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)

DOI10.1007/BF01223514zbMath0645.47003MaRDI QIDQ1103163

Abdelkader Intissar

Publication date: 1987

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

zbMATH Keywords

perturbation theoryspectral propertiesBargmann spaceGribov's reggeon field theory

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Axiomatic quantum field theory; operator algebras (81T05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Representation theory of linear operators (47A67) Miscellaneous applications of functional analysis (46N99)

Related Items (13)

Some new regularity properties for Gribov's operator ⋮ A note on the completeness of generalized eigenfunctions of the Hamiltonian of Reggeon field theory in Bargmann space ⋮ On regularized trace formula of Gribov semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann representation ⋮ On the chaoticity of some tensor product weighted backward shift operators acting on some tensor product Fock-Bargmann spaces ⋮ On chaoticity of the sum of chaotic shifts with their adjoints in Hilbert space and applications to some weighted shifts acting on some Fock-Bargmann spaces ⋮ Riesz basis of eigenvectors for analytic families of operators and application to a non-symmetrical Gribov operator ⋮ An elementary construction on nonlinear coherent states associated to generalized Bargmann spaces ⋮ 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 ⋮ A complete spectral analysis of generalized Gribov-Intissar's operator in Bargmann space ⋮ On an unconditional basis of generalized eigenvectors of the nonselfadjoint Gribov operator in Bargmann space ⋮ Density of generalized eigenvectors of a class of compact nonselfadjoint operators and applications

Cites Work

• Sur une valeur propre d'un opérateur
• Semigroups of linear operators and applications to partial differential equations
• Spectral theory of operators in Hilbert space
• Perturbation des transformations autoadjointes dans l'espace de Hilbert
• Perturbation theory of semi-bounded operators
• On a Hilbert space of analytic functions and an associated integral transform part I
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
• On the perturbation of continuous spectra
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