Function calculus on rings of multisets associated with symmetric and supersymmetric polynomials

Authors

  • I. Chernega Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova str., 79060, Lviv, Ukraine https://orcid.org/0000-0001-7258-2183
  • R. Dmytryshyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0003-2845-0137
  • V. Kravtsiv Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • T. Vasylyshyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0001-9055-6341
  • A. 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.17.1.187-199

Keywords:

symmetric function on Banach space, supersymmetric function, ring of multisets, function calculus
Published online: 2025-06-15

Abstract

We investigate symmetric and supersymmetric mappings on Banach spaces with symmetric bases, and rings of multisets related to these spaces. We establish some results about the extension of (super)symmetric mappings and describe continuous complex homomorphisms of the rings of multisets. Also, we study analytic mappings and function calculi on the rings.

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How to Cite
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Chernega, I.; Dmytryshyn, R.; Kravtsiv, V.; Vasylyshyn, T.; Zagorodnyuk, A. Function Calculus on Rings of Multisets Associated With Symmetric and Supersymmetric Polynomials. Carpathian Math. Publ. 2025, 17, 187-199.