Locally convex spaces and harmonic analysis : an introduction with 93 problems / Philippe G. Ciarlet.

Author
Ciarlet, Philippe G. [Browse]
Format
Book
Language
English
Published/​Created
Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2021]
Description
1 online resource (viii, 195 pages) : illustrations

Details

Subject(s)
Publisher
Series
Other titles in applied mathematics. [More in this series]
Restrictions note
Restricted to subscribers or individual electronic text purchasers.
Summary note
This self-contained textbook covers the fundamentals of two basic topics of linear functional analysis: locally convex spaces and harmonic analysis. Readers will find detailed introductions to topological vector spaces, distribution theory, weak topologies, the Fourier transform, the Hilbert transform, and Calderón-Zygmund singular integrals. Locally Convex Spaces and Harmonic Analysis: An Introduction is an ideal introduction to more advanced texts; complements Ciarlet's Linear and Nonlinear Functional Analysis with Applications (SIAM), in which these two topics were not treated; and includes pedagogical features such as detailed proofs and 93 problems that make the book ideal for a one-semester first-year graduate course or for self-study. The book is intended for advanced undergraduates and first-year graduate students and researchers. It is appropriate for courses on functional analysis, distribution theory, Fourier transform, and harmonic analysis.
Bibliographic references
Includes bibliographical references and index.
System details
  • Mode of access: World Wide Web.
  • System requirements: Adobe Acrobat Reader.
Source of description
Description based on title page of print version.
Contents
  • Locally convex spaces
  • Harmonic analysis.
Other format(s)
Also available in print version.
ISBN
1-61197-665-0
Publisher no.
OT175
LCCN
2021011357
OCLC
1248601108
Doi
  • 10.1137/1.9781611976656
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