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pro vyhledávání: '"Khole Timothy Poumai"'
Publikováno v:
Journal of Mathematics, Vol 2021 (2021)
In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces. Also, a characterizat
Externí odkaz:
https://doaj.org/article/06d6d4deea9047028e65fcf2cc30e449
Publikováno v:
Journal of Mathematics, Vol 2013 (2013)
Weak*-Schauder frame in conjugate Banach spaces has been introduced and studied. A sufficient condition for the existence of weak*-Schauder frame in the conjugate space of a separable Banach space has been given. It has been shown that has weak*-Scha
Externí odkaz:
https://doaj.org/article/3c41ca67d2884cbe87829dfac62ca51e
Publikováno v:
Numerical Functional Analysis and Optimization. 42:1393-1409
We obtain an optimal approximation of the block orthogonal greedy algorithm with regard to g-frames in Hilbert spaces and prove an optimal approximation result analogous to the result obtained by E...
Publikováno v:
International Journal of Wavelets, Multiresolution and Information Processing. 21
We study the reconstruction of multidimensional digital signals in multirate digital signal processing. We show that the composition of sampling operator and interpolation operator forms the frame operator of multivariate discrete time wavelet (MDTW)
Publikováno v:
Poincare Journal of Analysis and Applications. :67-75
Publikováno v:
Journal of Mathematics, Vol 2021 (2021)
In this paper, we introduce and study woven frames in quaternionic Hilbert spaces. We also give some properties of woven frames and give some conditions on family of frames under which it is woven in quaternionic Hilbert spaces. Also, a characterizat
Autor:
Khole Timothy Poumai, S. K. Kaushik
Publikováno v:
Journal of Contemporary Mathematical Analysis. 51:41-49
A simple proof of the proposition, stated in ([2], p. 346), asserting that in Hilbert spaces a Riesz basis is greedy, is given. Also, greedy approximant for frames in Hilbert spaces is defined and it is shown that frames satisfy the quasi greedy and
Publikováno v:
2017 International Conference on Sampling Theory and Applications (SampTA).
A necessary and sufficient condition for the existence of an OPV frame has been given. Also, we obtain conditions under which an OPV frame is a Riesz (orthonormal) OPV frame. Further, we show that an OPV frame is a compression of Riesz OPV frame and
Autor:
S. K. Kaushik, Khole Timothy Poumai
Publikováno v:
2017 International Conference on Sampling Theory and Applications (SampTA).
We study the Orthogonal Greedy Algorithm (OGA) for frames in Hilbert spaces. Various approximate Parseval results for frames are also obtained. We also discuss the relationship between coherence and upper bound of frames. Finally, Lebesgue-type inequ
Autor:
Shah Jahan, Khole Timothy Poumai
Publikováno v:
International Journal of Wavelets, Multiresolution and Information Processing. 17:1850066
Gavruta [L. Gavruta, Frames for operators, Appl. Comput. Harmon. Anal. 32 (2012) 139–144] introduced the notion of [Formula: see text]-frame and atomic system for an operator [Formula: see text] in Hilbert spaces. We extend these notions to Banach