Fourier transform over local fields

David Kazhdan

doi:10.1007/s00032-006-0051-7

Fourier transform over local fields

David Kazhdan^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The Fourier transform in the space of distributions on finite-dimensional vector spaces over local fields is defined, and a strong similarity between the case of archimedian and non-archimedian fields is discussed. Furthermore, the definition of the Fourier transform for the case of "functions" on finite-dimensional vector spaces over 2-dimensional local fields is introduced.

Original language	English
Pages (from-to)	213-225
Number of pages	13
Journal	Milan Journal of Mathematics
Volume	74
Issue number	1
DOIs	https://doi.org/10.1007/s00032-006-0051-7
State	Published - Nov 2006

Keywords

Fourier transform
Local fields

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10.1007/s00032-006-0051-7

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Fourier transform over local fields

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Keywords

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