COMPLEX AND REAL HAUSDORFF OPERATORS

E. Liflyand

COMPLEX AND REAL HAUSDORFF OPERATORS

E. Liflyand

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Hausdorff operators (Hausdorff summability methods) appeared long ago aiming to solve certain classical problems in analysis. Modern theory of Hausdorff operators started with the work of Siskakis in complex analysis setting and with the work of Georgakis and Liflyand-M´oricz in the Fourier transform setting. While Hausdorff operators for power series are still studied mostly in dimension one, the center of attraction of interesting problems for the Hausdorff operators of Fourier integrals lies in the multi-variate setting. One of the most general definitions of the Hausdorff operator reads as

Original language	American English
Journal	CRM
State	Published - 2011

Bibliographical note

CRM, Preprint 1046, 2011, 45 p.

Cite this

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title = "COMPLEX AND REAL HAUSDORFF OPERATORS",

abstract = "Hausdorff operators (Hausdorff summability methods) appeared long ago aiming to solve certain classical problems in analysis. Modern theory of Hausdorff operators started with the work of Siskakis in complex analysis setting and with the work of Georgakis and Liflyand-M´oricz in the Fourier transform setting. While Hausdorff operators for power series are still studied mostly in dimension one, the center of attraction of interesting problems for the Hausdorff operators of Fourier integrals lies in the multi-variate setting. One of the most general definitions of the Hausdorff operator reads as",

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AB - Hausdorff operators (Hausdorff summability methods) appeared long ago aiming to solve certain classical problems in analysis. Modern theory of Hausdorff operators started with the work of Siskakis in complex analysis setting and with the work of Georgakis and Liflyand-M´oricz in the Fourier transform setting. While Hausdorff operators for power series are still studied mostly in dimension one, the center of attraction of interesting problems for the Hausdorff operators of Fourier integrals lies in the multi-variate setting. One of the most general definitions of the Hausdorff operator reads as

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JF - CRM

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COMPLEX AND REAL HAUSDORFF OPERATORS

Abstract

Bibliographical note

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