Functional-difference equations and their link with perturbations of the Mehler operator

DOI10.1134/S1061920822030062zbMath1497.35325OpenAlexW4295135009WikidataQ114075037 ScholiaQ114075037MaRDI QIDQ2674917

Mikhail A. Lyalinov

Publication date: 14 September 2022

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920822030062

zbMATH Keywords

meromorphic potentialRobin Laplacians in wedge-or cone-shaped domainssecond order functional-difference equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Linear difference operators (47B39) General theory of functional equations and inequalities (39B05) Applications of difference equations (39A60)

Related Items

Localized waves propagating along an angular junction of two thin semi-infinite elastic membranes terminating an acoustic medium

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A commutator method for the diagonalization of Hankel operators
• Mathematical analysis of a simple model for the stripping reaction
• A comment on eigenfunctions and eigenvalues of the Laplace operator in an angle with Robin boundary conditions
• An exact renormalization formula for the Maryland model
• Schrödinger operators withδ-interactions supported on conical surfaces
• Schrödinger operators with δ- and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
• On the Discrete Spectrum of Robin Laplacians in Conical Domains
• Passage through a potential barrier and multiple wells
• Eigenvalues of Robin Laplacians in infinite sectors
• Eigenoscillations in an angular domain and spectral properties of functional equations
• Functional difference equations and eigenfunctions of a Schrödinger operator with δ ′ −interaction on a circular conical surface