On a Uniqueness Theorem of E. B. Vul

Sasha Sodin

doi:10.1007/s00365-020-09505-2

On a Uniqueness Theorem of E. B. Vul

Sasha Sodin^*

^*Corresponding author for this work

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

Abstract

We recall a uniqueness theorem of E. B. Vul pertaining to a version of the cosine transform originating in spectral theory. Then we point out an application to the Bernstein approximation problem with non-symmetric weights: a theorem of Volberg is proved by elementary means.

Original language	English
Pages (from-to)	235-248
Number of pages	14
Journal	Constructive Approximation
Volume	53
Issue number	2
DOIs	https://doi.org/10.1007/s00365-020-09505-2
State	Published - Apr 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).

Keywords

Bernstein approximation problem
Completeness of polynomials
Cosine transform
Non-symmetric weights
Quasianalytic classes

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10.1007/s00365-020-09505-2

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title = "On a Uniqueness Theorem of E. B. Vul",

abstract = "We recall a uniqueness theorem of E. B. Vul pertaining to a version of the cosine transform originating in spectral theory. Then we point out an application to the Bernstein approximation problem with non-symmetric weights: a theorem of Volberg is proved by elementary means.",

keywords = "Bernstein approximation problem, Completeness of polynomials, Cosine transform, Non-symmetric weights, Quasianalytic classes",

author = "Sasha Sodin",

note = "Publisher Copyright: {\textcopyright} 2020, The Author(s).",

year = "2021",

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doi = "10.1007/s00365-020-09505-2",

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AB - We recall a uniqueness theorem of E. B. Vul pertaining to a version of the cosine transform originating in spectral theory. Then we point out an application to the Bernstein approximation problem with non-symmetric weights: a theorem of Volberg is proved by elementary means.

KW - Bernstein approximation problem

KW - Completeness of polynomials

KW - Cosine transform

KW - Non-symmetric weights

KW - Quasianalytic classes

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On a Uniqueness Theorem of E. B. Vul

Abstract

Bibliographical note

Keywords

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