Pseudodifferential operators on periodic graphs
From MaRDI portal
Publication:421112
DOI10.1007/s00020-011-1924-xzbMath1263.47063arXiv1107.5208OpenAlexW1990491607MaRDI QIDQ421112
Steffen Roch, Vladimir S. Rabinovich
Publication date: 23 May 2012
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.5208
Pseudodifferential operators as generalizations of partial differential operators (35S05) Integral equations with kernels of Cauchy type (45E05) Pseudodifferential operators (47G30)
Related Items (6)
Mellin convolution operators in Bessel potential spaces ⋮ 2-3 paths in a lattice graph: random walks ⋮ Acoustic diffraction problems on periodic graphs ⋮ On boundary integral operators for diffraction problems on graphs with finitely many exits at infinity ⋮ Integral equations of diffraction problems with unbounded smooth obstacles ⋮ Effective numerical method of spectral analysis of quantum graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
- Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators
- Eigenfunction expansions for Schrödinger operators on metric graphs
- Carleson curves, Muckenhoupt weights, and Toeplitz operators
- Limit operators and their applications in operator theory
- Quantum graphs: an introduction and a brief survey
- Algebras of singular integral operators on compound contours with nodes that are logarithmic whirl points
- Quantum graphs: I. Some basic structures
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
- The essential spectrum of Schrödinger operators on lattices
- Quantum Graphs and Their Applications
- Essential spectra of difference operators on -periodic graphs
This page was built for publication: Pseudodifferential operators on periodic graphs
