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Some oscillatory integrals and their applications. (English) Zbl 0568.43004

Sémin., Équations Dériv. Partielles 1984/1985, Exp. No. 23, 5 p. (1985).
Summary: We shall discuss several kinds of oscillatory integrals, and we describe briefly their applications to some questions related to the \({\bar \partial}\)-Neumann problem, real-variable problems connected with certain maximal functions, and analysis on nilpotent Lie groups. The three kinds of oscillatory integrals we shall treat are in appearance quite different from each other, but in reality the ideas used to deal with each have much in common. What follows describes some joint work done with D. H. Phong, C. D. Sogge and F. Ricci.

MSC:

43A80 Analysis on other specific Lie groups
42B25 Maximal functions, Littlewood-Paley theory
22E25 Nilpotent and solvable Lie groups
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