Определение Самоподобной Функции В Квазибанаховых Пространствах

Тихонов, Юлий Васильевич; Tikhonov, Yuliy Vasilevich

doi:10.4213/mzm12509

Matematicheskie Zametki

2019

DOI: 10.4213/mzm12509

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Определение Самоподобной Функции В Квазибанаховых Пространствах

Юлий Васильевич Тихонов¹,

Yuliy Vasilevich Tikhonov

Abstract: Определение самоподобной функции распространено на квазибанаховы лебеговы пространства. Приведено достаточное условие того, что функция с данными параметрами самоподобия лежит в некотором таком пространстве. Библиография: 2 названия.

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Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues

Sharov

Sheipak

2022

St. Petersburg Math. J.

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The oscillation equation for a singular string with discrete weight generated by a self-similar n n -link multiplier in the Sobolev space with a negative smoothness index is considered. It is shown that in the case of a noncompact multiplier, the string problem is equivalent to the spectral problem for an ( n − 1 ) (n-1) -periodic Jacobi matrix. In the case of n = 3 n=3 , a complete description of the spectrum of the problem is given, and a criterion for emergence of an eigenvalue in a gap of the continuous spectrum is obtained.

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Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues

Sharov

Sheipak

2022

St. Petersburg Math. J.

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show abstract

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Определение Самоподобной Функции В Квазибанаховых Пространствах

Cited by 1 publication

References 2 publications

Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues

Weighted string equation where the weight is a noncompact multiplier: continuous spectrum and eigenvalues

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