Oscillatory singular integrals and harmonic analysis on nilpotent groups.

Abstract:

:Several related classes of operators on nilpotent Lie groups are considered. These operators involve the following features: (i) oscillatory factors that are exponentials of imaginary polynomials, (ii) convolutions with singular kernels supported on lower-dimensional submanifolds, (iii) validity in the general context not requiring the existence of dilations that are automorphisms.

authors

Ricci F,Stein EM

doi

10.1073/pnas.83.1.1

subject

Has Abstract

pub_date

1986-01-01 00:00:00

pages

1-3

issue

1

eissn

0027-8424

issn

1091-6490

journal_volume

83

pub_type

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