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Almost everywhere summability of Laguerre series. II

K. Stempak (1992)

Studia Mathematica

Using methods from [9] we prove the almost everywhere convergence of the Cesàro means of Laguerre series associated with the system of Laguerre functions $L_{n}^{a} (x) = {(n! / Γ (n + a + 1))}^{1 / 2} e^{- x / 2} x^{a / 2} L_{n}^{a} (x)$ , n = 0,1,2,..., a ≥ 0. The novel ingredient we add to our previous technique is the $A_{p}$ weights theory. We also take the opportunity to comment and slightly improve on our results from [9].

An algebraic construction of discrete wavelet transforms

Jaroslav Kautský (1993)

Applications of Mathematics

Discrete wavelets are viewed as linear algebraic transforms given by banded orthogonal matrices which can be built up from small matrix blocks satisfying certain conditions. A generalization of the finite support Daubechies wavelets is discussed and some special cases promising more rapid signal reduction are derived.

Displaying 21 – 28 of 28

Almost everywhere summability of Laguerre series. II

An algebraic construction of discrete wavelet transforms

An algorithm for nonharmonic signal analysis using Dirichlet series on convex polygons.

An inequality for bi-orthogonal pairs.

Analyse de Fourier adaptée à une partition par des cubes de Whitney

Analyse multi-résolution bi-orthogonale sur l'intervalle et applications

Antisymmetric orbit functions.

Approximation of Gaussian by scaling functions and biorthogonal scaling polynomials.

Currently displaying 21 – 28 of 28