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The Resource Distributions, partial differential equations, and harmonic analysis, Dorina Mitrea, (electronic book)

Distributions, partial differential equations, and harmonic analysis, Dorina Mitrea, (electronic book)

Label
Distributions, partial differential equations, and harmonic analysis
Title
Distributions, partial differential equations, and harmonic analysis
Statement of responsibility
Dorina Mitrea
Creator
Author
Subject
Language
eng
Summary
The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1965-
http://library.link/vocab/creatorName
Mitrea, Dorina
Dewey number
515/.782
Index
index present
LC call number
QA324
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Theory of distributions (Functional analysis)
  • Differential equations, Partial
  • Harmonic analysis
Label
Distributions, partial differential equations, and harmonic analysis, Dorina Mitrea, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
Summary of Topological and Functional Analysis Results -- Weak Derivatives -- The Space D0() of Distributions -- The Fourier Transform -- The Space of Tempered Distributions -- Fundamental Solution -- The Laplace Operator -- The Heat Operator -- The Wave Operator -- The Lame Operator -- Fundamental Solutions for Other Operators -- Hypoelliptic operators -- Sobolev spaces
Control code
SPR859773310
Dimensions
unknown
Extent
1 online resource (xxi, 460 pages).
File format
unknown
Form of item
online
Isbn
9781461482079
Level of compression
unknown
Other control number
10.1007/978-1-4614-8208-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
Distributions, partial differential equations, and harmonic analysis, Dorina Mitrea, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Color
multicolored
Contents
Summary of Topological and Functional Analysis Results -- Weak Derivatives -- The Space D0() of Distributions -- The Fourier Transform -- The Space of Tempered Distributions -- Fundamental Solution -- The Laplace Operator -- The Heat Operator -- The Wave Operator -- The Lame Operator -- Fundamental Solutions for Other Operators -- Hypoelliptic operators -- Sobolev spaces
Control code
SPR859773310
Dimensions
unknown
Extent
1 online resource (xxi, 460 pages).
File format
unknown
Form of item
online
Isbn
9781461482079
Level of compression
unknown
Other control number
10.1007/978-1-4614-8208-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

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