منابع مشابه
Bilinear Fourier Integral Operators
We study the boundedness of bilinear Fourier integral operators on products of Lebesgue spaces. These operators are obtained from the class of bilinear pseudodifferential operators of Coifman and Meyer via the introduction of an oscillatory factor containing a real-valued phase of five variables Φ(x, y1, y2, ξ1, ξ2) which is jointly homogeneous in the phase variables (ξ1, ξ2). For symbols of or...
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The seismic imaging problem centers around mathematical and numerical techniques to create an accurate image of the earth’s subsurface, using recorded data from geophones that capture reflected seismic waves. Using a path integral approach, a wavefield extrapolater can be expressed as a limit of depth-sliced path steps through a variable velocity medium. An image is created from the correlation...
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The-calculus is a-calculus with a local operator closely related to normal-isation procedures in classical logic and control operators in functional programming. We introduce exp, an explicit substitution calculus for , show it preserves strong normali-sation and that its simply typed version is strongly normalising. Interestingly, exp is the rst example for which the decency method of showing ...
متن کاملCurvelets and Fourier Integral Operators
A recent body of work introduced new tight-frames of curvelets [3, 4] to address key problems in approximation theory and image processing. This paper shows that curvelets essentially provide optimally sparse representations of Fourier Integral Operators. Dedicated to Yves Meyer on the occasion of his 65th birthday.
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Fourier integral operators, for the calculus of which I refer to Hörmander [17], have been applied in essentially two ways: as similarity transformations and in the description of the solutions of genuinely nonelliptic (pseudo-) differential equations. The first application is based on the observation of Egorov [12] that if P9 resp. g, is a pseudo-differential operator with principal symbol equ...
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 2006
ISSN: 0956-540X,1365-246X
DOI: 10.1111/j.1365-246x.2006.02888.x