Nonlocal Operational Calculi for Dunkl Operators

Details Nonlocal Operational Calculi for Dunkl Operators Nonlocal Operational Calculi for Dunkl Operators

2009-03-09

arxiv.org/abs/0903.1609v1

SIGMA 5 (2009), 030, 16 pages

Mathematics

Classical Analysis and ODEs

Scientific paper

10.3842/SIGMA.2009.030

The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied. An operational calculus of Mikusinski type is developed. In the frames of this operational calculi an extension of the Heaviside algorithm for solution of nonlocal Cauchy boundary value problems for Dunkl functional-differential equations $P(D_k)u=f$ with a given polynomial $P$ is proposed. The solution of these equations in mean-periodic functions reduces to such problems. Necessary and sufficient condition for existence of unique solution in mean-periodic functions is found.

Affiliated with

Also associated with

No associations

Rating

Nonlocal Operational Calculi for Dunkl Operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlocal Operational Calculi for Dunkl Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlocal Operational Calculi for Dunkl Operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96192