Representation of spectra of algebras of block-symmetric analytic functions of bounded type
DOI:
https://doi.org/10.15330/cmp.8.2.263-271Keywords:
algebraic basis, block-symmetric polynomials, block-symmetric analytic functions, spectrum, symmetric intertwining, symmetric convolutionAbstract
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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Published
2016-12-30
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(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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Scientific articles