Tempered generalized functions and their Fourier transforms

DOI10.1007/BF01897311zbMath0534.46027MaRDI QIDQ3317591

Árpád Száz

Publication date: 1982

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

zbMATH Keywords

Fourier transformstempered generalized functionsmultiplier extension

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Calculus of Mikusi?ski and other operational calculi (44A40) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

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• The Fourier theorem
• Convolution multipliers
• Analytic functions and the Fourier transform of distributions. I, II
• Discrete Fourier Analysis for Quotient Multipliers
• Generalized Functions on the Unit Circle
• Analytical and Algebraic Aspects of the Operational Calculus
• A two-sided operational calculus
• An algebraic view of distributions and operators

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