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

Authors

  • V.V. Kravtsiv Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • A.V. Zagorodnyuk Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0002-5554-4342
https://doi.org/10.15330/cmp.8.2.263-271

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.

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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, 263-271.

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