Poisson's summation formula and Hamburger's theorem

DOI10.2977/prims/1195183578zbMath0499.10042OpenAlexW1978607424MaRDI QIDQ1171599

Leon Ehrenpreis, Takahiro Kawai

Publication date: 1982

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195183578

zbMATH Keywords

Poisson's summation formulaapplication of theory of linear partial differential operators to Hamburger's type theoremDirac's delta-functionsHamburger's theorem for Riemann's zeta-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Hurwitz and Lerch zeta functions (11M35)

Related Items

Calcul exponentiel des opérateurs microdifférentiel d'ordre infini. I ⋮ Finite and infinite order differential relations for theta functions ⋮ Linear Differential equations of infinite order and theta functions

Cites Work

• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung