Ciclo di Seminari Oscillatory Integrals

Periodo di svolgimento
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Info sul corso
Ore del corso
20
Ore dei docenti responsabili
20
Ore di didattica integrativa
0
CFU 3
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Modalità esame

Relazione di seminario

Lecturer

Gian Maria Dall'Ara

Prerequisiti

Elements of Fourier Analysis on Euclidean Spaces.

Programma

Asymptotics of oscillatory integrals via resolution of singularities. Van der Corput-type estimates, sublevel set lemmas and the issue of stability. Depending on time and interest, I also want to talk about recent developments and applications.

Obiettivi formativi

Learn various classical and modern techniques for bounding and finding asymptotics of oscillatory integrals and oscillatory integral operators, with a view toward applications to harmonic analysis, PDEs etc.

Riferimenti bibliografici

I will use various sources, among them: E. M. Stein, Harmonic Analysis; G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov Trigonometric Sums in Number Theory and Analysis; V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko Singularities of Differentiable Maps, Vol. 2.

E-mail: gianmaria.dallara@sns.it