Myaus O. Operator calculus on Wiener algebras of functions of infinite numbers of variables.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U004504

Thesis Registration Form

0413U004504.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

29-05-2013

Specialized Academic Board

К 20.051.09

Kolomyia Educational-Scientific Institute The Vasyl Stefanyk Precarpathian National University

Essay

For generators of isometric strong continuous operator groups, defined on nuclear Wiener algebras of analytic complex functions on a unit Banach ball, a functional calculus is constructed. Its symbol algebra consists of Fourier-images of exponential type distributions. Such convolution algebras of continuous functionals has differential properties, which classical operator calculus hasn't.

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Files

aref.doc

dis.pdf

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