RUS  ENG
Full version
JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2021 Volume 506, Pages 98–112 (Mi znsl7147)

Long-time evolution described by the unitary group of the Mehler operator

M. A. Lyalinov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences

Abstract: In this work the long-time asymptotics of the solution to the Cauchy problem is described by means of the evolution unitary group of the self-adjoint Mehler operator. Spectral analysis of the latter operator is also discussed.

Key words and phrases: Mehler operator, spectral properties, asymptotics, evolution operator.

UDC: 517.9

Received: 30.10.2021


 English version:
Journal of Mathematical Sciences (New York), 2024, 283:4, 562–572


© Steklov Math. Inst. of RAS, 2025