Arithmetic calculus of Fourier transforms by Igusa local zeta functions

Kimura, Tatsuo

doi:10.1090/S0002-9947-1994-1267223-5

Arithmetic calculus of Fourier transforms by Igusa local zeta functions

Author: Tatsuo Kimura
Journal: Trans. Amer. Math. Soc. 346 (1994), 297-306
MSC: Primary 11S40; Secondary 11S80, 20G20
DOI: https://doi.org/10.1090/S0002-9947-1994-1267223-5
MathSciNet review: 1267223
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Abstract: We show the possibility of explicit calculation of the Fourier transforms of complex powers of relative invariants of some prehomogeneous vector spaces over $\mathbb{R}$ by using the explicit form of -adic Igusa local zeta functions.

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