Harmonic analysis on the rank- value group of a two-dimensional local field

DOI10.1070/SM9201zbMath1452.43005arXiv1911.09718OpenAlexW3121162913MaRDI QIDQ5112425

D. V. Osipov, A. N. Parshin

Publication date: 29 May 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09718

zbMATH Keywords

Fourier transformharmonic analysisvalue groupdiscrete Heisenberg groupstwo-dimensional local field

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (1)

The Mellin transform and the Plancherel theorem for the discrete Heisenberg group

Cites Work

• Representations of the discrete Heisenberg group on distribution spaces of two-dimensional local fields
• Notes on the Poisson formula
• Representations of Higher Adelic Groups and Arithmetic
• Harmonic analysis on local fields and adelic spaces. II
• A holomorphic version of the Tate-Iwasawa method for unramifiedL-functions. I
• Harmonic analysis on local fields and adelic spaces. I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Harmonic analysis on the rank- value group of a two-dimensional local field