Known and new results on absolute convergence of Fourier integrals

E. Liflyand; Roald M. Trigub

Known and new results on absolute convergence of Fourier integrals

E. Liflyand, Roald M. Trigub

Department of Mathematics

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

Original language	American English
Journal	Centre de Recerca Matemàtica
Volume	859
State	Published - 2009

Bibliographical note

New sufficient conditions for representation of a function via the absolutely convergent Fourier integral are obtained in the paper. In the main result, Theorem 1. 1, this is controlled by the behavior near infinity of both the function and its derivative. This result is extended to any dimension d >= 2.

Cite this

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title = "Known and new results on absolute convergence of Fourier integrals",

author = "E. Liflyand and Trigub, {Roald M.}",

note = "New sufficient conditions for representation of a function via the absolutely convergent Fourier integral are obtained in the paper. In the main result, Theorem 1. 1, this is controlled by the behavior near infinity of both the function and its derivative. This result is extended to any dimension d >= 2.",

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T1 - Known and new results on absolute convergence of Fourier integrals

AU - Liflyand, E.

AU - Trigub, Roald M.

N1 - New sufficient conditions for representation of a function via the absolutely convergent Fourier integral are obtained in the paper. In the main result, Theorem 1. 1, this is controlled by the behavior near infinity of both the function and its derivative. This result is extended to any dimension d >= 2.

PY - 2009

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UR - http://ddd.uab.cat/record/47990/

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VL - 859

JO - Centre de Recerca Matemàtica

JF - Centre de Recerca Matemàtica

ER -

Known and new results on absolute convergence of Fourier integrals

Bibliographical note

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Cite this