Oscillatory singular integrals and harmonic analysis on nilpotent groups.
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.
Dipartimento di Matematica, Politecnico di Torino, 10129 Torino, Italy.
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Ricci
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EM
Stein