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- E. K. Narayanan, PARIMALA DEVI, P. Susthitha Menon
- The Indian journal of medical research
- 1953

- K. Vijay Krishnan, E. K. Narayanan, G. K. Sankaran
- The Indian medical gazette
- 1944

areas came to Calcutta in large numbers in search of food and work. Those that were unsuccessful in their quest made the open streets their home, and many of these in course of time reached the stage of advanced inanition. Arrangements had to be made to pick them up from the streets and send them to emergency hospitals for treatment and care. It was found… (More)

We prove an analogue of the Lp version of Hardy’s theorem on semisimple Lie groups. The theorem says that on a semisimple Lie group, a function and its Fourier transform cannot decay very rapidly on an average.

If an integrable function f on the Heisenberg group is supported on the set B × R where B ⊂ Cn is compact and the group Fourier transform f̂(λ) is a finite rank operator for all λ ∈ R \ {0}, then f ≡ 0.

- E. K. Narayanan, P. Susthitha Menon
- The Indian journal of medical research
- 1955

A series expansion for Heckman-Opdam hypergeometric functions φλ is obtained for all λ ∈ a∗ C . As a consequence, estimates for φλ away from the walls of a Weyl chamber are established. We also characterize the bounded hypergeometric functions and thus prove an analogue of the celebrated theorem of Helgason and Johnson on the bounded spherical functions on… (More)

- E. K. Narayanan, K. Vijay Krishnan
- The Indian medical gazette
- 1944

- E. K. Narayanan
- 2011

We define lacunary Fourier series on a compact connected semisimple Lie group G. If f ∈ L1(G) has lacunary Fourier series and f vanishes on a non empty open subset of G, then we prove that f vanishes identically. This result can be viewed as a qualitative uncertainty principle.