A New Representation for Volterra Factors and the Fredholm Resolvent

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/494 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/494 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/494 archive 351 disk0/00/00/04/75 2016-01-15 01:42:52 2021-08-27 17:08:11 2016-01-15 01:42:52 monograph show 2 Casti J.L. 974 A New Representation for Volterra Factors and the Fredholm Resolvent pub iis_met iis_mod prog_sds 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. 1975-07 published RM-75-041 RM-75-041 10 1179 public research_memorandum IIASA, Laxenburg, Austria 8 FALSE info:eu-repo/semantics/book