A generalization of A. Connes' trace formula
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Publication:1048937
DOI10.1016/j.jnt.2009.07.008zbMath1216.11105OpenAlexW2013283021MaRDI QIDQ1048937
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
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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