Algebraic and geometric structure of linear filters and scattering systems. I

DOI10.1063/1.524788zbMath0483.93007OpenAlexW2057541790MaRDI QIDQ3942797

Robert Hermann

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.524788

zbMATH Keywords

Grassmanniansdistributed parameter systemsscattering theoryfrequency responsegeometric system theoryapplications of Lie groupsalgebro- geometric invariantsanalytic frequency variety

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) General systems (93A10)

Related Items

Quantum mechanics and geometric analysis on manifolds

Cites Work

• The inverse scattering problem when the reflection coefficient is a rational function
• Applications of Algebraic Geometry to Systems Theory: The M<scp>c</scp>Millan Degree and Kronecker Indices of Transfer Functions as Topological and Holomorphic System Invariants
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Properties of the 𝑆-matrix of the one-dimensional Schrödinger equation