The Maslov index: A functional analytical definition and the spectral flow formula
From MaRDI portal
Publication:1267120
DOI10.3836/tjm/1270041982zbMath0932.37063OpenAlexW2074738724MaRDI QIDQ1267120
Bernhelm Booss-Bavnbek, Kenro Furutani
Publication date: 19 March 2000
Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3836/tjm/1270041982
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (47)
The Maslov index and spectral counts for linear Hamiltonian systems on \([0, 1\)] ⋮ A Morse Index Theorem for Elliptic Operators on Bounded Domains ⋮ Extensions of symmetric operators that are invariant under scaling and applications to indicial operators ⋮ The Maslov and Morse indices for Schrödinger operators on \([0,1\)] ⋮ Spectral flow inside essential spectrum ⋮ Hadamard-type formulas via the Maslov form ⋮ The Morse and Maslov indices for Schrödinger operators ⋮ The spectral flow for Dirac operators on compact planar domains with local boundary conditions ⋮ The Maslov index in weak symplectic functional analysis ⋮ The Maslov index for Lagrangian pairs on \(\mathbb{R}^{2 n}\) ⋮ Spectral analysis of \(\theta\)-periodic Schrödinger operators and applications to periodic waves ⋮ Edge states for second order elliptic operators in a channel ⋮ Relative oscillation theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter ⋮ The Calderón projector for fibred cusp operators ⋮ On a comparison principle and the uniqueness of spectral flow ⋮ Oscillation numbers for continuous Lagrangian paths and Maslov index ⋮ Instanton Floer homology with Lagrangian boundary conditions ⋮ Continuity of families of Calderón projections ⋮ The Maslov index and spectral counts for linear Hamiltonian systems on \(\mathbb{R}\) ⋮ Renormalized oscillation theory for linear Hamiltonian systems on \([0, 1\) via the Maslov index] ⋮ Realisations of elliptic operators on compact manifolds with boundary ⋮ The Maslov and Morse indices for system Schroedinger operators on \mathBB{R} ⋮ Computation of the Maslov index and the spectral flow via partial signatures. ⋮ METAPLECTIC REPRESENTATION, CONLEY–ZEHNDER INDEX, AND WEYL CALCULUS ON PHASE SPACE ⋮ Maslov-type index and brake orbits in nonlinear Hamiltonian systems ⋮ An index theorem for Schrödinger operators on metric graphs ⋮ Relative Morse index and multiple brake orbits of asymptotically linear Hamiltonian systems in the presence of symmetries ⋮ Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems ⋮ Connes–Chern character for manifolds with boundary and eta cochains ⋮ The Maslov index and the spectra of second order elliptic operators ⋮ On a formula for the spectral flow and its applications ⋮ The Maslov Index in Symplectic Banach Spaces ⋮ BASIC FUNCTIONAL ANALYSIS PUZZLES OF SPECTRAL FLOW ⋮ Perturbation of sectorial projections of elliptic pseudo-differential operators ⋮ A Morse-Smale index theorem for indefinite elliptic systems and bifurcation ⋮ A generalization of Yoshida-Nicolaescu theorem using partial signatures ⋮ Fredholm-Lagrangian-Grassmannian and the Maslov index ⋮ General spectral flow formula for fixed maximal domain ⋮ Multiple brake orbits in bounded convex symmetric domains ⋮ Cauchy data spaces and Atiyah-Patodi-Singer index on non-compact manifolds ⋮ A Sturm-Liouville theorem for quadratic operator pencils ⋮ Morse index theorem of Lagrangian systems and stability of brake orbit ⋮ The invertible double of elliptic operators ⋮ The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials ⋮ Limits of quantum graph operators with shrinking edges ⋮ The Calderón projection: New definition and applications ⋮ Counting spectrum via the Maslov index for one dimensional $\theta -$periodic Schrödinger operators
This page was built for publication: The Maslov index: A functional analytical definition and the spectral flow formula