Some remarks concerning the Fourier transform in the space L2(ℝn)

Some remarks concerning the Fourier transform in the space L2(ℝn)

For the Fourier transform in the space L 2 (ℝ 2 ) of square integrable multivariable functions, two practically useful estimates are proved in certain classes of functions characterized by a generalized continuity modulus.

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Veröffentlicht in:Computational mathematics and mathematical physics 2008-12, Vol.48 (12), p.2146-2153
Hauptverfasser: Abilov, V. A., Abilova, F. V., Kerimov, M. K.
Format: Artikel
Sprache:eng
Schlagworte:
Computational mathematics
Computational Mathematics and Numerical Analysis
Equality
Fourier transforms
Mathematics
Mathematics and Statistics
Physics
Studies
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Zusammenfassung:For the Fourier transform in the space L 2 (ℝ 2 ) of square integrable multivariable functions, two practically useful estimates are proved in certain classes of functions characterized by a generalized continuity modulus.
ISSN:0965-5425
1555-6662
DOI:10.1134/S096554250812004X