Heat kernels of the discrete Laguerre operators

Heat-diffusion maximal operators for Laguerre semigroups with negative parameters

∗Partially supported by Dirección General de Investigación, Ministerio de Ciencia y Tecnoloǵıa, BFM200204013-C02-02 and Proyecto IALE (UAM-Banco Santander Central-Hispano. First author was partially supported by CONICET and Universidad Nacional del Litoral, Argentina. Second author was partially supported by CONICET, Argentina. 2000 Mathematical Subject Classification:42A45, 42B15, 42B20, 42B25...

Laguerre Kernels –Based SVM for Image Classification

Support vector machines (SVMs) have been promising methods for classification and regression analysis because of their solid mathematical foundations which convey several salient properties that other methods hardly provide. However the performance of SVMs is very sensitive to how the kernel function is selected, the challenge is to choose the kernel function for accurate data classification. I...

Discrete analogues of the Laguerre Inequality

It is shown that ∑m j=−m(−1) f(x−j)(f(x+j) (m−j)!(m+j)! ≥ 0, m = 0, 1, ..., where f(x) is either a real polynomial with only real zeros or an allied entire function of a special type, provided the distance between two consecutive zeros of f(x) is at least √ 4− 6 m+2 . These inequalities are a surprisingly similar discrete analogue of higher degree generalizations of the Laguerre and Turan inequ...

The 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...

Laguerre polynomials and Perron-Frobenius operators