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

  • 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
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
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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.

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