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

Abstract

The paper contains a description of a 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 we describe characters of the algebra as functions of exponential type with plane zeros.

Authors and Affiliations

V. Kravtsiv, A. V. Zagorodnyuk

Keywords

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  • EP ID EP327050
  • DOI 10.15330/cmp.8.2.263-271
  • Views 107
  • Downloads 0

How To Cite

V. Kravtsiv, A. V. Zagorodnyuk (2016). Representation of spectra of algebras of block-symmetric analytic functions of bounded type. Карпатські математичні публікації, 8(2), 263-271. https://europub.co.uk/articles/-A-327050