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Dissipative Operators and Quasianalytic and Integral Vectors

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Abstract

Dissipative operators and quasianalytic vectors are considered. A relationship between quasianalytic vectors and maximum dissipative operators is established. For a homogeneous evolutionary equation in the Banach space, a condition for the existence of a solution in the entire complex plane is found.

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References

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Authors and Affiliations

  1. The State Lviv Ivan Franko University, Ukraine

    O. L. Horbachuk

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  1. O. L. Horbachuk
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Horbachuk, O.L. Dissipative Operators and Quasianalytic and Integral Vectors. Journal of Mathematical Sciences 107, 3555–3557 (2001). https://doi.org/10.1023/A:1011929804387

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  • DOI: https://doi.org/10.1023/A:1011929804387

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