Plancherel theorem for vector valued functions and Boehmians

DOI10.1216/rmjm/1181071719zbMath0936.46032OpenAlexW1996803611MaRDI QIDQ1293535

V. Karunakaran, V. Baby Thilaga

Publication date: 18 May 2000

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL28-4/CONT28-4/CONT28-4.html

zbMATH Keywords

Fourier transformdistributionBoehmiansconvolutiontest functionPlancherel theory

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Cites Work

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• Fourier transform for integrable Boehmians
• Boehmians and generalized functions
• Realizability theory for continuous linear systems
• Periodic Boehmians
• The Support of Mikusinski Operators
• Periodic Boehmians II
• On orders of directly indecomposable finite rings
• Fourier transform of Banach algebra valued functions on group
• Fourier transform of Banach algebra valued functions on group, II
• Strong Boehmians
• Tempered Boehmians and Ultradistributions
• The two-sided laplace transform for boehmians
• The Radon Transform of Boehmians