Sturm-Liouville hypergroups and asymptotics

DOI10.1007/s00605-017-1048-8zbMath1388.43009OpenAlexW2614835842MaRDI QIDQ1750838

Felix Früchtl

Publication date: 23 May 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-017-1048-8

zbMATH Keywords

asymptotic behaviourdual spaceSturm-Liouville hypergroupLaplace representation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Harmonic analysis on hypergroups (43A62) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Character groups and dual objects (43A40)

Related Items (2)

Multiplicative operator functions and abstract Cauchy problems ⋮ A unified construction of product formulas and convolutions for Sturm-Liouville operators

Uses Software

• DLMF

Cites Work

• One-dimensional hypergroups
• Harmonic analysis of probability measures on hypergroups
• Moment functions and laws of large numbers on hypergroups
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Spaces with an abstract convolution of measures
• Floquet theory for left-definite Sturm-Liouville problems
• Random walks with spherical symmetry
• Local Hardy spaces on Chébli-Trimèche hypergroups
• Functional Equations on Hypergroups
• On the Asymptotic Solutions of Ordinary Differential Equations, with Reference to the Stokes' Phenomenon About a Singular Point
• Lie Theorems for One Dimensional Hypergroups
• One Dimensional Diffusive Hypergroups with Asymptotic Drift
• Domains of Attraction on Sturm–Liouville Hypergroups of Polynomial Growth
• Sturm–Liouville operator functions
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