On uniform convergence of the inverse Fourier transform for differential equations and Hamiltonian systems with degenerating weight

DOI10.1002/mana.202000062arXiv2002.02502OpenAlexW3005138895WikidataQ114235668 ScholiaQ114235668MaRDI QIDQ6093881

Vadim Mogilevskii

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02502

zbMATH Keywords

uniform convergencespectral functiongeneralized Fourier transformpseudospectral function

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Linear relations (multivalued linear operators) (47A06) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Unnamed Item
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• Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions
• Pointwise convergence of eigenfunction expansions associated with ordinary differential operators
• Spectral theory of ordinary differential operators
• On Titchmarsh-Weyl \(M(\lambda)\)-functions for linear Hamiltonian system
• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• On generalized resolvents and \(Q\)-functions of symmetric linear relations (subspaces) in Hilbert space
• Spectral and pseudospectral functions of various dimensions for symmetric systems
• Compressions of self-adjoint extensions of a symmetric operator and M.G. Krein's resolvent formula
• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• On compressions of self-adjoint extensions of a symmetric linear relation
• A Prüfer angle approach to semidefinite Sturm-Liouville problems with coupling boundary conditions
• On a formula of the generalized resolvents of a nondensely defined Hermitian operator
• Oscillation of Eigenfunctions of Weighted Regular Sturm-Liouville Problems
• Pointwise convergence of eigenfunction expansions, associated with a pair of ordinary differential expressions
• Boundary relations and their Weyl families
• AN EXPANSION THEOREM FOR AN EIGENVALUE PROBLEM WITH EIGENVALUE PARAMETER IN THE BOUNDARY CONDITION
• On the spectral functions of the string
• 1.—On Square-integrable Solutions of Symmetric Systems of Differential Equations of Arbitrary Order.
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• On the Titchmarsh‐Weyl Coefficients for Singular S‐Hermitian Systems I
• Boundary pairs and boundary conditions for general (not necessarily definite) first‐order symmetric systems with arbitrary deficiency indices
• INTEGRAL CHARACTERISTICS OF THE GROWTH OF SPECTRAL FUNCTIONS FOR GENERALIZED SECOND ORDER BOUNDARY PROBLEMS WITH BOUNDARY CONDITIONS AT A REGULAR END
• Form Domains and Eigenfunction Expansions for Differential Equations with Eigenparameter Dependent Boundary Conditions
• Spectral theory of operator measures in Hilbert space
• COMPATIBILITY OF THE COEFFICIENTS OF A GENERALIZED SECOND ORDER LINEAR DIFFERENTIAL EQUATION
• Preface

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