26 citations · 59 across the 27 of their papers we have counts for
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Weighted interpolation from certain singular affine hypersurfaces
Vamsi Pingali
We prove that square integrable holomorphic functions (with respect to a plurisubharmonic weight) can be extended in a square integrable manner from certain singular hypersurfaces…
Bargmann-Fock extension from Singular Hypersurfaces
Vamsi P. Pingali, Dror Varolin
We establish sufficient conditions for extension of weighted square integrable holomorphic functions from a possibly singular hypersurface to the ambient affine space. The norms we…
On the asymptotics of the on-diagonal Szegö kernel of certain Reinhardt domains
Arash Karami, Vamsi Pingali
We compute the leading and sub-leading terms in the asymptotic expansion of the Szegö kernel on the diagonal of a class of pseudoconvex Reinhardt domains whose boundaries are endow…
Computing Teichmüller Maps between Polygons
Mayank Goswami, Xianfeng Gu, Vamsi P. Pingali +1
By the Riemann-mapping theorem, one can bijectively map the interior of an -gon to that of another -gon conformally. However, (the boundary extension of) this mapping…