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v) A is Fredholm on one of the spaces Y. (vi) A is Fredholm on all the spaces Y. ... 17] S. Roch: Band-dominated operators on pspaces: Fredholm indices and finitesections, Acta Sci.

If C is semi-Fredholm then α(C) β(C) is called theindex of C. ... 899) that L is Fredholm iff all the limitoperators of L are invertible.

2 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).

2 Jun 2024: The computation of the spectra of highly oscillatory Fredholm integral 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;.

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.

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.

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

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].

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