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math.CA2021
Clifford Prolate Spheroidal wave Functions
Hamed Baghal Ghaffari, Jeffrey A. Hogan, Joseph D. Lakey
In the present paper, we introduce the multidimensional Clifford prolate spheroidal wave functions (CPSWFs) defined on the unit ball as eigenfunctions of a Clifford differential op…
math.SP2021
Sampling low-spectrum signals on graphs via cluster-concentrated modes: examples
Joseph D. Lakey, Jeffrey A. Hogan
We establish frame inequalities for signals in Paley--Wiener spaces on two specific families of graphs consisting of combinations of cubes and cycles. The frame elements are locali…