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Information × Registration Number 0119U100063, ( 0222U003503  ) R & D request Title Algebras of symmetric analytic functions on Banach spaces. Algebraic and analytic structures on the spectra Head Zahorodniuk Andrii V., Доктор фізико-математичних наук Registration Date 15-01-2019 Organization Vasyl Stefanyk Precarpathian National University popup.description1 Describe the spectrum, analytic and algebraic structures on the spectrum for an algebra of entire analytic functions of bounded type on a complex Banach space. In particular, we consider in detail the case of algebras of symmetric analytic functions on spaces with a symmetric structure (spaces with a symmetric basis, or invariantly interchangeable spaces). Set the conditions for the spectrum of this algebra to be presented as an analytic variety such that this algebra will be isomorphic to the algebra of all analytic functions on this variety. To study the isomorphisms of such algebras, their dynamics, to find conditions for the continuity of differentiations. Link with the well-known Michael problem of the continuity of complex homomorphisms on Frechet algebras. Find applications to quantum mechanics problems. popup.nrat_date 2024-12-10 Close