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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 Singular… Expand
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 action… Expand
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 a… Expand
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 fluid… Expand
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 a… Expand
Topics in Harmonic Analysis Related to the Littlewood-Paley Theory.
- E. Stein
- 21 February 1970
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
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 explicit… Expand
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 “tent… Expand
Estimates for the complex and analysis on the heisenberg group