The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Let be an irreducible Hermitian symmetric space of noncompact type. We study a -
invariant system of differential operators on called the Hua system. It was proved
by K. Johnson and A. Korányi that if is a Hermitian symmetric space of tube type,
then the space of Poisson-Szegö integrals is precisely the space of zeros of the Hua
system. N. Berline and M. Vergne raised the question about the nature of the common
solutions of the Hua system for Hermitian symmetric spaces of nontube type. In...
Let be the class of all continuous functions on the annulus in with twisted spherical mean whenever and satisfy the condition that the sphere and ball In this paper, we give a characterization for functions in in terms of their spherical harmonic coefficients. We also prove support theorems for the twisted spherical means in which improve some of the earlier results.
Currently displaying 1 –
4 of
4