A New Representation for Volterra Factors and the Fredholm Resolvent

Casti, J.L. (1975). A New Representation for Volterra Factors and the Fredholm Resolvent. IIASA Research Memorandum. IIASA, Laxenburg, Austria: RM-75-041


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Generalizations of the Chandrasekhar-Ambartsumian X-Y functions of radiative transfer are used to give a new representation of the Bellman-Krein formula for the Fredholm resolvent, as well as to represent the Volterra factors of the Gohberg-Krein factorization theory for Fredholm integral operators. It is shown that the new formulas have direct connections to matrix Riccati equations and may be used to advantage in various imbedding procedures used to calculate the Fredholm resolvent.

Item Type: Monograph (IIASA Research Memorandum)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:42
Last Modified: 27 Aug 2021 17:08
URI: http://pure.iiasa.ac.at/475

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