Some Comments on the Burzyk-Paley-Wiener Theorem for Regular Operators

Thomas K. Boehme
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Thomas K. Boehme: University of California

A chapter in Generalized Functions, Convergence Structures, and Their Applications, 1988, pp 121-124 from Springer

Abstract: Abstract The proof of the Paley-Wiener type theorem of Burzyk was outlined by J. Burzyk in his talk during this conference. A full proof is to appear in print soon. The following are some comments concerning his theorem. The theorem can be posed as pertaining to regular operators or as pertaining to regular quotients on the whole line (the Boehmian’s of P. and J. Mikusiński) since those with compact support coincide.

Keywords: Entire Function; Compact Support; Fourier Coefficient; Approximate Identity; Regular Operator (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-1-4613-1055-6_10

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