Somantika Datta

activity

20092024

most citedApplication of Zernike polynomials in solving certain first and second order partial differential equations

2 citations · 2 across the 5 of their papers we have counts for

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math.FA2024

Wavelets for $L^{2} (B (0, 1))$ using Zernike polynomials

Somantika Datta, Kanti B. Datta

A set of orthogonal polynomials on the unit disk $B (0, 1)$ known as Zernike polynomials are commonly used in the analysis and evaluation of optical systems. Here Zernike polynomials…

math.FA2013

Tight frames, partial isometries, and signal reconstruction

Enrico Au-Yeung, Somantika Datta

This article gives a procedure to convert a frame which is not a tight frame into a Parseval frame for the same space, with the requirement that each element in the resulting Parse…

Wavelets for L2(B(0,1)) using Zernike polynomials

Tight frames, partial isometries, and signal reconstruction

Wavelets for $L^{2} (B (0, 1))$ using Zernike polynomials