A generalization of A. Connes' trace formula

DOI10.1016/j.jnt.2009.07.008zbMath1216.11105OpenAlexW2013283021MaRDI QIDQ1048937

Xian-Jin Li

Publication date: 8 January 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.07.008

zbMATH Keywords

Bessel functionsHankel transformationp-adic numbersadele groupConnes' trace formula

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other Dirichlet series and zeta functions (11M41) Adèle rings and groups (11R56) Analysis on (p)-adic Lie groups (22E35) Relations with noncommutative geometry (11M55)

Related Items (3)

On Connes' trace formula for the Hankel transformation of order \(-1/2\) ⋮ Prolate spheroidal wave functions, Sonine spaces, and the Riemann zeta function ⋮ An adelic Hankel summation formula

Cites Work

• Traceable integral kernels on countably generated measure spaces
• On the inequality of Castelnuovo-Severi
• Trace formula in noncommutative geometry and the zeros of the Riemann zeta function
• An adelic Hankel summation formula
• Special functions on locally compact fields
• On the Hankel transformation of order zero
• Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
• Self-reciprocal functions
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