17 citations · 24 across the 5 of their papers we have counts for
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Detailed analysis of prolate quadratures and interpolation formulas
Andrei Osipov, Vladimir Rokhlin
As demonstrated by Slepian et. al. in a sequence of classical papers, prolate spheroidal wave functions (PSWFs) provide a natural and efficient tool for computing with bandlimited…
Evaluation of small elements of the eigenvectors of certain symmetric tridiagonal matrices with high relative accuracy
Andrei Osipov
Evaluation of the eigenvectors of symmetric tridiagonal matrices is one of the most basic tasks in numerical linear algebra. It is a widely known fact that, in the case of well sep…
Certain upper bounds on the eigenvalues associated with prolate spheroidal wave functions
Andrei Osipov
Prolate spheroidal wave functions (PSWFs) play an important role in various areas, from physics (e.g. wave phenomena, fluid dynamics) to engineering (e.g. signal processing, filter…
Certain inequalities involving prolate spheroidal wave functions and associated quantities
Andrei Osipov
Prolate spheroidal wave functions (PSWFs) play an important role in various areas, from physics (e.g. wave phenomena, fluid dynamics) to engineering (e.g. signal processing, filter…