the largest possible group of readers. The focus of this book is on the global theory of elliptic pseudo-differential operators on Lp(Rn).The main prerequisite for a complete understanding of the book is a basic course in functional analysis up to the level of compact operators. It is an ideal introduction for graduate students in mathematics and mathematicians who aspire to do research in pseudo-differential operators and related topics.

Distributions

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646752
Total Pages : 455 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Distributions by : J.J. Duistermaat

Download or read book Distributions written by J.J. Duistermaat and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an application-oriented introduction to the theory of distributions, a powerful tool used in mathematical analysis. The treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis. The book is motivated by many exercises, hints, and solutions that guide the reader along a path requiring only a minimal mathematical background.

Distributions, Partial Differential Equations, and Harmonic Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461482089
Total Pages : 475 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Distributions, Partial Differential Equations, and Harmonic Analysis by : Dorina Mitrea

Download or read book Distributions, Partial Differential Equations, and Harmonic Analysis written by Dorina Mitrea and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e and Schrodinger operators.​

A Guide to Distribution Theory and Fourier Transforms

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Publisher : World Scientific
ISBN 13 : 9789812384300
Total Pages : 238 pages
Book Rating : 4.3/5 (843 download)

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Book Synopsis A Guide to Distribution Theory and Fourier Transforms by : Robert S. Strichartz

Download or read book A Guide to Distribution Theory and Fourier Transforms written by Robert S. Strichartz and published by World Scientific. This book was released on 2003 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals. Background mathematical prerequisites have been kept to a minimum, with only a knowledge of multidimensional calculus and basic complex variables needed to fully understand the concepts in the book.A Guide to Distribution Theory and Fourier Transforms can serve as a textbook for parts of a course on Applied Analysis or Methods of Mathematical Physics, and in fact it is used that way at Cornell.

Fundamental Solutions for Differential Operators and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9780817638696
Total Pages : 448 pages
Book Rating : 4.6/5 (386 download)

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Book Synopsis Fundamental Solutions for Differential Operators and Applications by : Prem Kythe

Download or read book Fundamental Solutions for Differential Operators and Applications written by Prem Kythe and published by Springer Science & Business Media. This book was released on 1996-07-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and systematic development of an aspect of analysis which deals with the theory of fundamental solutions for differential operators, and their applications to boundary value problems of mathematical physics, applied mathematics, and engineering, with the related computational aspects.

Elementary Introduction to the Theory of Pseudodifferential Operators

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Publisher : Routledge
ISBN 13 : 1351452932
Total Pages : 120 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Elementary Introduction to the Theory of Pseudodifferential Operators by : Xavier Saint Raymond

Download or read book Elementary Introduction to the Theory of Pseudodifferential Operators written by Xavier Saint Raymond and published by Routledge. This book was released on 2018-02-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics instructors.

The Analysis of Linear Partial Differential Operators IV

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Publisher : Springer Science & Business Media
ISBN 13 : 364200136X
Total Pages : 363 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis The Analysis of Linear Partial Differential Operators IV by : Lars Hörmander

Download or read book The Analysis of Linear Partial Differential Operators IV written by Lars Hörmander and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987 Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize 2006

Spectral Theory and Differential Operators

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Publisher : Oxford University Press
ISBN 13 : 0198812051
Total Pages : 610 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Spectral Theory and Differential Operators by : David Eric Edmunds

Download or read book Spectral Theory and Differential Operators written by David Eric Edmunds and published by Oxford University Press. This book was released on 2018 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators".The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.

Pseudodifferential and Singular Integral Operators

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Publisher : Walter de Gruyter
ISBN 13 : 3110250314
Total Pages : 233 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Pseudodifferential and Singular Integral Operators by : Helmut Abels

Download or read book Pseudodifferential and Singular Integral Operators written by Helmut Abels and published by Walter de Gruyter. This book was released on 2011-12-23 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations. In the first chapters, the necessary material on Fourier transformation and distribution theory is presented. Subsequently the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space is developed. In order to present the deep results on regularity questions for partial differential equations, an introduction to the theory of singular integral operators is given - which is of interest for its own. Moreover, to get a wide range of applications, one chapter is devoted to the modern theory of Besov and Bessel potential spaces. In order to demonstrate some fundamental approaches and the power of the theory, several applications to wellposedness and regularity question for elliptic and parabolic equations are presented throughout the book. The basic notation of functional analysis needed in the book is introduced and summarized in the appendix. The text is comprehensible for students of mathematics and physics with a basic education in analysis.

Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3034601980
Total Pages : 294 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations by : Bert-Wolfgang Schulze

Download or read book Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations written by Bert-Wolfgang Schulze and published by Springer Science & Business Media. This book was released on 2010-03-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consists of the expository paper based on the 6-hour minicourse given by Professor Bert-Wolfgang Schulze, and sixteen papers based on lectures given at the workshop and on invitations.

Linear Operators in Hilbert Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 1461260272
Total Pages : 413 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Linear Operators in Hilbert Spaces by : Joachim Weidmann

Download or read book Linear Operators in Hilbert Spaces written by Joachim Weidmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). In addition a great number of minor errors has been corrected. Frankfurt, January 1980 J. Weidmann vii Preface to the German edition The purpose of this book is to give an introduction to the theory of linear operators on Hilbert spaces and then to proceed to the interesting applica tions of differential operators to mathematical physics. Besides the usual introductory courses common to both mathematicians and physicists, only a fundamental knowledge of complex analysis and of ordinary differential equations is assumed. The most important results of Lebesgue integration theory, to the extent that they are used in this book, are compiled with complete proofs in Appendix A. I hope therefore that students from the fourth semester on will be able to read this book without major difficulty. However, it might also be of some interest and use to the teaching and research mathematician or physicist, since among other things it makes easily accessible several new results of the spectral theory of differential operators.

Linear Partial Differential Operators

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Publisher : Hassell Street Press
ISBN 13 : 9781014198518
Total Pages : 304 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Linear Partial Differential Operators by : Lars Hörmander

Download or read book Linear Partial Differential Operators written by Lars Hörmander and published by Hassell Street Press. This book was released on 2021-09-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Introduction to the Theory of Distributions

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Publisher : Cambridge University Press
ISBN 13 : 9780521649711
Total Pages : 192 pages
Book Rating : 4.6/5 (497 download)

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Book Synopsis Introduction to the Theory of Distributions by : F. G. Friedlander

Download or read book Introduction to the Theory of Distributions written by F. G. Friedlander and published by Cambridge University Press. This book was released on 1998 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of a classic graduate text on the theory of distributions.