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Arieh Iserles: Research My main research is on various ...
www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Research.html3 Aug 2016: Spectral theory of highly oscillatory Fredholm operators, e.g. the Fox–Li equation in both its operator-theoretic and computational aspects;. -
The bead process on the torus - CMIH - The Centre for Mathematical…
https://archive.cmih.maths.cam.ac.uk/events-archive/the-bead-process-on-the-torus/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 -
TCM Publications in 1997
www.tcm.phy.cam.ac.uk/publications/Pubs1997.html2 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). -
MAMA/105, NST3AS/105, MAAS/105 MAT3 MATHEMATICAL TRIPOS Part III…
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2024/Paper_105.pdf9 Jul 2024: State the Fredholm Alternative for (†). (ii) Let U = (0,2π) R and define the operator. -
MATHEMATICAL TRIPOS Part II Alternative B Thursday 6 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2002/PaperIIB_4.pdf17 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. -
MATHEMATICAL TRIPOS Part III Friday, 5 June, 2009 9:00 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2009/Paper8.pdf30 Aug 2019: 2. 1. (a) Define what is meant by a Fredholm operator of index n on Hilbert space. ... b) Show that an operator is Fredholm if and only if it is invertible modulo thecompact operators. -
On Spectral Inclusion Sets and Computing theSpectra and Pseudospectra …
www.damtp.cam.ac.uk/research/afha/workshops/cid2014/ChandlerWilde.pdf23 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},. -
TIME-PERIODIC SOLUTIONS OF ADVECTION-DIFFUSIONEQUATIONS ON MOVING…
https://api.newton.ac.uk/website/v0/events/preprints/NI14053Therefore, our existence proof mainly relies on a simple fixed point iterationand standard Fredholm theory. ... ut. The Fredholm alternative in Proposition 3.3 then gives the main theorem of thepaper. -
Search Publications | Publications
https://publications.maths.cam.ac.uk/publications-search?page=52111 Jul 2024: The computation of the spectra of highly oscillatory Fredholm integral operators. -
MATHEMATICAL TRIPOS Part II Alternative B Wednesday 6 June ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2001/PaperIIB_3.pdf17 Jun 2019: Define what it meansto say that T is (i) compact, and (ii) Fredholm. ... Prove that S and T are Fredholm ifand only if both ST and T S are Fredholm.
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