Harmonic Analysis (PMS-43), Volume 43 : : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) /

Harmonic Analysis (PMS-43), Volume 43 : : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) / / Elias M. Stein.

This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, re...

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Superior document:Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
VerfasserIn:
Stein, Elias M.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1993
Year of Publication:2016
Language:English
Series:Princeton Mathematical Series ; 43
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Physical Description:1 online resource (712 p.) :; 18 line illus.
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spelling Stein, Elias M., author. aut http://id.loc.gov/vocabulary/relators/aut
Harmonic Analysis (PMS-43), Volume 43 : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) / Elias M. Stein.
Princeton, NJ : Princeton University Press, [2016]
©1993
1 online resource (712 p.) : 18 line illus.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Princeton Mathematical Series ; 43
Frontmatter -- Contents -- Preface -- Guide to the Reader -- Prologue -- I. Real-Variable Theory -- II. More about Maximal Functions -- III. Hardy Spaces -- IV. H1 and BMO -- V. Weighted Inequalities -- VI. Pseudo-Differential and Singular Integral Operators: Fourier Transform -- VII. Pseudo-Differential and Singular Integral Operators: Almost Orthogonality -- VIII. Oscillatory Integrals of the First Kind -- IX. Oscillatory Integrals of the Second Kind -- X. Maximal Operators: Some Examples -- XI. Maximal Averages and Oscillatory Integrals -- XII. Introduction to the Heisenberg Group -- XIII. More about the Heisenberg Group -- Bibliography -- Author Index -- Subject Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
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)
Harmonic analysis.
MATHEMATICS / Functional Analysis. bisacsh
Addition.
Analytic function.
Asymptote.
Asymptotic analysis.
Asymptotic expansion.
Asymptotic formula.
Automorphism.
Axiom.
Banach space.
Bessel function.
Big O notation.
Bilinear form.
Borel measure.
Boundary value problem.
Bounded function.
Bounded mean oscillation.
Bounded operator.
Boundedness.
Cancellation property.
Cauchy's integral theorem.
Cauchy-Riemann equations.
Characteristic polynomial.
Characterization (mathematics).
Commutative property.
Commutator.
Complex analysis.
Convolution.
Differential equation.
Differential operator.
Dimension (vector space).
Dimension.
Dirac delta function.
Dirichlet problem.
Elliptic operator.
Existential quantification.
Fatou's theorem.
Fourier analysis.
Fourier integral operator.
Fourier inversion theorem.
Fourier series.
Fourier transform.
Fubini's theorem.
Function (mathematics).
Fundamental solution.
Gaussian curvature.
Hardy space.
Harmonic function.
Heisenberg group.
Hilbert space.
Hilbert transform.
Holomorphic function.
Hölder's inequality.
Infimum and supremum.
Integral transform.
Interpolation theorem.
Lagrangian (field theory).
Laplace's equation.
Lebesgue measure.
Lie algebra.
Line segment.
Linear map.
Lipschitz continuity.
Locally integrable function.
Marcinkiewicz interpolation theorem.
Martingale (probability theory).
Mathematical induction.
Maximal function.
Meromorphic function.
Multiplication operator.
Nilpotent Lie algebra.
Norm (mathematics).
Number theory.
Operator theory.
Order of integration (calculus).
Orthogonality.
Oscillatory integral.
Poisson summation formula.
Projection (linear algebra).
Pseudo-differential operator.
Pseudoconvexity.
Rectangle.
Riesz transform.
Several complex variables.
Sign (mathematics).
Singular integral.
Sobolev space.
Special case.
Spectral theory.
Square (algebra).
Stochastic differential equation.
Subharmonic function.
Submanifold.
Summation.
Support (mathematics).
Theorem.
Translational symmetry.
Uniqueness theorem.
Variable (mathematics).
Vector field.
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 9780691032160
https://doi.org/10.1515/9781400883929
https://www.degruyter.com/isbn/9781400883929
Cover https://www.degruyter.com/document/cover/isbn/9781400883929/original
language English
format eBook
author Stein, Elias M.,
Stein, Elias M.,
spellingShingle Stein, Elias M.,
Stein, Elias M.,
