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The Resource Distributions, partial differential equations, and harmonic analysis, Dorina Mitrea

Distributions, partial differential equations, and harmonic analysis, Dorina Mitrea

Creator
Author
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
Language
eng
Work
Publication
Edition
Second edition.
Extent
1 online resource (xxiii, 600 pages)
Isbn
9783030032951
Instance
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
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (xxiii, 600 pages)
File format
unknown
Form of item
online
Isbn
9783030032951
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-03296-8
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1081313889
  • (OCoLC)1081313889
Label
Distributions, partial differential equations, and harmonic analysis, Dorina Mitrea
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
Second edition.
Extent
1 online resource (xxiii, 600 pages)
File format
unknown
Form of item
online
Isbn
9783030032951
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-030-03296-8
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1081313889
  • (OCoLC)1081313889

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