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Fourier Transform Over Local Fields

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Milan Journal of Mathematics Aims and scope Submit manuscript

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.

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Authors and Affiliations

  1. Einstein Institute of Mathematics, Edmond J. SafraCampus, Givat Ram, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel

    David Kazhdan

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  1. David Kazhdan
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Correspondence to David Kazhdan.

Additional information

Leonardo da Vinci lecture held on June 29, 2005

Received: October 2005

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Kazhdan, D. Fourier Transform Over Local Fields. Milan j. math. 74, 213–225 (2006). https://doi.org/10.1007/s00032-006-0051-7

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  • DOI: https://doi.org/10.1007/s00032-006-0051-7

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