inner function

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inner function

[¦in·ər ′fəŋk·shən]
(mathematics)
A continuous open mapping of a topological space X into a topological space Y where the inverse image of each point in Y is zero dimensional.
References in periodicals archive ?
It is proved that the maximal operator of the [theta]-means defined in a cone is bounded from the local Hardy space [h.
0] < P < [infinity]) and from the Wiener amalgam Hardy space W ([h.
They are everywhere defined in some special cases on the classical Hardy Space [H.
n] leads to a better understanding of the deviation from the classical Hardy space of the disk setting.
Three classical examples of p-Frechet spaces, non-locally convex, are the Hardy space [H.
of New York at Albany) covers Toeplitz operators, Hankel operators and composition operators on both Bergman space and hardy space.
As a refresher, however, they do provide a chapter summarizing some basic fact from measure theory, functional analysis, operator theory, Fourier analysis, and Hardy space theory.
He offers an accessible account of elementary real analysis from normed spaces to Hilbert and Banach spaces, with some extended treatment of distribution theory, Fourier and Laplace analyses, and Hardy spaces, accompanied by some applications to linear systems and control theory.
Originally published in the Japanese journal Sugaku and published here for expediency, these ten articles include such topics as operator algebras, operators in weighted Hardy spaces of functions on certain domains, and a little-known period of history of mathematical analysis.
Hardy spaces and potential theory on C1 domains in Riemannian manifolds.
This graduate-level text is intended to provide an introduction to the common ground of its two subjects in topics such as operators and Hardy spaces, closed operators, shift-invariance and causality, stability and stabilization, spaces of persistent signals, and delay systems.