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Showing 1 to 5 of 5 for “"Fourier Multipliers"”.
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Martingales, Singular Integrals, and Fourier Multipliers
… 1 < <em>p</em> < ∞, of singular integrals and Fourier multipliers. We will use a combination of analytic and probabilistic methods to study analytic properties of these constructions and obtain results which cannot be obtained using probability alone.</p> <p>In particular, we will show that a …
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On certain results of Fourier analysis on non-abelian discrete groups.
… widely studied due to its link with the area of Fourier Multipliers. So, a characterization of positive, definite functions will help in identifying the class of Fourier Multipliers which is completely positive. There is also some surprising consequences which slightly improves the classical …
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Weyl Pseudodifferential Calculus and the Heisenberg Group in New Settings
… the constructed Haar bases can be used to study Fourier multipliers in such settings, detailing future work.
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The Hilbert Transform as an Average of Dyadic Shift Operators
In this thesis we discuss Petermichls characterization of the Hilbert transform as an average of dyadic shift operators following the presentation by Thomas Hytonen [Hyt]. A linear and bounded operator T in L2(R) that commutes with translations, dilations and anticommutes with reflections must be a …
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Noncommutative Lp-spaces associated with locally compact quantum groups
Item withdrawn by Mark Zulauf (zulauf@illinois.edu) on 2010-06-21T21:01:36Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 1 Cooney_Thomas.pdf: 388303 bytes, checksum: 96eda492eeb1c47171783409857e58b8 (MD5)