This paper defines π -weighted Laplace transforms on the spaces of π -covariant functions. By the inverse Laplace transform we define operator-valued Bessel functions. We also study the holomorphic ...
Quarterly of Applied Mathematics, Vol. 70, No. 1 (March 2012), pp. 77-97 (21 pages) This note deals with the Laplace transforms of integrands of the form xλ Jα (ax) Jβ (bx), which are found in ...