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Some oscillatory integrals and their applications. (English) Zbl 0577.42010
Journ. Équ. Dériv. Partielles, Saint-Jean-De-Monts 1985, No. 1, Exp. No. 4, 5 p. (1985).
Summary: We 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 treat are in appearance quite different from each other, but in reality the ideas used to deal with each have much in common. This paper describes some joint work done with D. H. Phong, C. D. Sogge and F. Ricci.
##### MSC:
 42A50 Conjugate functions, conjugate series, singular integrals 42B25 Maximal functions, Littlewood-Paley theory 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
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