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This article is cited in 19 scientific papers (total in 20 papers)
Harmonic analysis on local fields and adelic spaces. II
D. V. Osipov, A. N. Parshin Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We develop harmonic analysis in certain categories of filtered Abelian
groups and vector spaces. The objects of these categories include
local fields and adelic spaces arising from arithmetic surfaces.
We prove some structure theorems for quotients of the adèle groups
of algebraic and arithmetic surfaces.
Keywords:
arithmetic surfaces, higher adèles, harmonic analysis, Fourier transform,
Poisson summation formulae.
Received: 22.12.2009 Revised: 10.12.2010
Citation:
D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. II”, Izv. RAN. Ser. Mat., 75:4 (2011), 91–164; Izv. Math., 75:4 (2011), 749–814
Linking options:
https://www.mathnet.ru/eng/im4278https://doi.org/10.1070/IM2011v075n04ABEH002552 https://www.mathnet.ru/eng/im/v75/i4/p91
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Abstract page: | 935 | Russian version PDF: | 229 | English version PDF: | 23 | References: | 58 | First page: | 11 |
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