PUBLICATIONS

• A Selberg type zeta function and the representations of SL (2,R), Ph.D. thesis, University of Washington, June 1975.

• On the isomorphism of discrete subgroups of SL (2,R), Michigan Math. J., 23, 1976, (pp. 31-32).

• Positive definite distributions on K\ G/K, Journal of Functional Analysis, 27, 1978, (pp. 179-184).

• Positive definite distributions on K\ G/K (II), Journal of the Indian Mathematical Society, 42, 1978, (pp. 179-184).

• A note on L² (Gamma \SL (2,R), Michigan Math. J., 26, 1979, (pp. 325-331).

• Spherical mean periodic functions on semi-simple Lie groups (jointly with S.C. Bagchi), Pacific Journal of Mathematics, 84, 1979, (pp. 1-10).

• An analogue of the Wiener-Tauberian theorem for spherical functions on semi-simple Lie groups, Pacific Journal of Mathematics, 89, 1980, (pp. 439-445).

• Determining sets for measures on Rⁿ (jointly with S.C. Bagchi), Illinois Journal of Mathematics, 26, 1982, (pp. 419-422).

• A theorem of Cramer and Wold revisited, Proceedings of the American Mathematical Society, 87, 1983, (pp. 714-716).

• Fourier analysis and determining sets for Radon measures on Rⁿ, Illinois Journal of Mathematics, 28, 1984, (pp. 339-347).

• Some remarks on measures on non-compact semi-simple Lie groups, Pacific Journal of Mathematics, 110, 1984, (pp. 429-434).

• Some remarks on homemorphisms of compact Lie groups (jointly with S.C. Bagchi), Proceedings of the American Mathematical Society, 93, 1985, (pp. 159-163).

• The Pompeiu problem for exterior demains in symmetric spaces, (jointly with M. Shahshahani), Contemporary Mathematics, 63, (pp. 267-277).

• Some uncertainty principles in harmonic analysis (jointly with J. F. Price), Proceedings of the Centre for Mathematical Analysis, 15, 1987 (pp. 208-213).

• On an analogue of the Wiener-Tauberian theorem for symmetric spaces of the non-compact type, Pacific Journal of Mathematics, 133, 1988, (pp. 197-208).

• Functions and their Fourier transforms with supports of finite measures for certain locally compact groups, (jointly with J.F. Price), Journal of Functional Analysis, 79, 1988, (pp. 166-182).

• A qualitative uncertainty principle for semi-simple Lie groups (jointly with M. Cowling and J.F. Price), Journal of the Australian Mathematical Society, series A, 45, 1988, (pp. 127-132).

• Local uncertainty inequalities for locally compact groups (jointly with J.F. Price), Transactions of the American Mathematical Society, 308, 1988, (pp. 105-114).

• Local uncertainty inequalities for compact groups (jointly with J. F. Price), Proceedings of the American Mathematical Society, 308, 1988, (pp. 441-447).

• Some remarks on the Pompeiu problem for groups (jointly with D. Scott), Proceedings of the American Mathematical Society, 104, 1988, (pp. 1261-1266).

• The Pompeiu problem revisited (jointly with S.C. Bagchi), L'Enseignement Mathematique, 36, 1990, (pp. 67-91).

• L^p-functions satisfying the mean value property on certain homogeneous spaces (jointly with G. Willis), Journal of the Australian Mathematical Society, series A, 1993.

• Some remarks on the spherical mean-value operator for compact symmetric spaces (jointly with V. Pati and M. Shahshahani), Pacific Journal of Mathematics, 168, 1995, (pp. 335-343).

• The injectivity of the Pompeiu transform and L^p analogues of the Wiener-Tauberian theorem (jointly with R. Rawat), Israel Journal of Mathematics, 91, 1995, (pp. 307-316).

• Uncertainty principles on certain Lie groups (jointly with M. Sundari and S. Thangavelu), Proceedings of the Indian Academy of Sciences, Math. Sci., 105, 1995, (pp. 135-151).

• An uncertainty principle for eigenfunction expansions (jointly with V. Pati, M. Sundari and S. Thangavelu), Journal of Fourier Analysis and Applications, 2, 1996, (pp. 427-434).

• Some qualitative uncertainty principles in harmonic analysis, in Analysis, Geometry and Probability : Essays in honour of K.R. Parthasarathy', R. Bhatia (Ed.), Hindustan Book House, 1996, (pp. 285-298).

• An analogue of Hardy's theorem for very rapidly decreasing functions on semi-simple Lie groups (jointly with M. Sundari), Pacific Journal of Mathematics, 177, 1997, (pp. 187-200).

• The uncertainty principles: A mathematical survey (jointly with G.B. Folland), Journal of Fourier Analysis and Applications, 3, 1997, (pp. 207-238).

• Hardy's Uncertainty Principle on semisimple Lie groups (jointly with M. Cowling and M. Sundari),  Pecific Journal of Mathematics, 192, 2000, (pp. 293-296).

• Injectivity sets for spherical means on Rⁿ and on symmetric spaces (jointly with R. Rawat), Journal of Fourier Analysis and Applications, Vol. 6, Issue 3, 2000, (pp. 343-348).

• Some remarks on the Fourier transform on a symmetric space (jointly with S. Helgason, R. Rawat and J. Sengupta), ISI-BC Technical Report 1998. (Some of the results in this report are described in Non-Euclidean analysis by S. Helgason, Janos Bolyai Memorial Conference, July 2002, Kluwer Publishing (Co.)

• Some questions on integral geometry on Riemannian manifolds (jointly with V. Pati), Sankhya, 2000. (Special volume in honour of the 60th birthday of M.G. Nadkarni.)

• The Helgason Fourier transform for symmetric spaces (jointly with R.P. Sarkar), A tribute to C.S. Seshadri, Trends in Mathematics, Vol. 24, Birkhauser Verlag, 2003, (pp. 467-473). (Invited article.)

• The Helgason Fourier transform for symmetric spaces-II (jointly with P. Mohanty, S.K. Ray and R.P. Sarkar), Journal of Lie Theory, 2004, no.1, 227-242.

• The Helgason Fourier transform for semisimple Lie groups I; the case of SL(2,R) (jointly with R.P. Sarkar), Preprint, August 2004.

• The Helgason Fourier transform for certain semisimple Lie groups (jointly with R.P. Sarkar and J. Sengupta), under preparation.

• Some aspects of the role of the motion group in classical Fourier analysis, in Applicable Mathematics in the Golden Age, Narosa 2003, (J.C. Misn, Ed.).

• Several expository articles in Resonance - Journal of Science Education, during the period 1996-2000.

• Invited article in the Kluwer Encyclopedia of Mathematics on the Mathematical Uncertainty Principle (Year ????).

BOOKS:

• A first course on representation theory and linear Lie groups (jointly with S.C. Bagchi, S. Madan and U.B. Tewari), Universities Press, April 2000.

• Mathematical Analysis (in the series Echoes from Resonance), Editors: V. Pati and A. Sitaram, Universities Press 2001 (second printing 2004).