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A Fourier transform theorem on nilmanifolds and nil-theta functions

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Publication:1838672
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DOI10.2140/pjm.1982.103.539zbMath0511.43005OpenAlexW1977438100MaRDI QIDQ1838672

Richard C. Penney

Publication date: 1982

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1982.103.539


zbMATH Keywords

Fourier transformfunctional equationnilpotent Lie grouptempered distributionnilmanifoldsinvariant symmetric bilinear formabelian characterAbelian nilpotent associative algebraclosed cocompact subgroupHAT algebraleft commutativemy-primarynil-theta functions


Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)


Related Items (1)

Harmonically Induced Representations on Nilpotent Lie Groups and Automorphic Forms on Nilmanifolds




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