The use of the Kontorovich-Lebedev transform in an analysis of regularized Schrodinger equation

• Type: Article in International Scientific Journal
• Date: 2013

Authors

Yakubovich, S (Author) FCUP; Vieira, N (Author) Other

Journal

Title: Integral Transforms and Special Functions

Vol. 24

Pages: 9-22

ISSN: 1065-2469

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-002-1VH

DOI: 10.1080/10652469.2011.648380

Abstract (EN): In this paper, we introduce a notion of the Schrodinger kernel associated with the familiar KontorovichLebedev transform. In order to control its singularity at infinity, we need to implement the so-called regularization procedure. Hence, we obtain a sequence of regularized kernels which converge to the original kernel when a regularization parameter tends to zero. We study differential properties of the regularized kernel and a solution for a certain type of regularized Schrodinger equation. A family of regularized Weierstrass's transforms is presented. Finally, we examine a pointwise convergence of this sequence of operators, when the regularization parameter tends to zero.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14