5 citations · 9 across the 6 of their papers we have counts for
9 papers
On The Rationality Of The Spectrum
Debashish Bose, Shobha Madan
Let be a compact set with measure . If there exists a subset such that the set of exponential functions $E_Λ:=\{e_λ(x) = e^{2πi λx}|_…
"Spectral implies Tiling" for Three Intervals Revisited
Debashish Bose, Shobha Madan
In \cite{BCKM} it was shown that "Tiling implies Spectral" holds for a union of three intervals and the reverse implication was studied under certain restrictive hypotheses on the…
Spectrum is periodic for n-Intervals
Debashish Bose, Shobha Madan
In this paper we study spectral sets which are unions of finitely many intervals in R. We show that any spectrum associated with such a spectral set is periodic, with the period an…
Relations between bilinear multipliers on and
Debashish Bose, Shobha Madan, Parasar Mohanty +1
In this paper we prove the bilinear analogue of de Leeuw's result for periodic bilinear multipliers and some Jodeit type extension results for bilinear multipliers.
On Fuglede's conjecture for three intervals
Debashish Bose, C. P. Anil Kumar, R. Krishnan +1
In this paper we prove the "Tiling implies Spectral" part of Fuglede's paper for the case of three intervals. Then we prove the "Spectral implies Tiling" part of the conjecture for…
Wavelet subspaces invariant under groups of translation operators
Biswaranjan Behera, Shobha Madan
We study the action of translation operators on wavelet subspaces. This action gives rise to an equivalence relation on the set of all wavelets. We show by explicit construction th…