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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 -

5 Dec 2023: problem, approximation in L1 vs L2. 5. Fredholm Theory and linear integral equations. ... Discuss basics of theory and applications to Sturm-Liouville eigenvalue problems over finite intervals.

3 Aug 2016: Spectral theory of highly oscillatory Fredholm operators, e.g. the Fox–Li equation in both its operator-theoretic and computational aspects;. ... Highly oscillatory integrals in one or more dimensions, their theory, asymptotic expansion and quadrature

12 Mar 2004: then there would be innitely many solutions by the. Fredholm solvability theory. ... values of E (>0.03).We emphasize that our theory contains no adjus-.

20 Nov 2023: Analogously,in computational spectral theory, the general spectral problem resides in Π3 3, demonstrating that nospectral problem is more challenging than this. ... This set has been popularin spectral theory, analysis of pseudo differential operators

22 Jul 2022: ators or use the theory of limit operators to write the pseudospectrum of pseudoergodic operatorsacting on l2(Z) as the union of pseudospectra over all possible periodic submatrices (see for ... In particular, the 1-norm and -norm pseudospectra are

30 Nov 2009: It follows readily from standard theory of Fredholm operators (cf. for example (Atkinson1997)) thatFω is compact, henceσ(Fω) is a point spectrum with a single accumulation pointat the origin. ... Spectra of highly oscillatory Fredholm integral

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

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

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.