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Paper2A.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2009_03.pdf30 Nov 2009: In this paper we attempt to apply similar methodology to thecomputation of spectra of highly oscillatory Fredholm operators, of a form ubiquitous in lasertheory. ... It follows readily from standard theory of Fredholm operators (cf. for example -
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). -
On Spectral Inclusion Sets and Computing theSpectra and Pseudospectra …
www.damtp.cam.ac.uk/research/afha/workshops/cid2014/ChandlerWilde.pdf23 Jul 2014: Fredholm operators. Simon Chandler-Wilde Spectral Inclusion Sets for Spectra and Pseudospectra. ... Fredholm operators. Definition. A : E E is a Fredholm operatorif α := dim(ker A) and β := codim(im A) are both finite.The difference αβ is then called -
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: b) Show that an operator is Fredholm if and only if it is invertible modulo thecompact operators. ... c) Show that the Fredholm operators are open in B(H) and that the index isnorm continuous. -
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. -
hop07spec.dvi
www.damtp.cam.ac.uk/user/na/NA_papers/NA2008_05.pdf10 Apr 2008: There are two numerical challenges commonly associated with Fredholm operators of thesecond kind. ... This includesthe Li–Fox oscillator (1.5) and other Fredholm operators of relevance in applications. -
Geometric inverse problems with emphasis on two dimensions Gabriel ...
https://www.dpmms.cam.ac.uk/~gpp24/GIP2D_driver.pdf1 Feb 2023: with prescribed zero Fourier modes. Chapter 99 discusses inversion formulas up to a Fredholm error and the. ... The theory of pseudodifferential operators (i.e. microlocal anal-ysis) then immediately yields that the singularities of f are uniquely. -
MATHEMATICAL TRIPOS Part III Thursday 31 May 2007 1.30 ...
https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2007/Paper10.pdf30 Aug 2019: PAPER 10. ANALYSIS OF OPERATORS. Attempt THREE questions. There are EIGHT questions in total. ... 5 Write an essay on the index of Fredholm operators. You should include in youraccount a discussion of Toeplitz operators on the circle. -
Numerical analysis preprints, 2001–2010 2010: NA2010/01: Arieh…
www.damtp.cam.ac.uk/user/na/NA_Group/Reports01_10.html26 Jan 2017: NA2009/03: Hermann Brunner, Arieh Iserles & Syvert Nørsett, "The computation of the spectra of highly oscillatory Fredholm integral operators". ... NA2008/05: Hermann Brunner, Arieh Iserles & Syvert Nørsett, "The spectral problem for a class of highly
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