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
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2016]
©1993
Year of Publication:2016
Language:English
Series:Princeton Mathematical Series ; 43
Online Access:
Physical Description:1 online resource (712 p.) :; 18 line illus.
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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 Harmonic Analysis (PMS-43), Volume 43 :  |b Real-Variable Methods, Orthogonality, and Oscillatory Integrals. (PMS-43) /  |c Elias M. Stein. 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2016] 
264 4 |c ©1993 
300 |a 1 online resource (712 p.) :  |b 18 line illus. 
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 Princeton Mathematical Series ;  |v 43 
505 0 0 |t Frontmatter --   |t Contents --   |t Preface --   |t Guide to the Reader --   |t Prologue --   |t I. Real-Variable Theory --   |t II. More about Maximal Functions --   |t III. Hardy Spaces --   |t IV. H1 and BMO --   |t V. Weighted Inequalities --   |t VI. Pseudo-Differential and Singular Integral Operators: Fourier Transform --   |t VII. Pseudo-Differential and Singular Integral Operators: Almost Orthogonality --   |t VIII. Oscillatory Integrals of the First Kind --   |t IX. Oscillatory Integrals of the Second Kind --   |t X. Maximal Operators: Some Examples --   |t XI. Maximal Averages and Oscillatory Integrals --   |t XII. Introduction to the Heisenberg Group --   |t XIII. More about the Heisenberg Group --   |t Bibliography --   |t Author Index --   |t Subject Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
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 7 |a MATHEMATICS / Functional Analysis.  |2 bisacsh 
653 |a Addition. 
653 |a Analytic function. 
653 |a Asymptote. 
653 |a Asymptotic analysis. 
653 |a Asymptotic expansion. 
653 |a Asymptotic formula. 
653 |a Automorphism. 
653 |a Axiom. 
653 |a Banach space. 
653 |a Bessel function. 
653 |a Big O notation. 
653 |a Bilinear form. 
653 |a Borel measure. 
653 |a Boundary value problem. 
653 |a Bounded function. 
653 |a Bounded mean oscillation. 
653 |a Bounded operator. 
653 |a Boundedness. 
653 |a Cancellation property. 
653 |a Cauchy's integral theorem. 
653 |a Cauchy-Riemann equations. 
653 |a Characteristic polynomial. 
653 |a Characterization (mathematics). 
653 |a Commutative property. 
653 |a Commutator. 
653 |a Complex analysis. 
653 |a Convolution. 
653 |a Differential equation. 
653 |a Differential operator. 
653 |a Dimension (vector space). 
653 |a Dimension. 
653 |a Dirac delta function. 
653 |a Dirichlet problem. 
653 |a Elliptic operator. 
653 |a Existential quantification. 
653 |a Fatou's theorem. 
653 |a Fourier analysis. 
653 |a Fourier integral operator. 
653 |a Fourier inversion theorem. 
653 |a Fourier series. 
653 |a Fourier transform. 
653 |a Fubini's theorem. 
653 |a Function (mathematics). 
653 |a Fundamental solution. 
653 |a Gaussian curvature. 
653 |a Hardy space. 
653 |a Harmonic analysis. 
653 |a Harmonic function. 
653 |a Heisenberg group. 
653 |a Hilbert space. 
653 |a Hilbert transform. 
653 |a Holomorphic function. 
653 |a Hölder's inequality. 
653 |a Infimum and supremum. 
653 |a Integral transform. 
653 |a Interpolation theorem. 
653 |a Lagrangian (field theory). 
653 |a Laplace's equation. 
653 |a Lebesgue measure. 
653 |a Lie algebra. 
653 |a Line segment. 
653 |a Linear map. 
653 |a Lipschitz continuity. 
653 |a Locally integrable function. 
653 |a Marcinkiewicz interpolation theorem. 
653 |a Martingale (probability theory). 
653 |a Mathematical induction. 
653 |a Maximal function. 
653 |a Meromorphic function. 
653 |a Multiplication operator. 
653 |a Nilpotent Lie algebra. 
653 |a Norm (mathematics). 
653 |a Number theory. 
653 |a Operator theory. 
653 |a Order of integration (calculus). 
653 |a Orthogonality. 
653 |a Oscillatory integral. 
653 |a Poisson summation formula. 
653 |a Projection (linear algebra). 
653 |a Pseudo-differential operator. 
653 |a Pseudoconvexity. 
653 |a Rectangle. 
653 |a Riesz transform. 
653 |a Several complex variables. 
653 |a Sign (mathematics). 
653 |a Singular integral. 
653 |a Sobolev space. 
653 |a Special case. 
653 |a Spectral theory. 
653 |a Square (algebra). 
653 |a Stochastic differential equation. 
653 |a Subharmonic function. 
653 |a Submanifold. 
653 |a Summation. 
653 |a Support (mathematics). 
653 |a Theorem. 
653 |a Translational symmetry. 
653 |a Uniqueness theorem. 
653 |a Variable (mathematics). 
653 |a Vector field. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton Mathematical Series eBook Package  |z 9783110501063  |o ZDB-23-PMS 
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 9780691032160 
856 4 0 |u https://doi.org/10.1515/9781400883929 
856 4 0 |u https://www.degruyter.com/isbn/9781400883929 
856 4 2 |3 Cover  |u https://www.degruyter.com/document/cover/isbn/9781400883929/original 
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