Zobrazeno 1 - 10
of 186
pro vyhledávání: '"Biswas, Chandan"'
Autor:
Biswas, Chandan, Stovall, Betsy
We establish lower bounds for the operator norms of the Fourier restriction/extension operators associated to monomial curves with affine arclength measure. Furthermore, we prove that the set of all extremizing sequences of such an operator is precom
Externí odkaz:
http://arxiv.org/abs/2302.05317
Autor:
Biswas, Chandan, Stovall, Betsy
We show that the restriction and extension operators associated to the moment curve possess extremizers and that $L^p$-normalized extremizing sequences of these operators are precompact modulo symmetries.
Comment: Introduction updated, in partic
Comment: Introduction updated, in partic
Externí odkaz:
http://arxiv.org/abs/2012.01528
Autor:
Biswas, Chandan
We show that the X-ray transform restricted along the moment curve possesses extremizers and that $L^p$-normalized extremizing sequences are pre-compact modulo symmetry.
Externí odkaz:
http://arxiv.org/abs/2009.01889
Amidst an increasing number of infected cases during the Covid-19 pandemic, it is essential to trace, as early as possible, the susceptible people who might have been infected by the disease due to their close proximity with people who were tested po
Externí odkaz:
http://arxiv.org/abs/2004.08851
We expand the class of curves $(\varphi_1(t),\varphi_2(t)),\ t\in[0,1]$ for which the $\ell^2$ decoupling conjecture holds for $2\leq p\leq 6$. Our class of curves includes all real-analytic regular curves with isolated points of vanishing curvature
Externí odkaz:
http://arxiv.org/abs/1812.04760
Publikováno v:
In Information Processing and Management January 2023 60(1)
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Publikováno v:
In Ceramics International 15 November 2022 48(22):33256-33266
Publikováno v:
In Ceramics International 15 April 2022 48(8):11286-11297
Autor:
Biswas, Chandan
Publikováno v:
J Fourier Anal Appl (2019) 25: 2653. https://doi.org/10.1007/s00041-019-09677-x
The operator $T$, defined by convolution with the affine arc length measure on the moment curve parametrized by $h(t)=(t,t^{2},...,t^{d})$ is a bounded operator from $L^{p}$ to $L^{q}$ if $(\frac{1}{p}, \frac{1}{q})$ lies on a line segment. In this a
Externí odkaz:
http://arxiv.org/abs/1710.07692