Pseudodifferential operators on \({\mathbb{Q}_p}\) and \(L\)-series

DOI10.1134/S2070046621040038zbMath1501.47090arXiv2003.00901OpenAlexW3212279442MaRDI QIDQ2066800

Debashis Ghoshal, Parikshit Dutta

Publication date: 14 January 2022

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00901

zbMATH Keywords

modular forms\(p\)-adic integrationpseudodifferential operatorsDirichlet seriesbeta functionsgamma functions

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Miscellaneous applications of number theory (11Z05) Pseudodifferential operators (47G30)

Cites Work

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• Wavelet theory as $ p$-adic spectral analysis
• Phase space distribution of Riemann zeros
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