Boehmians and fourier transform

DOI10.1080/10652460008819255zbMath0980.46027OpenAlexW2061194868MaRDI QIDQ4513741

V. Karunakaran, N. V. Kalpakam

Publication date: 4 March 2002

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460008819255

zbMATH Keywords

Boehmians

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Calculus of Mikusi?ski and other operational calculi (44A40) Laplace transform (44A10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (1)

The Weierstrass transform for a class of generalized functions

Cites Work

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• Fourier transform for integrable Boehmians
• Boehmians and generalized functions
• A new theory for Fourier analysis. I: The space of test functions
• A new theory for Fourier analysis. IV: Basic multiplication and convolution on the dual space
• Periodic Boehmians
• A new theory for Fourier analysis. II: Further analysis on the space of test functions
• A new theory for Fourier analysis. III: Basic analysis on the dual
• Analytic functions and the Fourier transform of distributions. I, II
• Periodic Boehmians II
• The Laplace transform on a class of Boehmians
• Tempered Boehmians and Ultradistributions
• The two-sided laplace transform for boehmians
• The Radon Transform of Boehmians

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