Results 201 to 210 of about 30,121 (246)
Riesz theory and Fredholm determinants in Banach algebras
Manas Majakwane Bapela
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Fredholm Theory for Quasiclassical Scattering
Physical Review Letters, 1995The quasiclassical approximation to the scattering amplitude is expressed, for the first time, as a ratio of absolutely convergent series. We exploit the Fredholm theory of integral equations and the result is shown to be a generalization and simplification of techniques used in resumming the Gutzwiller trace formula. A numerical example is given which
Georgeot, B., Prange, R. E.
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Mathematical Proceedings of the Royal Irish Academy, 2013
The author provides examples illustrating various difficulties in extending the algebraic Fredholm theory developed in the monograph by \textit{B. A. Barnes} et al. [Riesz and Fredholm theory in Banach algebras. Boston-London-Melbourne: Pitman Advanced Publishing Program (1982; Zbl 0534.46034)] from the setting of primitive Banach algebras to that of ...
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The author provides examples illustrating various difficulties in extending the algebraic Fredholm theory developed in the monograph by \textit{B. A. Barnes} et al. [Riesz and Fredholm theory in Banach algebras. Boston-London-Melbourne: Pitman Advanced Publishing Program (1982; Zbl 0534.46034)] from the setting of primitive Banach algebras to that of ...
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2021
This chapter is concerned with sc-Fredholm theory, which is the main topic of this book. We have discussed sc-Fredholm section functors in great detail in the context of strong bundles over ep-groupoids and we shall carry the ideas over to the categorical context.
Helmut Hofer +2 more
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This chapter is concerned with sc-Fredholm theory, which is the main topic of this book. We have discussed sc-Fredholm section functors in great detail in the context of strong bundles over ep-groupoids and we shall carry the ideas over to the categorical context.
Helmut Hofer +2 more
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Continuous Fredholm Theory, Regularities and Semiregularities
Complex Analysis and Operator Theory, 2021This paper is a well-written, well-organized and well-illustrated. It makes a valuable contribution in the study of the index on families of self-adjoint Fredholm operators. The author extends the notion of the index on Fredholm operators to the situation of families in which the parameter space is a finite disjoint union of compact connected spaces ...
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T-Matrix Analyticity Using Fredholm Theory
Journal of Mathematical Physics, 1971The behavior of the Regge pole residues for the T matrix analyzed into partial waves is studied as a function of E for scattering from a Yukawa potential. Using a variational formulation of Fredholm theory, we explicitly show that the residues on the energy shell have no branch cuts in the left-hand E plane.
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Fredholm theory of Heitler’s integral equation
Acta Physica Academiae Scientiarum Hungaricae, 1954The Fredholm theory of non-homogeneous integral equation has been applied to Heitler’s integral equation for radiation damping in scattering processes which are beset with divergence difficulties. The general convergence of the solution has been discussed, from the mathematical point of view.
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