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On a uniqueness theorem for functions with a sparse spectrum. / Александров, Алексей Борисович.

In: Journal of Mathematical Sciences , Vol. 101, No. 3, 2000, p. 3049-3052.

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

Harvard

Александров, АБ 2000, 'On a uniqueness theorem for functions with a sparse spectrum', Journal of Mathematical Sciences , vol. 101, no. 3, pp. 3049-3052. https://doi.org/10.1007/BF02673729

APA

Александров, А. Б. (2000). On a uniqueness theorem for functions with a sparse spectrum. Journal of Mathematical Sciences , 101(3), 3049-3052. https://doi.org/10.1007/BF02673729

Vancouver

Александров АБ. On a uniqueness theorem for functions with a sparse spectrum. Journal of Mathematical Sciences . 2000;101(3):3049-3052. https://doi.org/10.1007/BF02673729

Author

Александров, Алексей Борисович. / On a uniqueness theorem for functions with a sparse spectrum. In: Journal of Mathematical Sciences . 2000 ; Vol. 101, No. 3. pp. 3049-3052.

BibTeX

@article{e62ba8e9a31e4414b74311b80707e53b,
title = "On a uniqueness theorem for functions with a sparse spectrum",
abstract = "We present an example of a set ∧ ∈ double-struck T sign satisfying the following two conditions: (1) there exists a nonzero positive singular measure on the unit circle double-struck T sign with spectrum in ∧; (2) if the spectrum of f ∈ L1 (double-struck T sign) is contained in ∧ and f vanishes on a set of positive measure, then f = 0.",
author = "Александров, {Алексей Борисович}",
note = "Funding Information: This investigation was supported in part by the Russian Foundation for Basic Research, grant No. 96-01-00693.",
year = "2000",
doi = "10.1007/BF02673729",
language = "English",
volume = "101",
pages = "3049--3052",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - On a uniqueness theorem for functions with a sparse spectrum

AU - Александров, Алексей Борисович

N1 - Funding Information: This investigation was supported in part by the Russian Foundation for Basic Research, grant No. 96-01-00693.

PY - 2000

Y1 - 2000

N2 - We present an example of a set ∧ ∈ double-struck T sign satisfying the following two conditions: (1) there exists a nonzero positive singular measure on the unit circle double-struck T sign with spectrum in ∧; (2) if the spectrum of f ∈ L1 (double-struck T sign) is contained in ∧ and f vanishes on a set of positive measure, then f = 0.

AB - We present an example of a set ∧ ∈ double-struck T sign satisfying the following two conditions: (1) there exists a nonzero positive singular measure on the unit circle double-struck T sign with spectrum in ∧; (2) if the spectrum of f ∈ L1 (double-struck T sign) is contained in ∧ and f vanishes on a set of positive measure, then f = 0.

UR - http://www.scopus.com/inward/record.url?scp=52849124801&partnerID=8YFLogxK

U2 - 10.1007/BF02673729

DO - 10.1007/BF02673729

M3 - Article

AN - SCOPUS:52849124801

VL - 101

SP - 3049

EP - 3052

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 87312205