Search

of finite rank), then T K is also Fredholm and index(T K) = index T. ... This operator is Fredholm of. index E p. Therefore,index A = E p = E.

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.

30 Aug 2019: 3 Using Mahler’s method, show that the Fredholm series. n=0 zln , where l is an. ... Prove that, for l > 3 and z = 12 , the transcendence of the Fredholm series can beobtained directly from the Thue-Siegel-Roth theorem.

In particular, we identify the Fredholm deter-minant of the integral equation inverting the nonlocal ̄-dressing problem with the τ -function. ... Then, by the Fredholm alternative, the homogeneousequation with η = 0 has only the trivial solution.

the Fredholm module canonically associated to the spectral triple to an ‘instanton’ projection e. ... With different representations a non-trivial Fredholm module was already constructed in [17].

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

Juri M. Rappoport 7. equation are present in the form of single quadrature from Fredholm inte-gral equation type. ... It consists of numerical solutionof the second kind Fredholm integral equation with symmetric kernels andthe followed taking of

Therefore, 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.

18 May 2024: The computation of the spectra of highly oscillatory fredholm integral operators.

Meury 3. Fredholm alternative. To this end, most authors have studied the integral operators intrinsicallyon Γ. ... Fredholm alternative on either smooth or non-smooth domainsand prevents us from establishing existence and uniqueness of solutions and