Functions which operate on positive definite functions

Author:

Rider Daniel

Abstract

1. Introduction. Let P be a collection of functions mapping some set into the complex plane C and let δ be a subset of C. A function F: δ → C is said to operate on P provided the composition F o φ belongs to P whenever φ ∈ P and the range of φ is contained in δ. The basic problem is to characterize the functions which operate.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Continuity of functions operating on characteristic functions;Mathematical Proceedings of the Cambridge Philosophical Society;1996-07

2. Multidimensional functional calculus on characteristic functions;Lithuanian Mathematical Journal;1986

3. Functional calculus and positive-definite functions;Transactions of the American Mathematical Society;1977

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