Subject Code: MA7L018 Subject Name:  Abstract Harmonic Analysis L-T-P: 3-1-0 Credit:4
Pre-requisite(s): Topology (MA5L008), Algebra (MA5L006)
Topological groups, locally compact groups, Haar measure. Modular function, convolutions, homogenous spaces , unitary representations, Gelfand-Raikov theorem
Functions of positive type, GNS construction, Potrjagin dulaity, Bochner's theorem, Induced representations, Mackey's impritivity theorem.
Text/Reference Books:
  1. Folland G. B.  A course in Abstract Harmonic Analysis: Studies in Advanced mathematics, CRC press
  2. Hewitt E.  and Ross K.  Abstract Harmonic Analysis, Vol 1, Springer
  3. Gaal S. A. Linear Analysis and Representation theory, Springer