On a progress in the Kontorovich-Lebedev transform theory and related integral operators

• Type: Article in International Scientific Journal
• Date: 2008

Authors

Semyon B Yakubovich (Author) FCUP

Journal

Title: Integral Transforms and Special Functions

Vol. 19

Pages: 509-534

ISSN: 1065-2469

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 9 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-004-3KJ

DOI: 10.1080/10652460801936663

Abstract (EN): This survey represents mainly recent results of the author, which were obtained during the last decade and concern the theory of the Kontorovich-Lebedev transformation and some related integral operators of the convolution and non-convolution type. In particular, we discuss their boundedness in the Lebesgue, Hardy and Sobolev type spaces and in some spaces of distributions. Special attention is given to the L(2)-case and Plancherel's theory for these operators and to the harmonic analysis of the so-called Lebedev-Stieltjes integrals. Moreover, we concentrate on asymptotic, summation formulas and uncertainty principles for the Kontorovich-Lebedev transform.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 26