An example of a complete orthonormal system in a Hilbert space of generalized functions

DOI10.1007/BF02486463zbMath0887.46014OpenAlexW2376345175MaRDI QIDQ3364834

O. V. Gladkivska

Publication date: 1997

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02486463

zbMATH Keywords

rigged Hilbert spaceapproximation by partial sumsDirac \(\delta\)-functioncomplete orthonormal system of distributions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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