A representation theorem for convolution transform with determining function in Lp

Chaim Danon, Dany Leviatan

Research output: Contribution to journalArticlepeer-review

Abstract

Let G(t) be a kernel in Class II. Necessary conditions in order that a function f(x) be the convolution transform of ø(t)∈ Lp(−∞, ∞) were obtained by the second author. Also it was conjectured that the conditions are in fact sufficient. The conjecture is indeed true and we prove it here.

Original languageEnglish
Pages (from-to)81-86
Number of pages6
JournalPacific Journal of Mathematics
Volume62
Issue number1
DOIs
StatePublished - Jan 1976

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