Spectral properties and a Parseval's equality in the singular case for \(q\)-Dirac problem

DOI10.1186/S13662-019-2464-YzbMath1487.39009OpenAlexW2995965365WikidataQ126564527 ScholiaQ126564527MaRDI QIDQ2142042

Seyfollah Mosazadeh

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2464-y

zbMATH Keywords

singularityspectral functionParseval's equality\(q\)-Dirac problem

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13)

Related Items (2)

A q-Dirac boundary value problem with eigenparameter-dependent boundary conditions ⋮ Uniqueness for an inverse quantum-Dirac problem with given Weyl function

Cites Work

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• \(q\)-type sampling theorems
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• Basic Sturm–Liouville problems
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• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation

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