6 citations · 20 across the 13 of their papers we have counts for
15 papers
Integration of monomials over the unit spere and unit ball in
Calixto P. Calderon, Alberto Torchinsky
We compute the integral of monomials of the form over the unit sphere and the unit ball in where is a multi-index with real components $β_k > -1/2…
A Characterization of the Lorentz space in terms of Orlicz type classes
Calixto P. Calderon, Alberto Torchinsky
We describe the Lorentz space , in terms of Orlicz type classes of functions L . As a consequence of this result it follows that Stein's characterization…
Modified Riemann sums of Riemann-Stieltjes integrable functions
Alberto Torchinsky
In this paper, motivated by physical considerations, we introduce the notion of modified Riemann sums of Riemann-Stieltjes integrable functions, show that they converge, and comput…
The change of variable formula for Riemann-Stieltjes integrals
Alberto Torchinsky
We consider general formulations of the change of variable formula for the Riemann-Stieltjes integral, including the case when the substitution is not invertible.
The change of variable formula for the Riemann integral
Alberto Torchinsky
This note concerns the general formulation by Preiss and Uher of Kestelman's influential result pertaining the change of variable, or substitution, formula for the Riemann integral…
Bessel Functions and the Wave Equation
Alberto Torchinsky
We solve the Cauchy problem for the -dimensional wave equation using elementary properties of the Bessel functions.