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- Publisher
- Springer Journals
- Copyright
- Copyright © Tusi Mathematical Research Group (TMRG) 2020
- ISSN
- 2639-7390
- eISSN
- 2008-8752
- DOI
- 10.1007/s43034-020-00103-8
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we study the Lambert transform over distributions of compact support on (0,∞)\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$(0,\infty )$$\end{document}. We obtain an inversion formula for this transform and we prove a Parseval-type relation for the Lambert transform of functions in L1((0,∞))\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$L^1 ((0,\infty ))$$\end{document}. We also extend this transform to Boehmian spaces.
Journal
Annals of Functional Analysis – Springer Journals
Published: Nov 23, 2020