Analysis II (JRF), Even Sem 2021
Analysis II (JRF) - Even Semester 2021
Term: Even Semester 2021
Duration: July 16 - Aug 31, 2021
Course Name: Analysis II (JRF)
Instructor: Soumyashant Nayak
Class Schedule: Tue 02:00 p.m. - 03:30 p.m., Fri 10:00 a.m. - 11:30 a.m. (Zoomlink shared over email)
Textbooks and other references:
- A first course in harmonic analysis by A. Deitmar (Chapters 1-4)
- Introduction to Fourier analysis on Euclidean spaces by E. Stein, G. Weiss (Chapters 1-2)
- Principles of harmonic analysis by A. Deitmar, S. Echterhoff (Chapters 1-2)
- Classical Fourier analysis by L. Grafakos (Sections 1.1, 1.3, 2.1, 2.2, 2.3)
- Singular integrals and differentiability properties of functions by E. Stein (Chapter 1)
- Harmonic analysis as the exploitation of symmetry - a historical survey by G. W. Mackey, Bull. Amer. Math. Soc. 3 (1980), 543--698.
Lecture Notes
(Rough Notes from Live Class)
Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Assignments
Assignment 1
Assignment 2
Assignment 3
Assignment 4
Assignment 5
Assignment 6