Authors:
M. Bagota College of Szeged Mathematical Institute Boldogasszony Sgt. 6 6725 Szeged Hungary

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М. Багота College of Szeged Mathematical Institute Boldogasszony Sgt. 6 6725 Szeged Hungary

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Abstract  

Denote by
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\hat f$$ \end{document}
the (complex) Fourier transform of a functionf which belongs toL1(R2). We shall assume thatf is odd inx andy, orf is even inx and odd iny, orf is odd inx and even iny. Among others, we prove that iffL1(R2) and (x, y)=(0,0) is a strong Lebesgue point off, then
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\left| t \right|\left| v \right|\hat f(t,v)$$ \end{document}
tends to 0 as |t|, |v|→∞ in the sense (C;α,β) for allα,β>1.
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Analysis Mathematica
Language English
Size B5
Year of
Foundation
1975
Volumes
per Year
1
Issues
per Year
4
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)