Lozynska V. Functional calculus in dual spaces of functionals in classes of entire exponential type functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U000088

Thesis Registration Form

0404U000088.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

04-12-2003

Specialized Academic Board

К 35.051.07

Essay

The dissertation is devoted to the investigation of invariant subspaces properties of differential operators on Banach spaces of exponential type entire functions which are summable on the real subspaces. Such properties permit to induce structures of algebras in dual spaces of linear continuous functionals. In such algebras is constructed the functional calculus which are extensions of known operator Fourier transform (E. Hille, R. Phillips and V. Balakrishnan) for convolution measure algebras and Yu.I. Lubich and V.I. Matsaev calculus for generators nonquasianalytic groups in convolution algebras of exponential type entire functions.

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Files

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aref.doc

dis.pdf

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