Sobolev type spaces in quantum calculus

DOI10.1016/j.jmaa.2009.06.008zbMath1187.46030OpenAlexW2005650176MaRDI QIDQ837594

Belgacem Selmi, Akram Nemri

Publication date: 20 August 2009

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.2009.06.008

zbMATH Keywords

quantum calculus\(q\)-cosine\(q\)-distributions\(q\)-Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General mathematical topics and methods in quantum theory (81Q99) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (3)

Analytical approximation formulas in quantum calculus ⋮ A characterization of weighted Besov spaces in quantum calculus ⋮ Lipschitz and Besov spaces in quantum calculus

Cites Work

• The \(q\)-cosine Fourier transform and the \(q\)-heat equation
• Distribution and convolution product in quantum calculus
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Covariant differential calculus on the quantum hyperplane
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