On an unconditional basis of generalized eigenvectors of the nonselfadjoint Gribov operator in Bargmann space

DOI10.1006/jmaa.1998.6258zbMath0959.47013OpenAlexW2015674011MaRDI QIDQ1283119

Aref Jeribi, Marie-Thérèse Aimar, Abdelkader Intissar

Publication date: 20 April 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6258

zbMATH Keywords

unconditional basisdiagonalizationsquare rootBargmann spaceGribov operatorstrong interactionssystem of generalized eigenvectorsBose annihilation and creation operatorsRegge fields theory

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (13)

On a Riesz basis of eigenvectors of a nonself-adjoint analytic operator and applications ⋮ On an unconditional basis with parentheses for generalized subordinate perturbations and application to Gribov operators in Bargmann space ⋮ 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 regularized trace formula of Gribov semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann representation ⋮ Riesz basis of eigenvectors for analytic families of operators and application to a non-symmetrical Gribov operator ⋮ Diagonalization of non-selfadjoint analytic semigroups and application to the shape memory alloys operator ⋮ On the Riesz basis of a family of analytic operators in the sense of Kato and application to the problem of radiation of a vibrating structure in a light fluid ⋮ Approximation of the semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann space ⋮ Regularized trace formula of magic Gribov operator on Bargmann space ⋮ 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 ⋮ Expansion of Solution in Terms of Generalized Eigenvectors for a Rectilinear Transport Equation ⋮ On a Riesz basis of finite-dimensional invariant subspaces and application to Gribov operator in Bargmann space

Cites Work

• Sur une valeur propre d'un opérateur
• Semigroups of linear operators and applications to partial differential equations
• Étude spectrale d'une famille d'opérateurs non-symétriques intervenant dans la théorie des champs de reggeons. (Spectral theory of a family of non symmetric operators, intervening in reggeon field theory)
• Multiple completeness of a system of characteristic and adjoined elements of a polynomial operator bundle and multiple decompositions with respect to this system
• Scattering analysis of the cubic Heun operator in Bargmann space
• Density of generalized eigenvectors of a class of compact nonselfadjoint operators and applications
• Some new regularity properties for Gribov's operator
• Critères de complétude des vecteurs propres généralisés d'une classe d'opérateurs non auto-adjoints compacts ou à résolvante compacte et applications
• REMARKS ON A HILBERT SPACE OF ANALYTIC FUNCTIONS
• Summability of series in the principal vectors of non-self adjoint operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On an unconditional basis of generalized eigenvectors of the nonselfadjoint Gribov operator in Bargmann space