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Further spectral properties of the weighted finite Fourier transform operator and approximation in weighted Sobolev spaces

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Publication:5003834
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DOI10.1002/MMA.6770zbMath1469.42011arXiv1901.09912OpenAlexW3047583978MaRDI QIDQ5003834

Nourelhouda Bourguiba, Ahmed Souabni

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.09912


zbMATH Keywords

weighted Sobolev spacesspectral propertiesweighted finite Fourier transformGPSWFs


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Approximation by polynomials (41A10) Error bounds for numerical methods for ordinary differential equations (65L70) Lamé, Mathieu, and spheroidal wave functions (33E10)








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