With a focus on Prof. S. Thangavelu's (Infosys Visiting Professor) academic visit to HRI, the page is primarily for the academic activities in Analysis at HRI.
In these lectures, we discuss certain bounded linear
operators on Fock/twisted Fock spaces leading to the definition of
twisted Heisenberg groups $ H^n_\lambda(\C)$. We construct a certain
unitary representation of this group and use an operator analogue of
Hardy's theorem proves that this representation is irreducible. --:References:--
° The lectures are held on Tuesdays and Thursdays from 11:15 a.m. to 12:30 p.m. in the seminar room next to Higgs Hall.
Valentine "Valya" Bargmann (April 6, 1908 – July 20, 1989) was a German-American mathematician and theoretical physicist.
Vladimir Aleksandrovich Fock (December 22, 1898 – December 27, 1974) was a Soviet physicist, who did foundational work on quantum mechanics and quantum electrodynamics.
Godfrey Harold Hardy (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis.
Singular Integrals -Lp boundedness, Spectral estimates on the sphere: Prof. S. Thangavelu.
Basics on Fourier multipliers: Prof. P.K. Ratnakumar
Unique Continuation Principle (UCP) for Partial Differential Equations: Dr. Tuhin Ghosh.
Seminar/Colloquium:
Linear and Bilinear Multipliers for the Dunkl Transform : Dr. Suman Mukherjee, NISER Bhubaneswar.
A homogenization approach to the effects of surfactant concentration and interfacial slip on the flow past viscous drops: Dr. Hari Shankar Mahato, IIT Kharagpur.