Banach algebra methods in renewal theory

DOI10.1007/BF02790434zbMath0327.60052OpenAlexW2022978768MaRDI QIDQ1226355

Matts Essén

Publication date: 1973

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790434

Mathematics Subject Classification ID

Ideals, maximal ideals, boundaries (46J20) Renewal theory (60K05)

Related Items (14)

Estimates of the renewal measure ⋮ The second rate function and the asymptotic problems of renewal and hitting the boundary for multidimensional random walks ⋮ Banach algebras of measures of class S(\(\gamma\) ) ⋮ Banach algebras of absolutely continuous measures on the straight line ⋮ On harmonic Hilbert spaces on compact abelian groups ⋮ Banach algebras of measures on the line ⋮ Banach algebras and infinitely divisible distributions ⋮ Eine Restgliedabschaetzung in der Erneuerungstheorie ⋮ Banach algebras of measures on the real line with a given asymptotics of distributions at infinity ⋮ Intuitive approximations in discrete renewal theory. 1: Regularly varying case ⋮ Approximations for solutions of renewal-type equations ⋮ Banach algebras of functions with the same asymptotic behavior at infinity ⋮ Functions of discrete probability measures: Rates of convergence in the renewal theorem ⋮ On harmonic renewal measures

Cites Work

• Harmonic analysis based on certain commutative Banach algebras
• Functions of probability measures
• One-sided error estimates in renewal theory
• Studies on a convolution inequality
• On a class of normed rings
• On Moment Generating Functions and Renewal Theory
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