The Structure of the Algebra of Hankel Transforms and the Algebra of Hankel-Stieltjes Transforms
Canadian journal of mathematics, Tome 23 (1971) no. 2, pp. 236-246

Voir la notice de l'article provenant de la source Cambridge University Press

Let M be the space of all bounded regular complex-valued Borel measures defined on I = [0, ∞). M is a Banach space with ‖μ‖ = ∫d|μ|(x) (μ ∈ M). (Integrals in this paper extend over all of I unless otherwise specified.) Let v be a fixed real number no smaller than and let if z ≠ 0 and , where Jv , is the Bessel function of the first kind of order v and cv =[2v Γ(v + 1)]–1; is an entire function, as can be seen from the power series definition of The Hankel-Stieltjes transform of order v is given by .
Schwartz, Alan. The Structure of the Algebra of Hankel Transforms and the Algebra of Hankel-Stieltjes Transforms. Canadian journal of mathematics, Tome 23 (1971) no. 2, pp. 236-246. doi: 10.4153/CJM-1971-023-x
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