# Representation of spectra of algebras of block-symmetric analytic functions of bounded type

Keywords:
algebraic basis, block-symmetric polynomials, block-symmetric analytic functions, spectrum, symmetric intertwining, symmetric convolution

Published online:
2016-12-30

### Abstract

The paper contains a description of symmetric convolution of the algebra of block-symmetric analytic functions of bounded type on $\ell_{1}$-sum of the space $\mathbb{C}^{2}.$ We show that the specrum of such algebra does not coincide of point evaluation functionals and described characters of the algebra as functions of exponential type with plane zeros.

How to Cite

(1)

Kravtsiv V., Zagorodnyuk A.

*Representation of Spectra of Algebras of Block-Symmetric Analytic Functions of Bounded Type*. Carpathian Math. Publ. 2016,**8**(2), 263-271.