Expansions of analytic functions in products of Bessel functions

DOI10.1007/BF03322322zbMath0794.34070WikidataQ124629929 ScholiaQ124629929MaRDI QIDQ689889

Alfred Sattler, Manfred Möller, Reinhard Mennicken, Heinz K. Langer

Publication date: 29 August 1994

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenfunction expansionBerson seriesCarlitz serieslinear first- order differential systems

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) General harmonic expansions, frames (42C15)

Related Items (4)

Expansions in series of products of eigenfunctions ⋮ Expansion of Analytic Functions in Series of Floquet Solutions of First Order Differential Systems ⋮ Expansions in series of suitable systems of functions ⋮ On the Carlitz expansion in products of Bessel functions

Cites Work

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• On the Carlitz expansion in products of Bessel functions
• Reihenentwicklung analytischer Funktionen nach Biorthogonalsystemen spezieller Funktionen. I, II
• Zur Theorie der Neumannschen und Kapteynschen Reihen
• Mathieu functions and spheroidal functions and their mathematical foundations. Further studies
• Reihenentwicklungen analytischer Funktionen nach Biorthogonalsystemen spezieller Funktionen. III
• The inverse of certain formulas involving Bessel functions
• Biorthogonalentwicklungen analytischer Funktionen nach Produkten spezieller Funktionen. I
• Biorthogonalentwicklungen analytischer Funktionen nach Eigenlösungen linearer Differentialgleichungen
• Biorthogonalentwicklungen analytischer Funktionen nach Produkten spezieller Funktionen. II
• Eine Verallgemeinerung der Kapteynschen Reihen
• Expansion of Analytic Functions in Series of Floquet Solutions of First Order Differential Systems

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