Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 /

Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / / Elias M. Stein.

This work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A re...

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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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Stein, Elias M.,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1970
Year of Publication:2016
Language:English
Series:Annals of Mathematics Studies ; 63
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spelling Stein, Elias M., author. aut http://id.loc.gov/vocabulary/relators/aut
Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / Elias M. Stein.
Princeton, NJ : Princeton University Press, [2016]
©1970
1 online resource (160 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Annals of Mathematics Studies ; 63
Frontmatter -- Preface -- Contents -- Introduction -- Chapter I: Lie Groups (A Review) -- Chapter II: Littlewood-Paley Theory for a Compact Lie Group -- Chapter III: General Symmetric Diffusion Semi-Groups -- Chapter IV: The General Littlewood-Paley Theory -- Chapter V: Further Illustrations -- References -- Appendix (1985)
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student.
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.
Lie groups.
Littlewood-Paley theory.
Semigroups.
MATHEMATICS / General. bisacsh
Addition.
Analytic function.
Axiom.
Boundary value problem.
Central limit theorem.
Change of variables.
Circle group.
Classification theorem.
Commutative property.
Compact group.
Complex analysis.
Convex set.
Coset.
Covering space.
Derivative.
Differentiable manifold.
Differential geometry.
Differential operator.
Dimension (vector space).
Dimension.
Direct sum.
E6 (mathematics).
E7 (mathematics).
E8 (mathematics).
Elementary proof.
Equation.
Equivalence class.
Existence theorem.
Existential quantification.
Fourier analysis.
Fourier series.
Fourier transform.
Function space.
General linear group.
Haar measure.
Harmonic function.
Hermite polynomials.
Hilbert transform.
Homogeneous space.
Homomorphism.
Ideal (ring theory).
Identity matrix.
Indecomposability.
Integral transform.
Invariant measure.
Invariant subspace.
Irreducibility (mathematics).
Irreducible representation.
Lebesgue measure.
Legendre polynomials.
Lie algebra.
Lie group.
Linear combination.
Linear map.
Local diffeomorphism.
Markov process.
Martingale (probability theory).
Matrix group.
Measurable function.
Measure (mathematics).
Multiple integral.
Normal subgroup.
One-dimensional space.
Open set.
Ordinary differential equation.
Orthogonality.
Orthonormality.
Parseval's theorem.
Partial differential equation.
Probability space.
Quadratic form.
Rank of a group.
Regular representation.
Riemannian manifold.
Riesz transform.
Schur orthogonality relations.
Scientific notation.
Semigroup.
Sequence.
Special case.
Stone-Weierstrass theorem.
Sturm-Liouville theory.
Subgroup.
Subset.
Summation.
Tensor algebra.
Tensor product.
Theorem.
Theory.
Topological group.
Topological space.
Torus.
Trigonometric polynomial.
Trivial representation.
Uniform convergence.
Unitary operator.
Unitary representation.
Vector field.
Vector space.
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496
print 9780691080673
https://doi.org/10.1515/9781400881871
https://www.degruyter.com/isbn/9781400881871
Cover https://www.degruyter.com/document/cover/isbn/9781400881871/original
language English
format eBook
author Stein, Elias M.,
Stein, Elias M.,
spellingShingle Stein, Elias M.,
Stein, Elias M.,
Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 /
Annals of Mathematics Studies ;
Frontmatter --
Preface --
Contents --
Introduction --
Chapter I: Lie Groups (A Review) --
Chapter II: Littlewood-Paley Theory for a Compact Lie Group --
Chapter III: General Symmetric Diffusion Semi-Groups --
Chapter IV: The General Littlewood-Paley Theory --
Chapter V: Further Illustrations --
References --
Appendix (1985)
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 Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 /
title_full Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / Elias M. Stein.
title_fullStr Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / Elias M. Stein.
title_full_unstemmed Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / Elias M. Stein.
title_auth Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 /
title_alt Frontmatter --
Preface --
Contents --
Introduction --
Chapter I: Lie Groups (A Review) --
Chapter II: Littlewood-Paley Theory for a Compact Lie Group --
Chapter III: General Symmetric Diffusion Semi-Groups --
Chapter IV: The General Littlewood-Paley Theory --
Chapter V: Further Illustrations --
References --
Appendix (1985)
title_new Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 /
title_sort topics in harmonic analysis related to the littlewood-paley theory. (am-63), volume 63 /
series Annals of Mathematics Studies ;
series2 Annals of Mathematics Studies ;
publisher Princeton University Press,
publishDate 2016
physical 1 online resource (160 p.)
Issued also in print.
contents Frontmatter --
Preface --
Contents --
Introduction --
Chapter I: Lie Groups (A Review) --
Chapter II: Littlewood-Paley Theory for a Compact Lie Group --
Chapter III: General Symmetric Diffusion Semi-Groups --
Chapter IV: The General Littlewood-Paley Theory --
Chapter V: Further Illustrations --
References --
Appendix (1985)
isbn 9781400881871
9783110494914
9783110442496
9780691080673
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA403
callnumber-sort QA 3403
url https://doi.org/10.1515/9781400881871
https://www.degruyter.com/isbn/9781400881871
https://www.degruyter.com/document/cover/isbn/9781400881871/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.2433
dewey-sort 3515.2433
dewey-raw 515.2433
dewey-search 515.2433
doi_str_mv 10.1515/9781400881871
oclc_num 979968795
work_keys_str_mv AT steineliasm topicsinharmonicanalysisrelatedtothelittlewoodpaleytheoryam63volume63
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ids_txt_mv (DE-B1597)468039
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999
is_hierarchy_title Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 /
container_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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