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infinite matrices, limit operators, collective compactness, Fredholm. operators, spectral theory. viii. ... overcome. The matrix [A] that corresponds to an operator A BDO(Y ) now hasoperator entries aij L(U ) which are infinite dimensional operators

26 Jul 2013: The slenderbody theory generates a system of Fredholm integral equa-tions of the first kind which are in general susceptible tooscillatory behavior or slow convergence in their numericalsolution, particularly when the ... I, andthe local flagellum

Remark 3.1 In the classical theory of optimal design, convex optimalitycriteria are almost always considered. ... H(u,v) =1. |u v|α(1 v2)(1α)/2.(4.9). It appears in the theory of Fredholm-Volterra integral equations of the firstkind with special kernel,

26 Jul 2013: J. Fluid Mech. (2012), vol. 700, pp. 105–147. c Cambridge University Press 2012 105doi:10.1017/jfm.2012.101. Hydrodynamics of self-propulsion near aboundary: predictions and accuracy of. far-field approximationsSaverio E. Spagnolie1,2† and Eric

The following statements are routine, due to the direct integral ex-pansion (4.17) of the operator, perturbation theory [157], and somestandard properties of analytic Fredholm operator-functions (e.g., ... An easier statement, without estimates on growth

15 Jun 2020: An example of this in spectral theory is the proof of the Dirac–Schwinger conjecture. ... This is not the case. Answering Question I above be-comes an infinite classification theory.

31 Oct 2012: 1765.2. Breakdown of singular perturbation theory for a weakly curved pulled front. ... The theory of front propagation has had a long and twisted but interesting history,with essential contributions coming from diDerent directions.