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Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals
PrefaceGuide to the ReaderPrologue3IReal-Variable Theory7IIMore About Maximal Functions49IIIHardy Spaces87IVH[superscript 1] and BMO139VWeighted Inequalities193VIPseudo-Differential and SingularExpand
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Introduction to Fourier Analysis on Euclidean Spaces.
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 actionExpand
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Hp spaces of several variables
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Hardy spaces on homogeneous groups
The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to aExpand
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Singular Integrals and Di?erentiability Properties of Functions
  • E. Stein
  • Mathematics, Physics
  • 1 February 1971
A plurality of disks include solid laserable material and are in parallel spaced apart relation within a transparent tubular enclosure. Spaces between the disks constitute portions of a collant fluidExpand
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Hypoelliptic differential operators and nilpotent groups
2. Sufficient condi t ions for hypoe l l ip t i c i ty . . . . . . . . . . . . . . . . . . . . . 251 8. Graded a n d free Lie a lgebras . . . . . . . . . . . . . . . . . . . . . . . . . . 255 4. H aExpand
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Topics in Harmonic Analysis Related to the Littlewood-Paley Theory.
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,Expand
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Stock Price Distributions with Stochastic Volatility: An Analytic Approach
We study the stock price distributions that arise when prices follow a diffusion process with a stochastically varying volatility parameter. We use analytic techniques to derive an explicitExpand
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Some New Function Spaces and Their Applications to Harmonic Analysis
Abstract In this paper a family of spaces is introduced which seems well adapted for the study of a variety of questions related to harmonic analysis and its applications. These spaces are the “tentExpand
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