Ramesh, G. Professor, Department of Mathematics, Indian Institute of Technology Hyderabad.

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Experience  Teaching  Research  Students  Awards  Projects  Notes  Workshops/Conferences  Talks  IITH  Mathematics Dept

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Notes on Weak Topologies (Lecture Notes prepared for AFS-II, held at KSOM, calicut from 6th June 2016- 1st July 2016)

Lecture notes on Spectral Theorem for Compact Self-adjoint Operators given at NITK Surathkal in the work shop Spectral Analysis and Applications. during 14-16, Feb 2013

Notes on Banach algebras (This is a first version)

Slides on Laplace transforms Laplace transforms (Lecture 1 and 2) (Lecture 3 and 4)

Slide on Fourier transforms (Lecture 1-39) , (Lecture 6)

NPTEL Operator Theory videos

1. Weeks 1-10 (Lectures 1 to 46)
   
   
2. Spectral theorem for self-adjoint operators: Multiplication form (Lecture 47: Week 11)
   
   
3. Spectral mapping theorem for normal operators: Polynomials (Lecture 48: Week 11)
   
   
4. Spectral mapping theorem for normal operators: continuous functions (Lecture 49: Week 12)
   
   
5. Spectral theorem for normal operators: Multiplication form (Lecture 50: Week 12)
   
   
6. Spectral measure (Lecture 51: Week 12)
   
   
7. Spectral measures and representations (Lecture 52: Week 12)
   
   
8. Spectral theorem for normal operators(Lecture 53: Week 12)

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Last updated on 5th May, 2023