Background
Thangavelu, Sundaram was born on June 17, 1957 in Palapatti, Tamilnadu, India. Son of V. P. and Govindammal Sundaram.
( The interplay between analysis on Lie groups and the th...)
The interplay between analysis on Lie groups and the theory of special functions is well known. This monograph deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. The main thrust of the book is to develop a concrete Littlewood-Paley-Stein theory for these expansions and use the theory to prove multiplier theorems. The questions of almost-everywhere and mean convergence of Bochner-Riesz means are also treated. Most of the results in this monograph appear for the first time in book form.
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Thangavelu, Sundaram was born on June 17, 1957 in Palapatti, Tamilnadu, India. Son of V. P. and Govindammal Sundaram.
After obtaining an Master of Science degree from Madras University in 1980, Thangavelu moved to Princeton University and obtained the Doctor of Philosophy degree in 1987 from there under the supervision of Elias Stein.
He is a professor in the Department of Mathematics of Indian Institute of Science, Bangalore. He returned to India and worked at Tata Institute of Fundamental Research until 1993 when he moved to Indian Statistical Institute, Bangalore. In 2005, he shifted to Indian Institute of Science and continues there as Professor in the Department of Mathematics.
He was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology in 2002, the highest science award in India, in the mathematical sciences category.
Thangavelu has made significant contributions to the field of harmonic analysis on Euclidean spaces, Heisenberg groups and symmetric spaces, and also authored three monographs in these areas.
( The interplay between analysis on Lie groups and the th...)
Fellow Indian Academy Scis.mem. American Mathematics Society.
Married Umarani Balagopal, August 25, 1988. Children: Pulari University, Manchu University.