Zobrazeno 1 - 10
of 912
pro vyhledávání: '"Narayanan, A. K."'
Let the complex reflection group $G(m,p,n)$ act on the unit polydisc $\mathbb D^n$ in $\mathbb C^n.$ A $\boldsymbol\Theta_n$-contraction is a commuting tuple of operators on a Hilbert space having $$\overline{\boldsymbol\Theta}_n:=\{\boldsymbol\theta
Externí odkaz:
http://arxiv.org/abs/2409.11101
In this semi-expository article, we investigate the relationship between the imprimitivity introduced by Mackey several decades ago and commuting $d$- tuples of homogeneous normal operators. The Hahn-Hellinger theorem gives a canonical decomposition
Externí odkaz:
http://arxiv.org/abs/2402.15737
Autor:
Narayanan, E. K., Sarkar, Srijan
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 a non-zero reducing subspace on which its restriction is unitary. We s
Externí odkaz:
http://arxiv.org/abs/2402.00529
Autor:
Feng, Zhanpeng, Zhang, Shiliang, Takezoe, Rinyoichi, Hu, Wenze, Chandraker, Manmohan, Li, Li-Jia, Narayanan, Vijay K., Wang, Xiaoyu
Active learning is an important technology for automated machine learning systems. In contrast to Neural Architecture Search (NAS) which aims at automating neural network architecture design, active learning aims at automating training data selection
Externí odkaz:
http://arxiv.org/abs/2207.13339
Autor:
Narayanan, Jayachandran K., Hartwig, Jason W., Mackey, Jeffrey R., Kassemi, Mohammad, Kharangate, Chirag R.
Publikováno v:
In International Journal of Heat and Mass Transfer 1 November 2024 232
In this article we describe the 2-cocycles, Schur multiplier and representation group of discrete Heisenberg groups over the unital rings of order $p^2$. We describe all projective representations of Heisenberg groups with entries from the rings $\ma
Externí odkaz:
http://arxiv.org/abs/2202.07243
Autor:
Ghosh, Gargi, Narayanan, E. K.
Publikováno v:
Bulletin des Sciences Math\'ematiques, Volume 188, November 2023, 103340
Let $G$ be a finite pseudoreflection group and $\Omega\subseteq \mathbb C^d$ be a bounded domain which is a $G$-space. We establish identities involving Toeplitz operators on the weighted Bergman spaces of $\Omega$ and $\Omega/G$ using invariant theo
Externí odkaz:
http://arxiv.org/abs/2202.03184
Autor:
Fellner, Avi, Wali, Gurusidheshwar M., Mahant, Neil, Grosz, Bianca R., Ellis, Melina, Narayanan, Ramesh K., Ng, Karl, Davis, Ryan L., Tchan, Michel C., Kotschet, Katya, Yeow, Dennis, Rudaks, Laura I., Siow, Sue-Faye, Wali, Gautam, Yiannikas, Con, Hobbs, Matthew, Copty, Joseph, Geaghan, Michael, Darveniza, Paul, Liang, Christina, Williams, Laura J., Chang, Florence C.F., Morales-Briceño, Hugo, Tisch, Stephen, Hayes, Michael, Whyte, Scott, Kummerfeld, Sarah, Kennerson, Marina L., Cowley, Mark J., Fung, Victor S.C., Sue, Carolyn M., Kumar, Kishore R.
Publikováno v:
In Parkinsonism and Related Disorders July 2024 124
We establish injectivity results for three different spherical means on an $H$-type group, $G$. First is the standard spherical means which is defined to be the average of a function over the spheres in the complement of the center, second is the ave
Externí odkaz:
http://arxiv.org/abs/2109.14963
Autor:
Narayanan, E. K., Pasquale, A.
Publikováno v:
International Mathematics Research Notices, Volume 2022, Issue 19, October 2022, Pages 15111-15154
We study the Heckman-Opdam hypergeometric functions associated to a root system of type $BC$ and a multiplicity function which is allowed to assume some non-positive values (a standard multiplicity function). For such functions, we obtain positivity
Externí odkaz:
http://arxiv.org/abs/2008.00337