Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 /

Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 / / Guido Weiss, Elias M. Stein.

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 g...

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Superior document:Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
VerfasserIn:
Stein, Elias M.,
Weiss, Guido,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1972
Year of Publication:2016
Language:English
Series:Princeton Mathematical Series ; 32
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Physical Description:1 online resource (312 p.)
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ctrlnum (DE-B1597)474359
(OCoLC)950698790
collection bib_alma
record_format marc
spelling Stein, Elias M., author. aut http://id.loc.gov/vocabulary/relators/aut
Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 / Guido Weiss, Elias M. Stein.
Princeton, NJ : Princeton University Press, [2016]
©1972
1 online resource (312 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Princeton Mathematical Series ; 32
Frontmatter -- Preface -- Contents -- I. The Fourier Transform -- II. Boundary Values of Harmonic Functions -- III. The Theory of Hp Spaces on Tubes -- 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
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Fourier analysis.
Harmonic analysis.
Harmonic functions.
MATHEMATICS / Functional Analysis. bisacsh
Analytic continuation.
Analytic function.
Banach algebra.
Banach space.
Bessel function.
Borel measure.
Boundary value problem.
Bounded operator.
Bounded set (topological vector space).
Cartesian coordinate system.
Cauchy-Riemann equations.
Change of variables.
Characteristic function (probability theory).
Characterization (mathematics).
Complex plane.
Conformal map.
Conjugate transpose.
Continuous function (set theory).
Continuous function.
Convolution.
Differentiation of integrals.
Dimensional analysis.
Dirichlet problem.
Disk (mathematics).
Distribution (mathematics).
Equation.
Euclidean space.
Existential quantification.
Fourier inversion theorem.
Fourier series.
Fourier transform.
Fubini's theorem.
Function (mathematics).
Function space.
Green's theorem.
Hardy's inequality.
Hardy-Littlewood maximal function.
Harmonic function.
Hermitian matrix.
Hilbert transform.
Holomorphic function.
Homogeneous function.
Inequality (mathematics).
Infimum and supremum.
Interpolation theorem.
Interval (mathematics).
Lebesgue integration.
Lebesgue measure.
Line-line intersection.
Linear interpolation.
Linear map.
Linear space (geometry).
Liouville's theorem (Hamiltonian).
Lipschitz continuity.
Locally integrable function.
Lp space.
Majorization.
Marcinkiewicz interpolation theorem.
Mean value theorem.
Measure (mathematics).
Mellin transform.
Monotonic function.
Multiplication operator.
Norm (mathematics).
Operator norm.
Orthogonal group.
Paley-Wiener theorem.
Partial derivative.
Partial differential equation.
Plancherel theorem.
Pointwise convergence.
Poisson kernel.
Poisson summation formula.
Polynomial.
Principal value.
Quadratic form.
Radial function.
Radon-Nikodym theorem.
Representation theorem.
Riesz transform.
Scientific notation.
Series expansion.
Singular integral.
Special case.
Subharmonic function.
Support (mathematics).
Theorem.
Topology.
Total variation.
Trigonometric polynomial.
Trigonometric series.
Two-dimensional space.
Union (set theory).
Unit disk.
Unit sphere.
Upper half-plane.
Variable (mathematics).
Vector space.
Weiss, Guido, author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package 9783110501063 ZDB-23-PMS
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496
print 9780691080789
https://doi.org/10.1515/9781400883899
https://www.degruyter.com/isbn/9781400883899
Cover https://www.degruyter.com/document/cover/isbn/9781400883899/original
language English
format eBook
author Stein, Elias M.,
Stein, Elias M.,
Weiss, Guido,
spellingShingle Stein, Elias M.,
Stein, Elias M.,
Weiss, Guido,
Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 /
Princeton Mathematical Series ;
Frontmatter --
Preface --
Contents --
I. The Fourier Transform --
II. Boundary Values of Harmonic Functions --
III. The Theory of Hp Spaces on Tubes --
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
author_facet Stein, Elias M.,
Stein, Elias M.,
Weiss, Guido,
Weiss, Guido,
Weiss, Guido,
author_variant e m s em ems
e m s em ems
g w gw
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Weiss, Guido,
Weiss, Guido,
author2_variant g w gw
author2_role VerfasserIn
VerfasserIn
author_sort Stein, Elias M.,
title Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 /
title_full Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 / Guido Weiss, Elias M. Stein.
title_fullStr Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 / Guido Weiss, Elias M. Stein.
title_full_unstemmed Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 / Guido Weiss, Elias M. Stein.
title_auth Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 /
title_alt Frontmatter --
Preface --
Contents --
I. The Fourier Transform --
II. Boundary Values of Harmonic Functions --
III. The Theory of Hp Spaces on Tubes --
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
title_new Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 /
title_sort introduction to fourier analysis on euclidean spaces (pms-32), volume 32 /
series Princeton Mathematical Series ;
series2 Princeton Mathematical Series ;
publisher Princeton University Press,
publishDate 2016
physical 1 online resource (312 p.)
Issued also in print.
contents Frontmatter --
Preface --
Contents --
I. The Fourier Transform --
II. Boundary Values of Harmonic Functions --
III. The Theory of Hp Spaces on Tubes --
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
isbn 9781400883899
9783110501063
9783110442496
9780691080789
url https://doi.org/10.1515/9781400883899
https://www.degruyter.com/isbn/9781400883899
https://www.degruyter.com/document/cover/isbn/9781400883899/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515
dewey-sort 3515
dewey-raw 515
dewey-search 515
doi_str_mv 10.1515/9781400883899
oclc_num 950698790
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AT weissguido introductiontofourieranalysisoneuclideanspacespms32volume32
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hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
is_hierarchy_title Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 /
container_title Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
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