Dispersion estimates for the discrete Hermite operator

DOI10.1007/S13226-021-00137-1zbMath1487.39027OpenAlexW3178334204MaRDI QIDQ2065341

Vijay Kumar Sohani, Devendra Tiwari

Publication date: 7 January 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00137-1

zbMATH Keywords

difference operatorHermite polynomialsHermite functionsdispersion estimates

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Discrete version of topics in analysis (39A12) Difference operators (39A70) Dispersion theory, dispersion relations arising in quantum theory (81U30) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Cites Work

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• On Schrödinger propagator for the special Hermite operator
• Schrödinger equation and the oscillatory semigroup for the Hermite operator
• Harmonic Analysis in Phase Space. (AM-122)
• Mean Convergence of Expansions in Laguerre and Hermite Series

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