Yazar "Kumar, Raj" için listeleme
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Matrix transform of irregular weyl-heisenberg wave packet frames for L² (R)
Kumar, Raj; Sah, Ashok Kumar (Işık University Press, 2017)Cordoba and Fefferman [4] introduced wave packet systems by applying certain collections of dilations, modulations and translations to the Gaussian function in the study of some classes of singular integral operators. In ... -
Riesz MRA of dyadic dilations and the corresponding Riesz wavelet on LCA groups
Kumar, Raj; Satyapriya; Singh, Mansimran (Işık University Press, 2023-01)We have explored the concept of Riesz multiresolution analysis (Riesz MRA) on a locally compact Abelian group G, and have done a detailed study of the methods of construction of a Riesz wavelet from the given Riesz MRA. ... -
Upper bound for third Hankel determinant of a class of analytic functions
Verma, Sarika; Kumar, Raj; Murugusundaramoorthy, Gangadharan (Işık University Press, 2023-10)We establish upper bounds for second Hankel determinant, the Fekete-Szegö functional and third Hankel determinant for normalized analytic functions f ? W?(?, ?),W?(?, ?) = { f : Re ((1 ? ? + 2?)f(z)/z+ (? ? 2?)f?(z) + ... -
Wavelet packets in weighted Sobolev space
Kumar, Raj; Chauhan, Manish (Işık University Press, 2020)We perform some splitting tricks over wavelets to construct basic wavelet packets in weighted Sobolev space. MRA based wavelet packet functions and their orthogonality at different levels in weighted Sobolev space are ...