Chandan Biswas

activity

20172020

most cited

ℓ^{2}

Decoupling in

R^{2}

for curves with Vanishing Curvature

11 citations · 11 across the 3 of their papers we have counts for

collaborators

4 papers

math.CA2020

Existence of extremizers for Fourier restriction to the moment curve

Chandan Biswas, Betsy Stovall

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 preco…

math.CA2020

Compactness of a restricted X-ray transform

Chandan Biswas

We show that the X-ray transform with directions restricted along the moment curve possesses extremizers and that $L^{p}$ -normalized extremizing sequences are precompact modulo symme…

math.CA2018★ 11 cited

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature

Chandan Biswas, Maxim Gilula, Linhan Li +2

We expand the class of curves $(φ_{1} (t), φ_{2} (t)), t \in [0, 1]$ for which the $ℓ^{2}$ decoupling conjecture holds for $2 \leq p \leq 6$ . Our class of curves includes all real-analytic r…

math.CA2017

Existence of extremizers for a model convolution operator

Chandan Biswas

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^…

Existence of extremizers for Fourier restriction to the moment curve

Compactness of a restricted X-ray transform

ℓ2 Decoupling in R2 for curves with Vanishing Curvature

Existence of extremizers for a model convolution operator

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature