A Geometrical Proof of a Theorem of Crum

Ramón Bruzual () and Marisela Domínguez ()
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Ramón Bruzual: Universidad Central de Venezuela, Escuela de Matemática, Fac. Ciencias
Marisela Domínguez: Universidad Central de Venezuela, Escuela de Matemática, Fac. Ciencias

A chapter in Factorization, Singular Operators and Related Problems, 2003, pp 65-72 from Springer

Abstract: Abstract Using Hilbert space geometrical arguments and basic results of measure theory we obtain a proof of a result of M. Crum, which says that a complex valued measurable positive definite function on the real line, can be decomposed as the sum of a continuous positive definite function and a positive definite function null at almost every point.

Keywords: Measurable; positive definite. (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0227-0_6

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DOI: 10.1007/978-94-017-0227-0_6

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