The left-definite spectral theory for the Dunkl--Hermite differential-difference equation

DOI10.1016/J.JMAA.2004.05.023zbMath1051.34070OpenAlexW2061376342WikidataQ115346353 ScholiaQ115346353MaRDI QIDQ1883434

Anis El Garna

Publication date: 12 October 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.05.023

zbMATH Keywords

Dunkl right-definite operatorDunkl second-order Hermite differential equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (1)

Orthogonality and distributional weight functions for Dunkl–Hermite polynomials

Cites Work

• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The Dunkl transform
• The left-definite spectral theory for the classical Hermite differential equation.
• A general left-definite theory for certain self-adjoint operators with applications to differential equations
• S-hermitesche Rand-Eigenwertprobleme. I
• Differential-Difference Operators Associated to Reflection Groups
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