Title

Regularization, pseudofunction, and hadamard finite part

Document Type

Article

Publication Date

1-1-1989

Abstract

First, we discuss and correlate the various types of regularizations available in the literature for the singular function H(x) xk, where k is an integer and H(x) is the Heaviside function. Then we present the corresponding regularization for the function r-k, where r is the radial distance in Rn. Thereafter, we express the recently discovered distributional derivatives of this function in terms of pseudofunctional language commonly used in the Coulomb, gravitational, and interparticle potentials where the function 1 r plays a fundamental role. © 1989.

Publication Source (Journal or Book title)

Journal of Mathematical Analysis and Applications

First Page

195

Last Page

207

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