Erik Ivar Fredholm

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The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Fredholm, Erik Ivar


Born Apr. 7, 1866, in Stockholm; died Aug. 17, 1927, in Mörby. Swedish mathematician.

Fredholm became a professor at the University of Stockholm in 1906. He made important contributions to the theory of linear integral equations.


Oeuvres complètes. Malmö, 1955.


Bourbaki, N. Ocherki po istorii matematiki. Moscow, 1963. (Translated from French.)
Hellsten, U. “Ivar Fredholm (1866–1927).” In Swedish Men of Science, 1650–1950. Stockholm, 1952.
The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Shahsavaran, Numerical solution of nonlinear Fredholm and Volterra integral equations of the second kind using Haar wavelets and collocation method, J.
Booss-Bavnebak and Zhu consider a curve of Fredholm pairs of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures.
The first Ne rows of SLAE follow from the Fredholm integral equation of the first kind for potentials on the surface of a current-carrying strand (electrode).
Also, some researchers have solved one-dimensional fuzzy Fredholm integral equations by using fuzzy interpolation via iterative method such as: iterative interpolation method [9], Lagrange interpolation based on the extension principle [5], and spline interpolation [7].
(5.) Fredholm H, Magnusson K, Lindstrom LS, Garmo H, Falt SE, Lindman H, Bergh J, Holmberg L, Ponten F, Frisell J, Fredriksson I.
These equations are considered the Fredholm integral equations of the first kind with respect to the normal derivative qi on the interface [psi].sub.1] and to the normal derivative [[??].sub.3] on the interface [psi].sub.2], respectively.
This general class of such integral equations, known as "Fredholm integral equations of the second kind," is a common way of describing different physical phenomena in a variety of scientific fields.
This is because of the inherent quality of the Fredholm integral equation of the second kind, where the boundary conditions are naturally imbedded.
In this paper, we give solutions by means of Fredholm determinants of order 2N depending on 2N - 1 parameters and then by means of Wronskians of order 2N with 2N - 1 parameters.
A is semi--Fredholm, [lambda] [member of] [[PHI].sub.sf] (A) or A - [lambda] [member of] [[PHI].sub.sf] (X), if A - [lambda] is either upper or lower semi--Fredholm, and A is Fredholm, [lambda] [member of] [PHI](A) or A - [lambda] [member of] [PHI](X), if A - [lambda] is both upper and lower semi--Fredholm.