5 citations · 9 across the 16 of their papers we have counts for
7 papers · 1 filter
Zero Products of Toeplitz operators on the Hardy and Bergman spaces over an annulus
Susmita Das, E. K. Narayanan
We study the zero product problem of Toeplitz operators on the Hardy space and Bergman space over an annulus. Assuming a condition on the Fourier expansion of the symbols, we show…
Mackey Imprimitivity and commuting tuples of homogeneous normal operators
Gadadhar Misra, E. K. Narayanan, Cherian Varughese
In this semi-expository article, we investigate the relationship between the imprimitivity introduced by Mackey several decades ago and commuting - tuples of homogeneous normal…
Unitary parts of Toeplitz operators with operator-valued symbols
E. K. Narayanan, Srijan Sarkar
Motivated by the canonical decomposition of contractions on Hilbert spaces, we investigate when contractive Toeplitz operators on vector-valued Hardy spaces on the unit disc admit…
Injectivity of spherical means on H-type groups
E. K. Narayanan, P. K. Sanjay, K. T. Yasser
We establish injectivity results for three different spherical means on an -type group, . First is the standard spherical means which is defined to be the average of a functi…
Analytic Model of Doubly Commuting Contractions
T. Bhattacharyya, E. K. Narayanan, Jaydeb Sarkar
An n-tuple (n \geq 2), T = (T_1, \ldots, T_n), of commuting bounded linear operators on a Hilbert space \mathcal{H} is doubly commuting if T_i T_j^* = T_j^* T_i for all $1 \leq i <…
Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups
E K Narayanan, A Sitaram
We define lacunary Fourier series on a compact connected semisimple Lie group . If has lacunary Fourier series, and vanishes on a non empty open set, then we prov…
Support theorem on R^n and non compact symmetric spaces
E. K. Narayanan, Amit Samanta
We consider convolution equations of the type f * T = g where f, g are in L^p(R^n) and T is a compactly supported distribution. Under natural assumptions on the zero set of the Fou…