Toward a general theory of transmutation

DOI10.1016/0362-546X(95)00054-YzbMath0859.47033arXivfunct-an/9501006OpenAlexW2092628342WikidataQ126312848 ScholiaQ126312848MaRDI QIDQ4886587

Robert W. Carroll, Amin Boumenir

Publication date: 18 July 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9501006

zbMATH Keywords

generalized eigenfunctionstransformation operatortransmutation operatorPaley-Wiener propertiesselfadjoint operators in Gelfand triples

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Transmutation of orthogonal polynomials, Transmutation Operators and Their Applications, Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems

Cites Work

• Espaces de fonctions différentiables à valeurs vectorielles
• Dirac kets, Gamov vectors and Gel'fand triplets. The rigged Hilbert space formulation of quantum mechanics. Lectures in mathematical physics at the University of Texas at Austin, USA. Ed. by A. Bohm and J. D. Dollard
• Sur certains espaces vectoriels topologiques
• A Comparison Theorem for Selfadjoint Operators
• Lie theorems for generalized translation operators
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