This article is cited in 4 papers

Gaussian integrals and spectral theory over a local field

A. N. Kochubei

Institute of Mathematics, Ukrainian National Academy of Sciences

Abstract: Vladimirov's methods for computing Gaussian integrals and constructing eigenfunctions of a fractional differentiation operator over the field of $p$-adic numbers is extended to the case of an arbitrary local field with a discrete valuation and characteristic of the residue field different from 2.

UDC: 517.948.35+513.86

MSC: 46F10, 46F12, 46S10, 47A70

Received: 28.09.1993

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1995, 45:3, 495–503

Bibliographic databases:

• 
• 
•