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

Access to Document

10.1007/s00032-006-0051-7

Cite this

@article{1a63156e32a74ef68070d91e13434f35,

title = "Fourier transform over local fields",

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.",

keywords = "Fourier transform, Local fields",

author = "David Kazhdan",

year = "2006",

month = nov,

doi = "10.1007/s00032-006-0051-7",

language = "אנגלית",

volume = "74",

pages = "213--225",

journal = "Milan Journal of Mathematics",

issn = "1424-9286",

publisher = "Springer International Publishing",

number = "1",

}

TY - JOUR

T1 - Fourier transform over local fields

AU - Kazhdan, David

PY - 2006/11

Y1 - 2006/11

N2 - 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.

AB - 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.

KW - Fourier transform

KW - Local fields

UR - https://www.scopus.com/pages/publications/33751532757

U2 - 10.1007/s00032-006-0051-7

DO - 10.1007/s00032-006-0051-7

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:33751532757

SN - 1424-9286

VL - 74

SP - 213

EP - 225

JO - Milan Journal of Mathematics

JF - Milan Journal of Mathematics

IS - 1

ER -

Fourier transform over local fields

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this