On a Riesz basis of exponentials related to the eigenvalues of an analytic operator and application to a non-selfadjoint problem deduced from a perturbation method for sound radiation

DOI10.1063/1.4826354zbMath1302.42016OpenAlexW1984113950MaRDI QIDQ5410932

Ines Feki, Aref Jeribi, Hanen Ellouz

Publication date: 17 April 2014

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

Full work available at URL: https://doi.org/10.1063/1.4826354

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Spectrum, resolvent (47A10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (6)

Non-orthogonal fusion frames of an analytic operator and application to a one-dimensional wave control system ⋮ On a Characterization of Frames for Operators in Quaternionic Hilbert Spaces ⋮ Riesz basis of eigenvectors for analytic families of operators and application to a non-symmetrical Gribov operator ⋮ Dual and canonical dual \(K\)-Bessel sequences in quaternionic Hilbert spaces ⋮ Some properties of \(K\)-frames in quaternionic Hilbert spaces ⋮ Frame of exponentials related to analytic families operators and application to a non-self adjoint problem of radiation of a vibrating structure in a light fluid

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a Schauder basis related to the eigenvectors of a family of non-selfadjoint analytic operators and applications
• On an unconditional basis of generalized eigenvectors of an analytic operator and application to a problem of radiation of a vibrating structure in a light fluid
• On an Riesz basis of generalized eigenvectors of the nonselfadjoint problem deduced from a perturbation method for sound radiation by a vibrating plate in a light fluid
• Frames containing a Riesz basis and approximation of the frame coefficients using finite-dimensional methods
• Some trigonometrical inequalities with applications to the theory of series
• On a Riesz basis of eigenvectors of a nonself-adjoint analytic operator and applications
• Riesz Basis Property of Families of Nonharmonic Exponentials and Application to a Problem of a Radiation of a Vibrating Structure in a Light Fluid
• Perturbation Method For Sound Radiation By A Vibrating Plate In A Light Fluid: Comparison With The Exact Solution
• Uniqueness for near-constant data in fourth-order inverse eigenvalue problems

This page was built for publication: On a Riesz basis of exponentials related to the eigenvalues of an analytic operator and application to a non-selfadjoint problem deduced from a perturbation method for sound radiation