AN INTEGRATED FRACTIONAL FOURIER-TRANSFORM

[摘要] For 0 < alpha < 2, an integrated fractional Fourier transform F-alpha of Wiener type, closely related to fractional Levy Brownian motion X(alpha), is established. By means of this transform, the reproducing kernel Hilbert space and the covariance operator of X(alpha) are characterized and the connection between X(alpha) and the Laplacian is shown. As a further application a Blaschke-Fuglede-type theorem for a fractional Radon transform is derived.

[发布日期] 1994-09-30

[关键词] FOURIER TRANSFORMS;RADON TRANSFORMS;FRACTIONAL BROWNIAN MOTION