The spectral expansion approach to index transforms and connections with the theory of diffusion processes

DOI10.3934/cpaa.2018112zbMath1395.44012arXiv1706.05194OpenAlexW2626007857MaRDI QIDQ1660060

Rúben Sousa, Semyon B. Yakubovich

Publication date: 23 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05194

zbMATH Keywords

Sturm-Liouville spectral problemindex transformsYor integral

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Applications of stochastic analysis (to PDEs, etc.) (60H30) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items

Generalization of Titchmarsh's theorem for the modified Whittaker transform ⋮ On the product formula and convolution associated with the index Whittaker transform ⋮ Whittaker-Stockwell transform and Tikhonov regularization problem ⋮ Markov limits of steady states of the KPZ equation on an interval ⋮ Markov processes related to the stationary measure for the open KPZ equation ⋮ Heat kernel in the framework of zero order Mehler-Fock transform ⋮ A unified construction of product formulas and convolutions for Sturm-Liouville operators ⋮ Lévy processes with respect to the Whittaker convolution

Uses Software

• DLMF

Cites Work

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