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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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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Physical Description:1 online resource (160 p.)
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100 1 |a Stein, Elias M.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 /  |c Elias M. Stein. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1970 
300 |a 1 online resource (160 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Annals of Mathematics Studies ;  |v 63 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t Introduction --   |t Chapter I: Lie Groups (A Review) --   |t Chapter II: Littlewood-Paley Theory for a Compact Lie Group --   |t Chapter III: General Symmetric Diffusion Semi-Groups --   |t Chapter IV: The General Littlewood-Paley Theory --   |t Chapter V: Further Illustrations --   |t References --   |t Appendix (1985) 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Harmonic analysis. 
650 0 |a Lie groups. 
650 0 |a Littlewood-Paley theory. 
650 0 |a Semigroups. 
650 7 |a MATHEMATICS / General.  |2 bisacsh 
653 |a Addition. 
653 |a Analytic function. 
653 |a Axiom. 
653 |a Boundary value problem. 
653 |a Central limit theorem. 
653 |a Change of variables. 
653 |a Circle group. 
653 |a Classification theorem. 
653 |a Commutative property. 
653 |a Compact group. 
653 |a Complex analysis. 
653 |a Convex set. 
653 |a Coset. 
653 |a Covering space. 
653 |a Derivative. 
653 |a Differentiable manifold. 
653 |a Differential geometry. 
653 |a Differential operator. 
653 |a Dimension (vector space). 
653 |a Dimension. 
653 |a Direct sum. 
653 |a E6 (mathematics). 
653 |a E7 (mathematics). 
653 |a E8 (mathematics). 
653 |a Elementary proof. 
653 |a Equation. 
653 |a Equivalence class. 
653 |a Existence theorem. 
653 |a Existential quantification. 
653 |a Fourier analysis. 
653 |a Fourier series. 
653 |a Fourier transform. 
653 |a Function space. 
653 |a General linear group. 
653 |a Haar measure. 
653 |a Harmonic analysis. 
653 |a Harmonic function. 
653 |a Hermite polynomials. 
653 |a Hilbert transform. 
653 |a Homogeneous space. 
653 |a Homomorphism. 
653 |a Ideal (ring theory). 
653 |a Identity matrix. 
653 |a Indecomposability. 
653 |a Integral transform. 
653 |a Invariant measure. 
653 |a Invariant subspace. 
653 |a Irreducibility (mathematics). 
653 |a Irreducible representation. 
653 |a Lebesgue measure. 
653 |a Legendre polynomials. 
653 |a Lie algebra. 
653 |a Lie group. 
653 |a Linear combination. 
653 |a Linear map. 
653 |a Local diffeomorphism. 
653 |a Markov process. 
653 |a Martingale (probability theory). 
653 |a Matrix group. 
653 |a Measurable function. 
653 |a Measure (mathematics). 
653 |a Multiple integral. 
653 |a Normal subgroup. 
653 |a One-dimensional space. 
653 |a Open set. 
653 |a Ordinary differential equation. 
653 |a Orthogonality. 
653 |a Orthonormality. 
653 |a Parseval's theorem. 
653 |a Partial differential equation. 
653 |a Probability space. 
653 |a Quadratic form. 
653 |a Rank of a group. 
653 |a Regular representation. 
653 |a Riemannian manifold. 
653 |a Riesz transform. 
653 |a Schur orthogonality relations. 
653 |a Scientific notation. 
653 |a Semigroup. 
653 |a Sequence. 
653 |a Special case. 
653 |a Stone-Weierstrass theorem. 
653 |a Sturm-Liouville theory. 
653 |a Subgroup. 
653 |a Subset. 
653 |a Summation. 
653 |a Tensor algebra. 
653 |a Tensor product. 
653 |a Theorem. 
653 |a Theory. 
653 |a Topological group. 
653 |a Topological space. 
653 |a Torus. 
653 |a Trigonometric polynomial. 
653 |a Trivial representation. 
653 |a Uniform convergence. 
653 |a Unitary operator. 
653 |a Unitary representation. 
653 |a Vector field. 
653 |a Vector space. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Annals of Mathematics eBook-Package 1940-2020  |z 9783110494914  |o ZDB-23-PMB 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
776 0 |c print  |z 9780691080673 
856 4 0 |u https://doi.org/10.1515/9781400881871 
856 4 0 |u https://www.degruyter.com/isbn/9781400881871 
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