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Physical Sciences and Mathematics Commons™
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Articles 1 - 3 of 3
Full-Text Articles in Physical Sciences and Mathematics
Phase Retrieval For Characteristic Functions Of Convex Bodies And Reconstruction From Covariograms, Gabriele Bianchi, Richard J. Gardner, Markus Kiederlen
Phase Retrieval For Characteristic Functions Of Convex Bodies And Reconstruction From Covariograms, Gabriele Bianchi, Richard J. Gardner, Markus Kiederlen
Mathematics Faculty Publications
The Phase Retrieval Problem of Fourier analysis involves determining a function f on Rn from the modulus |f�| of its Fourier transform f�. This problem arises naturally and frequently in various areas of science, such as X-ray crystallography, electron microscopy, optics, astronomy, and remote sensing, in which only the magnitude of the Fourier transform can be measured and the phase is lost.
Stability Of The Gauge Equivalent Classes In Inverse Stationary Transport In Refractive Media, Stephen R. Mcdowall, Plamen Stefanov, Alexandru Tamasan
Stability Of The Gauge Equivalent Classes In Inverse Stationary Transport In Refractive Media, Stephen R. Mcdowall, Plamen Stefanov, Alexandru Tamasan
Mathematics Faculty Publications
In the inverse stationary transport problem through anisotropic attenuating, scattering, and refractive media, the albedo operator stably determines the gauge equivalent class of the attenuation and scattering coefficients.
Modulation Spaces, Wiener Amalgam Spaces, And Brownian Motions, Árpád Bényi, Tadahiro Oh
Modulation Spaces, Wiener Amalgam Spaces, And Brownian Motions, Árpád Bényi, Tadahiro Oh
Mathematics Faculty Publications
We study the local-in-time regularity of the Brownian motion with respect to localized variants of modulation spaces Msp,q and Wiener amalgam spaces Wsp,q. We show that the periodic Brownian motion belongs locally in time to Msp,q(T) and Wsp,q(T) for (s−1)q