Description of unconditional bases formed by values of the Dunkl kernels

作者：Gubreev G M; Levchuk V N

来源：Functional Analysis and Its Applications, 2015, 49(1): 64-66.

DOI：10.1007/s10688-015-0085-0

• Dunkl transform
• unconditional basis
• non-self-adjoint operator
• entire function

Unconditional bases of the form {d (alpha)(i lambda(n)l) : lambda(n) is an element of Lambda} in the space L-2(-a, a) with measure vertical bar x vertical bar(gamma) dx, gamma = 2 alpha + 1, are described. Here d(alpha)(ixt) is the Dunkl kernel determined by
d(alpha)(z) = 2(alpha)Gamma(alpha + 1)z(-alpha)(J(alpha)(z) + iJ(alpha+1)(z)), alpha > -1,
where J(alpha) is the Bessel function of the first kind.

• 出版日期2015-1