ON ALGEBRAS OF HAUSDORFF OPERATORS ON THE REAL LINE

E. Liflyand; A. Mirotin

doi:10.1007/s10958-023-06275-7

ON ALGEBRAS OF HAUSDORFF OPERATORS ON THE REAL LINE

E. Liflyand
, A. Mirotin

Department of Mathematics

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

3 Scopus citations

Abstract

The aim of this work is to derive a symbol calculus on L²(R) for one-dimensional Hausdorff operators in apparently the most general form.

Original language	English
Pages (from-to)	109-114
Number of pages	6
Journal	Journal of Mathematical Sciences (United States)
Volume	271
Issue number	2
DOIs	https://doi.org/10.1007/s10958-023-06275-7
State	Published - Apr 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Funding

The authors thank the anonymous referees for their very useful comments and suggestions that improve the presentation.

Keywords

Commutative Banach algebra
Fourier transform
Hausdorff operator
Holomorphic functions
Spectrum
Symbol calculus

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10.1007/s10958-023-06275-7

Cite this

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keywords = "Commutative Banach algebra, Fourier transform, Hausdorff operator, Holomorphic functions, Spectrum, Symbol calculus",

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KW - Commutative Banach algebra

KW - Fourier transform

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KW - Holomorphic functions

KW - Spectrum

KW - Symbol calculus

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ON ALGEBRAS OF HAUSDORFF OPERATORS ON THE REAL LINE

Abstract

Bibliographical note

Funding

Keywords

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