Numerical reconstruction from the Fourier transform on the ball using prolate spheroidal wave functions
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DOI: 10.1088/1361-6420/ac87cb
Abstract: We implement numerically formulas of Isaev and Novikov (2022 J. Math. Pures Appl. 163 318–33) for finding a compactly supported function v on Rd , d ⩾ 1, from its Fourier transform F[v] given within… read more here.
Keywords: numerical reconstruction; transform; prolate spheroidal; fourier transform ... See more keywords
Efficient Methods for the Chebyshev-Type Prolate Spheroidal Wave Functions and Corresponding Eigenvalues
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DOI: 10.3390/math12060807
Abstract: This study explores efficient methods for computing eigenvalues and function values associated with Chebyshev-type prolate spheroidal wave functions (CPSWFs). Applying the expansion of the factor eicxy and the inherent properties of Chebyshev polynomials, we present… read more here.
Keywords: prolate spheroidal; chebyshev type; spheroidal wave; type prolate ... See more keywords