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Shift-invariant spaces with countably many mutually orthogonal generators on the heisenberg group
, Adhikari S.
Published in University of Houston
Volume: 46
Issue: 2
Pages: 435 - 463
Let E(A) denote the shift-invariant space associated with a countable family A of functions in L2(Hn) with mutually orthogonal generators, where Hn denotes the Heisenberg group. The characterizations for the collection E(A) to be orthonormal, Bessel sequence, Parseval frame and so on are obtained in terms of the group Fourier transform of the Heisenberg group. These results are derived using such type of results which were proved for twisted shift-invariant spaces and characterized in terms of Weyl transform. © 2020 University of Houston
About the journal
JournalHouston Journal of Mathematics
PublisherUniversity of Houston
Open AccessNo