On a connection between nilpotent groups and oscillatory integrals associated to singularities

Roger Evans Howe

Vol. 73 (1977), No. 2, 329–363

DOI: 10.2140/pjm.1977.73.329

Abstract

The object of this paper is to demonstrate and promote some ties between the theory of harmonic analysis on nilpotent Lie groups theory and another topic the study of oscillatory integrals associated to polynomial singularities. Oscillatory integrals are tempered distributions on Rⁿ, defined by integration against the exponentials of (real-valued) polynomials.

Mathematical Subject Classification 2000

Primary: 22E45

Secondary: 58C25

Milestones

Received: 21 May 1977

Published: 1 December 1977