Let J denote the Bessel function of order . For >-1, the system x-/2-1/2J+2n+1(x1/2, n=0, 1, 2,..., is orthogonal on L2((0, ), xdx). In this paper we study the mean convergence of Fourier series with respect to this system for functions whose Hankel transform is supported on [0, 1]. © 1994 Springer-Verlag New York Inc
In the context of the Dunkl transform a complete orthogonal system arises in a very natural way. Thi...
Convergence of the fourier series with respect to several orthogonal systems abstract. Given an orth...
We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal sy...
Abstract. Let Jµ denote the Bessel function of order µ. For α> −1, the system x−α/2−1/2Jα+2n+1(x1...
AbstractLet Jμ denote the Bessel function of order μ. The functions x−α/2−β/2−1/2Jα+β+2n+1(x1/2), n=...
Let J denote the Bessel function of order . The functions x-/2-/2-1/2J++2n+1(x 1/2), n=0,1,2,..., fo...
Let Jv be the Bessel function of order v. For > -1, the functions x--1 J+2n+1(x), n = 0, 1, 2 ..., ...
Let J denote the Bessel function of order . The functions x--1 J+2n+1(x), n = 0, 1, 2, ..., form an ...
For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhe...
Let J denote the Bessel function of order . The system A formula is presented. with n = 0, 1,..., > ...
AbstractQuestions of mean convergence of classical orthogonal expansions and rates of divergence of ...
AbstractLet Jμ denote the Bessel function of order μ. The systemjnα={jnα(s)}s⩾1=2α+2n+1Jα+2n+1(ps)ap...
AbstractFor most orthogonal systems and their corresponding Fourier series, the study of the almost ...
AbstractIn the context of the Dunkl transform a complete orthogonal system arises in a very natural ...
Let ν ≥ 0 be a real number and set, J(x) = cνx^1/2-νJ ν-1/2^(x) Where cν = 2^ν-1/2Γ(ν+1/2) and Jν-1/...
In the context of the Dunkl transform a complete orthogonal system arises in a very natural way. Thi...
Convergence of the fourier series with respect to several orthogonal systems abstract. Given an orth...
We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal sy...
Abstract. Let Jµ denote the Bessel function of order µ. For α> −1, the system x−α/2−1/2Jα+2n+1(x1...
AbstractLet Jμ denote the Bessel function of order μ. The functions x−α/2−β/2−1/2Jα+β+2n+1(x1/2), n=...
Let J denote the Bessel function of order . The functions x-/2-/2-1/2J++2n+1(x 1/2), n=0,1,2,..., fo...
Let Jv be the Bessel function of order v. For > -1, the functions x--1 J+2n+1(x), n = 0, 1, 2 ..., ...
Let J denote the Bessel function of order . The functions x--1 J+2n+1(x), n = 0, 1, 2, ..., form an ...
For most orthogonal systems and their corresponding Fourier series, the study of the almost everywhe...
Let J denote the Bessel function of order . The system A formula is presented. with n = 0, 1,..., > ...
AbstractQuestions of mean convergence of classical orthogonal expansions and rates of divergence of ...
AbstractLet Jμ denote the Bessel function of order μ. The systemjnα={jnα(s)}s⩾1=2α+2n+1Jα+2n+1(ps)ap...
AbstractFor most orthogonal systems and their corresponding Fourier series, the study of the almost ...
AbstractIn the context of the Dunkl transform a complete orthogonal system arises in a very natural ...
Let ν ≥ 0 be a real number and set, J(x) = cνx^1/2-νJ ν-1/2^(x) Where cν = 2^ν-1/2Γ(ν+1/2) and Jν-1/...
In the context of the Dunkl transform a complete orthogonal system arises in a very natural way. Thi...
Convergence of the fourier series with respect to several orthogonal systems abstract. Given an orth...
We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal sy...
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