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22 May 2024: Analysis of collocation methods for Fredholm integral equations. In collaboration with Prof. ... Convergence analysis of least-squares oversampled collocation methods for Fredholm integral equations.

I will survey various results on applications and extensions of Hofer-Wysocki-Zehnder's polyfold theory: - fiber products of polyfold Fredholm sections - equivariant transversality - existence and obstructions - equivariant fundamental class -

regular singularities by using their Fredholm determinant representation [8], and show that they. ... describe the pants decomposition, and briefly recap the construction of the Fredholm deter-.

30 Aug 2019: Part III, Paper 15. 3. 3. (i) Define Fredholm map, Fredholm operator, Fredholm index. ... iii) Prove that s As is Fredholm.[You may quote the Closed Range Lemma without proof].

2 Jun 2015: O.F. BANDTLOW, I. ANTONIOU and Z. SUCHANECKI "Resonances of Dynamical Systems and Fredholm-Riesz Operators on Rigged Hilbert Spaces" Computers & Mathematics with Applications 34, 95-102 (1997).

We develop a continuous version of Kasteleyn theory to show that partition functions for bead configurations on T_n may be expressed in terms of Fredholm determinants of certain operators on

17 Jun 2019: Define a Fredholm operator T , on a Hilbert space H, and define the index of T. ... not using anytheorems about Fredholm operators) that, for each k Z, there is a Fredholm operator Son H with ind S = k.

23 Jul 2014: specessA = {λ C : AλI not Fredholm on E},specεA = spec A {λ C : ‖(AλI )1‖ > 1/ε}. ... For A L(E ) and ε > 0, we put. spec A = {λ C : AλI not invertible on E},specessA = {λ C : AλI not Fredholm on E},.

21 Apr 2006: We may therefore express the imaging process by the Fredholm integral,. ... x, y, z) = δ (xp) δ (z z0).Expressing the Fredholm integral of Equation 1 in terms of xp and yp, we obtaing (x, y, t) =. h (x′ cos θ y′

17 Nov 2010: Iserles. The computation of Fredholm spectra. 62. Jozsa. Classical simulation of quantum computations.