On the Zero Sets of the Fourier Transform of Singular Measures
Sign Up to like & getrecommendations! Published in 2018 at "Analysis Mathematica"
DOI: 10.1007/s10476-018-0507-3
Abstract: We show that the class of sets E with the property that there exists a measure singular with respect to the Lebesgue measure whose Fourier transform tends to 0 at infinity and vanishes on E… read more here.
Keywords: sets fourier; zero sets; fourier transform; singular measures ... See more keywords
On zero sets in Fock spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.06.048
Abstract: Abstract We prove that zero sets for distinct Fock spaces are not the same, this is an answer of a question asked by K. Zhu in [6, p. 209] . read more here.
Keywords: zero sets; sets fock; fock spaces;
Ultrafilter-completeness on zero-sets of uniformly continuous functions
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DOI: 10.1016/j.topol.2018.11.008
Abstract: Abstract The various types of ultrafilter-completeness on zero-sets of uniformly continuous functions are introduced, their properties are studied and characterizations in the category Z U n i f are given. read more here.
Keywords: continuous functions; uniformly continuous; ultrafilter completeness; sets uniformly ... See more keywords