منابع مشابه
Best Approximations for the Laguerre-type Weierstrass Transform on [0,∞[×r
For α = n− 1, n ∈ N\{0}, the operator D2 is the radial part of the sub-Laplacian on the Heisenberg groupHn (see [2, 4]). These operators have gained considerable interest in various fields of mathematics (see [1, 4]). They give rise to generalizations of many two-variable analytic structures like the Laguerre-Fourier transform L, the Laguerre-convolution product, the dispersion and the Gaussian...
متن کاملBest approximations for the Laguerre-type Weierstrass transform on [0, ∞[×ℝ
For α = n− 1, n ∈ N\{0}, the operator D2 is the radial part of the sub-Laplacian on the Heisenberg groupHn (see [2, 4]). These operators have gained considerable interest in various fields of mathematics (see [1, 4]). They give rise to generalizations of many two-variable analytic structures like the Laguerre-Fourier transform L, the Laguerre-convolution product, the dispersion and the Gaussian...
متن کاملRational Transform Approximation via the Laguerre Spectrum
In t roduc t ion An important class of functions from the point of view of signal representation and approximation is the class with n th order rational Laplace transforms. These functions arise naturally in such fields as model identification and timedomain synthesis. The problem of finding the best n th order rational function to represent a given time function is, therefore, important; unfor...
متن کاملThe discrete Laguerre transform: derivation and applications
The discrete Laguerre transform (DLT) belongs to the family of unitary transforms known as Gauss-Jacobi transforms. Using classical methodology, the DLT is derived from the orthonormal set of Laguerre functions. By examining the basis vectors of the transform matrix, the types of signals that can be best represented by the DLT are determined. Simulation results are used to compare the DLT's e e...
متن کاملThe Laguerre Transform , Part I : Theory
THE LAGUERRE TRANSFORM, PART I : THEORY Ushio Sum ita University of Rochester Masaaki Kijima Tokyo Institute of Technology (Received June 8,1987; Revised March 3,1988) The Laguerre transform, introduced by Keilson and Nunn (1979), Keilson, Nunn and Sumita (1981) and further studied by Sumita (1981), provides an algorithmic framework for the computer evaluation of repeated combinations of contin...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1971
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.68.3.554