Peter C. Gibson

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Oxidative stress is believed to play an important role in the pathophysiology of asthma. Recently discovered F2-isoprostanes, of which 8-iso-PGF2α is the most well-known isomer, have emerged as the most reliable marker of in vivo oxidative stress. The aim of this study was to examine 8-iso-PGF2α as a biomarker of oxidative stress in mild asthma in relation(More)
We consider a continuous version of Gabor multipliers: operators consisting of a short-time Fourier transform, followed by multiplication by a distribution on phase space (called the Gabor symbol), followed by an inverse short-time Fourier transform, allowing different localizing windows for the forward and inverse transforms. For a given pair of forward(More)
A partition of unity on the d-dimensional integer lattice Z is used to create a generalized discrete Gabor transform, with analysis and synthesis windows of smooth, desirable characteristics. Factorizing the partition of unity allows for different choices of analysis and synthesis windows, a transformation on general lattices in the time and frequence(More)
Operators that preserve minimum phase signals, or delayed minimum phase signals, have been shown to be important in practical signal processing contexts, and specifically in geophysical imaging, where one seeks to identify such operators using test signals. Which sets of test signals suffice to recover an unknown operator of the given type? In the present(More)
We present recent results on the scattering of plane waves in piecewise constant layered media, introducing a new geometric perspective. It turns out that the classical inverse scattering problem generically decouples into two separate problems. One problem is to recover a line from the magnitudes of the projections onto the line of a set of lattice points.(More)
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