Harmonic Analysis (PMS-43), Volume 43 : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) /
Princeton Mathematical Series ;
Frontmatter --
Contents --
Preface --
Guide to the Reader --
Prologue --
I. Real-Variable Theory --
II. More about Maximal Functions --
III. Hardy Spaces --
IV. H1 and BMO --
V. Weighted Inequalities --
VI. Pseudo-Differential and Singular Integral Operators: Fourier Transform --
VII. Pseudo-Differential and Singular Integral Operators: Almost Orthogonality --
VIII. Oscillatory Integrals of the First Kind --
IX. Oscillatory Integrals of the Second Kind --
X. Maximal Operators: Some Examples --
XI. Maximal Averages and Oscillatory Integrals --
XII. Introduction to the Heisenberg Group --
XIII. More about the Heisenberg Group --
Bibliography --
Author Index --
Subject Index
author_facet Stein, Elias M.,
Stein, Elias M.,
author_variant e m s em ems
e m s em ems
author_role VerfasserIn
VerfasserIn
author_sort Stein, Elias M.,
title Harmonic Analysis (PMS-43), Volume 43 : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) /
title_sub Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) /
title_full Harmonic Analysis (PMS-43), Volume 43 : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) / Elias M. Stein.
title_fullStr Harmonic Analysis (PMS-43), Volume 43 : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) / Elias M. Stein.
title_full_unstemmed Harmonic Analysis (PMS-43), Volume 43 : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) / Elias M. Stein.
title_auth Harmonic Analysis (PMS-43), Volume 43 : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) /
title_alt Frontmatter --
Contents --
Preface --
Guide to the Reader --
Prologue --
I. Real-Variable Theory --
II. More about Maximal Functions --
III. Hardy Spaces --
IV. H1 and BMO --
V. Weighted Inequalities --
VI. Pseudo-Differential and Singular Integral Operators: Fourier Transform --
VII. Pseudo-Differential and Singular Integral Operators: Almost Orthogonality --
VIII. Oscillatory Integrals of the First Kind --
IX. Oscillatory Integrals of the Second Kind --
X. Maximal Operators: Some Examples --
XI. Maximal Averages and Oscillatory Integrals --
XII. Introduction to the Heisenberg Group --
XIII. More about the Heisenberg Group --
Bibliography --
Author Index --
Subject Index
title_new Harmonic Analysis (PMS-43), Volume 43 :
title_sort harmonic analysis (pms-43), volume 43 : real-variable methods, orthogonality, and oscillatory integrals. (pms-43) /
series Princeton Mathematical Series ;
series2 Princeton Mathematical Series ;
publisher Princeton University Press,
publishDate 2016
physical 1 online resource (712 p.) : 18 line illus.
Issued also in print.
contents Frontmatter --
Contents --
Preface --
Guide to the Reader --
Prologue --
I. Real-Variable Theory --
II. More about Maximal Functions --
III. Hardy Spaces --
IV. H1 and BMO --
V. Weighted Inequalities --
VI. Pseudo-Differential and Singular Integral Operators: Fourier Transform --
VII. Pseudo-Differential and Singular Integral Operators: Almost Orthogonality --
VIII. Oscillatory Integrals of the First Kind --
IX. Oscillatory Integrals of the Second Kind --
X. Maximal Operators: Some Examples --
XI. Maximal Averages and Oscillatory Integrals --
XII. Introduction to the Heisenberg Group --
XIII. More about the Heisenberg Group --
Bibliography --
Author Index --
Subject Index
isbn 9781400883929
9783110501063
9783110442496
9780691032160
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA403
callnumber-sort QA 3403.3 S7 S74 41993EB
url https://doi.org/10.1515/9781400883929
https://www.degruyter.com/isbn/9781400883929
https://www.degruyter.com/document/cover/isbn/9781400883929/original
illustrated Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.8
dewey-sort 3515.8
dewey-raw 515.8
dewey-search 515.8
doi_str_mv 10.1515/9781400883929
oclc_num 979584623
work_keys_str_mv AT steineliasm harmonicanalysispms43volume43realvariablemethodsorthogonalityandoscillatoryintegralspms43
status_str n
ids_txt_mv (DE-B1597)474344
(OCoLC)979584623
carrierType_str_mv cr
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 Harmonic Analysis (PMS-43), Volume 43 : Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) /
container_title Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package
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