Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator \( - {d \over {dx}}D\left( x \right){d \over {dx}}\)


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We express the asymptotic eigenfunctions of the operator \( - {d \over {dx}}D\left( x \right){d \over {dx}}\) that degenerates at the endpoints of an interval in terms of the modified Maslov canonical operator introduced in our previous studies.

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S. Dobrokhotov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Moscow Institute of Physics and Technology

Autor responsável pela correspondência
Email: dobr@ipmnet.ru
Rússia, pr. Vernadskogo 101-1, Moscow, 119526; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701

V. Nazaikinskii

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences; Moscow Institute of Physics and Technology

Autor responsável pela correspondência
Email: nazaikinskii@googlemail.com
Rússia, pr. Vernadskogo 101-1, Moscow, 119526; Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141701

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