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Introduction to Fourier Analysis on Euclidean Spaces (PMS-32).

Author: Elias M Stein
Publisher: Princeton University Press, 2016.
Series: Princeton mathematical series, 32.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(DLC) 73106394
(OCoLC)213295
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Elias M Stein
ISBN: 140088389X 9781400883899
OCLC Number: 950698790
Language Note: In English.
Description: 1 online resource.
Contents: Frontmatter --
Preface --
Contents --
I. The Fourier Transform --
II. Boundary Values of Harmonic Functions --
III. The Theory of H --
IV. Symmetry Properties o f the Fourier Transform --
V. Interpolation of Operators --
VI. Singular Integrals and Systems of Conjugate Harmonic Functions --
VII. Multiple Fourier Series --
Bibliography --
Index
Series Title: Princeton mathematical series, 32.
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Abstract:

The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.

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