Yu F. KOROBEINIK

4155

Absolutely representing systems and convolution operators in the complex domain

Bu çalışmada bazı lineer operatörlerin özdeğerlerinden oluşan mutlak temsil sistemleri kullanılarak konvolosyon operatörlerinin çekirdekleri incelenmiş ve bunların bazı uygulamaları verilmiştir.

Kompleks düzlemde kovolosyon operatörleri ve mutlak temsil sistemleri

The author suggests a method of characterizing of the kernel of a convolution-type operator. The method is based on the exact description of nontrivial expansions of zero of an absolutely representing system consisting of eigen vectors of some linear operator with continuous spectrum. The method suggested in the paper is applied to the characterization of the kernel of the convolution-type operator defined on some space of entire functions and to the factorization of such an operator.
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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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Absolutely representing systems and convolution operators in the complex domain

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