Transformation Operators for Perturbed Harmonic Oscillators


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The equation describing a perturbed harmonic oscillator is considered. Using transformation operators, we obtain representations of solutions of this equation with conditions at infinity. Estimates for the kernels of the transformation operators are obtained.

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G. Masmaliev

Baku State University; Institute of Mathematics and Mechanics

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Email: hacimasmaliyev@hotmail.com
阿塞拜疆, Baku, AZ-1148; Baku, AZ-1141

A. Khanmamedov

Baku State University; Institute of Mathematics and Mechanics; Azerbaycan University

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Email: agil_khanmamedov@yahoo.com
阿塞拜疆, Baku, AZ-1148; Baku, AZ-1141; Baku, AZ-1073

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