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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 -

8 May 2024: Analytic number theory. (2009). The spectral problem for a class of highly oscillatory Fredholm integral operators. ... 20,. 1. (doi: 10.1007/s11222-008-9108-5). Particle transport in low-energy ventilation systems. Part 1: theory of steady states.

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

14] V. S. Rabinovich, S. Roch and J. Roe: Fredholm indices of band-dominatedoperators, Integral Equations Operator Theory 49 (2004), 221–238. ... 15] V. S. Rabinovich, S. Roch and B. Silbermann: Fredholm Theory andFinite Section Method for

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-.

Since there is no small parameter. in the equation, its solution is based on the Fredholm theory [9]. ... Illner and M. Pulvirenti, “The Mathematical Theory of Dilute Gases”,. Springer-Verlag (1994).

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

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

Therefore, our existence proof mainly relies on a simple fixed point iterationand standard Fredholm theory. ... The standard Fredholm theory therefore gives the result.Proof of Corollary 3.4 Because of the Fredholm alternative in Proposition 3.3 weonly