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Using methods from [9] we prove the almost everywhere convergence of the Cesàro means of Laguerre series associated with the system of Laguerre functions , n = 0,1,2,..., a ≥ 0. The novel ingredient we add to our previous technique is the weights theory. We also take the opportunity to comment and slightly improve on our results from [9].
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.
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