The Fourier exchange theorem for kernels
The Fourier exchange theorem ![]()
is generalized to ′-convolvable kernels,
i.e. temperate distributions K(x, y) ∈ ′(ℜ2n
) for which K(x − y, y) is semitemperate with respect to x and partially summable with respect to y.
Keywords: 42B10; 42B20; 46F10; 46F12; Fourier transform; convolution of distributions; temperate distributions
Document Type: Research Article
Affiliations: Institute for Mathematics, University of Innsbruck, Innsbruck A-6020, Austria
Publication date: 01 November 2011
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