On spherical expansions of smooth $\gr{SU}{n}$-zonal functions on the unit sphere in $\NC^n$

Details On spherical expansions of smooth $\gr{SU}{n}$-zonal functions on the unit sphere in $\NC^n$ On spherical expansions of smooth $\gr{SU}{n}$-zonal functions on the unit sphere in $\NC^n$

2011-12-03

arxiv.org/abs/1112.0648v1

Mathematics

Classical Analysis and ODEs

12 pages

Scientific paper

We give a self-contained presentation of a novel approach to a construction of spherical harmonic expansions on the unit sphere in $\NC^n$. We derive a new formula for coefficients of the expansion of a smooth zonal function defined on the unit sphere and apply it in some special cases. The expansion for the Poisson--Szeg\"o kernel for the unit ball in $\NC^n$ obtained by our method coincides with the result obtained originally by G. Folland, and on the other hand disproves results recently presented in a paper of V.A. Menegatto et al..

Affiliated with

Also associated with

No associations

Rating

On spherical expansions of smooth $\gr{SU}{n}$-zonal functions on the unit sphere in $\NC^n$ 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 On spherical expansions of smooth $\gr{SU}{n}$-zonal functions on the unit sphere in $\NC^n$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On spherical expansions of smooth $\gr{SU}{n}$-zonal functions on the unit sphere in $\NC^n$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-697896