Wavelet packets on locally compact abelian groups.
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Shah, Firdous Ahmad, Wahid, Abdul (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Abdolaziz Abdollahi, Jahangir Cheshmavar, Mohsen Taghavi (2011)
Open Mathematics
In this paper, we consider the well-known Rudin-Shapiro polynomials as a class of constant multiples of low-pass filters to construct a sequence of compactly supported wavelets.
Peter Knopf (1980)
Studia Mathematica
Edmund Hlawka (1979)
Monatshefte für Mathematik
Hans P. Heinig, Alois Kufner (1993)
Czechoslovak Mathematical Journal
María Silvina Riveros, Marta Urciuolo (2005)
Czechoslovak Mathematical Journal
In this paper we study integral operators of the form
Chang-Pao Chen, Ming-Chuan Chen (2003)
Studia Mathematica
Let with for all j,k ≥ 1. We estimate the integral in terms of the coefficients , where α, β ∈ ℝ and ϕ: [0,∞] → [0,∞]. Our results can be regarded as the trigonometric analogues of those of Mazhar and Móricz [MM]. They generalize and extend Boas [B, Theorem 6.7].
R. Macías, C. Segovia, J. L. Torrea (2006)
Studia Mathematica
We obtain weighted boundedness, with weights of the type , δ > -1, for the maximal operator of the heat semigroup associated to the Laguerre functions, , when the parameter α is greater than -1. It is proved that when -1 < α < 0, the maximal operator is of strong type (p,p) if p > 1 and 2(1+δ)/(2+α) < p < 2(1+δ)/(-α), and if α ≥ 0 it is of strong type for 1 < p ≤ ∞ and 2(1+δ)/(2+α) < p. The behavior at the end points of the intervals where there is strong type is studied...
K. Kazarian (1987)
Studia Mathematica
Chao Wang, Yongkun Li (2013)
Annales Polonici Mathematici
We propose a concept of weighted pseudo almost automorphic functions on almost periodic time scales and study some important properties of weighted pseudo almost automorphic functions on almost periodic time scales. As applications, we obtain the conditions for the existence of weighted pseudo almost automorphic mild solutions to a class of semilinear dynamic equations on almost periodic time scales.
Shangquan Bu (2013)
Studia Mathematica
Using known results on operator-valued Fourier multipliers on vector-valued function spaces, we give necessary or sufficient conditions for the well-posedness of the second order degenerate equations (P₂): d/dt (Mu’)(t) = Au(t) + f(t) (0 ≤ t ≤ 2π) with periodic boundary conditions u(0) = u(2π), (Mu’)(0) = (Mu’)(2π), in Lebesgue-Bochner spaces , periodic Besov spaces and periodic Triebel-Lizorkin spaces , where A and M are closed operators in a Banach space X satisfying D(A) ⊂ D(M). Our results...
Danilov, L.I. (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
Józef Burzyk (1989)
Studia Mathematica
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