TOPICS IN ADVANCED ANALYSIS B
Degree course:
Corso di Second cycle degree in MATHEMATICS
Academic year when starting the degree:
2016/2017
Year:
1
Academic year in which the course will be held:
2016/2017
Course type:
Compulsory subjects, characteristic of the class
Credits:
8
Period:
First Semester
Standard lectures hours:
80
Detail of lecture’s hours:
Lesson (80 hours)
Requirements:
Lebesgue integral, basic Functional Analysis, Lp spaces, basic Probability Theory
Final Examination:
Orale
Assessment:
Voto Finale
Tools and concepts of Abelian Harmonic Analysis
Fourier Series and Integrals
Harmonic Functions and the Poisson Kernel
Conjugate Harmonic Functions nd the Hilbert Transform.
Fourier Transforms in the space Rn.
Recall of some notions of Probability Theory.
Random Fourier Seriese.
Introduction to Singular Integrals and the Calderon-Zygmund Theory
C. Muscalu, W. Schlag, Classical and Multilinear Harmonic Analysis, vol 1.
Professors
CAZZANIGA FRANCO
Borrowers
-
Degree course in: