منابع مشابه
On Hartman Almost Periodic Functions
In this note we consider multi-dimensional Hartman almost periodic functions and sequences, defined with respect to different averaging sequences of subsets in R or Z. We consider the behavior of their Fourier-Bohr coefficients and their spectrum, depending on the particular averaging sequence, and we demonstrate this dependence by several examples. Extensions to compactly generated, locally co...
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We investigate some topological properties of a normal functor H introduced earlier by Radul which is a certain functorial compactification of the HartmanMycielski construction HM . We show that H is open and find the condition when HX is an absolute retract homeomorphic to the Tychonov cube.
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The Hartman–Grobman Theorem (see [3, page 353]) was proved by Philip Hartman in 1960 [5]. It had been announced byGrobman in 1959 [1], likely unbeknownst to Hartman, and Grobmanpublished his proof in 1962 [2], likely without knowing of Hartman’s work. (Grobman attributes the question to Nemycki and an earlier partial result to R.M. Minc (citing Nauč. Dokl. Vysš. Školy. Fiz.-Mat. Nauki 1 (1958))...
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ژورنال
عنوان ژورنال: Mnemosyne
سال: 2019
ISSN: 0026-7074,1568-525X
DOI: 10.1163/1568525x-12342762