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17 Jun 2019: Define what it meansto say that T is (i) compact, and (ii) Fredholm. ... H =p2. 2m+. 12mω2x2,. in terms of creation and annihilation operators, defined by.

20 Nov 2023: For A , where is an appropriate domain of operators, we define theproblem functions. ... Given the different domains, we can now state the main theorem for bounded operators.

3 Aug 2016: Spectral theory of highly oscillatory Fredholm operators, e.g. the Fox–Li equation in both its operator-theoretic and computational aspects;.

22 Feb 2024: H. Brunner, A. Iserles & S. Nørsett, "The computation of the spectra of highly oscillatory Fredholm integral operators", J. ... Nørsett, "The spectral problem for a class of highly oscillatory Fredholm differential equations" IMA J.

17 Jun 2019: eiu2du =. πeiπ/4.]. Part II 2002. 26. A3/17 Mathematical Methods. (i) State the Fredholm alternative for Fredholm integral equations of the second kind.

22 Oct 2016: We then discuss compact operators and show thatthe spectrum can be computed using algorithms with index 1. ... We omitthe details. This gives us the obvious corollary for operators on finite dimensional Hilbert spaces.

26 Jul 2023: Spess 𝑇 = Sp 𝑇 Spd 𝑇. Most applications of NEPs involve differential operators. ... Comput. Math., 2022.• Webb, Olver, “Spectra of Jacobi operators via connection coefficient matrices,” Commun.

17 Jun 2019: ii) The Lie algebra su(2) of generators of SU(2) is spanned by the operators{J+,J,J3} satisfying the commutator algebra [J+,J] = 2J3 and [J3,J] = J.

26 Mar 2011: However, in the case at hand wecan say more. There are explicit formulae for the Fredholm determinants ofWiener–Hopf operators with rational symbols. ... P. Nørsett, The computation of the spectra ofhighly oscillatory Fredholm integral operators.

30 Jul 2010: 2. Wiener–Hopf operators. We begin with the proof of Theorem 1.4. ... 11] H. Brunner, A. Iserles, and S. P. Nørsett, The computation of the spectra of highlyoscillatory Fredholm integral operators.