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 language | English |
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Pages (from-to) | 81-86 |
Number of pages | 6 |
Journal | Pacific Journal of Mathematics |
Volume | 62 |
Issue number | 1 |
DOIs | |
State | Published - Jan 1976 |