منابع مشابه
A Note on Summabilityof Multiple Laguerre
A simple structure of the multiple Laguerre polynomial expansions is used to study the Cess aro summability above the critical index for the convolution type Laguerre expansions. The multiple Laguerre polynomial expansion of an`1-radial function f 0 (jxj) is shown to be an`1-radial function that coincides with the Laguerre polynomial expansion of f 0 , which allows us to settle the problem of s...
متن کاملA Note on Summability of Multiple Laguerre Expansions
A simple structure of the multiple Laguerre polynomial expansions is used to study the Cesàro summability above the critical index for the convolution type Laguerre expansions. The multiple Laguerre polynomial expansion of an `1-radial function f0(|x|) is shown to be an `1-radial function that coincides with the Laguerre polynomial expansion of f0, which allows us to settle the problem of summa...
متن کاملA Note on the Span of Translations in L>
Suppose fELlH\Lp./is said to have the Wiener closure property,2 (C), if the translates of/span Lp. Since fEL1, the Fourier transform f is well defined. Let Z(f) be the set of zeros of/. One would like to reformulate (C) in terms of structural properties of the closed set Z(f). The problem seems quite difficult; in this note we show that (C) is nearly equivalent to a uniqueness property of Z(f)....
متن کاملA note on the optimal expansion of Volterra models using Laguerre functions
This work tackles the problem of expanding Volterra models using Laguerre functions. A strict global optimal solution is derived when each multidimensional kernel of the model is decomposed into a set of independent orthonormal bases, each of which parameterized by an individual Laguerre pole intended for representing the dominant dynamic of the kernel along a particular dimension. It is proved...
متن کامل1 Translations on a Lattice
We have seen that symmetry groups may have different implications on the physics. The first we have seen is an “internal symmetry”, global, manifested by multiplets of states which form the space acted upon by a representation of the group. Quite different is a local symmetry, which, although it is a much larger group, being a product of groups at each space-time point, does not have a correspo...
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ژورنال
عنوان ژورنال: Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial
سال: 2005
ISSN: 1781-6475,1781-6475
DOI: 10.2140/iig.2005.2.93