Results 271 to 280 of about 3,272 (305)
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Fourier integral operators with cusp singularities
American Journal of Mathematics, 1998We study the boundedness properties, on Lebesgue and Sobolev spaces, of Fourier integral operators associated with canonical relations such that at least one of the projections is a simple (Whitney) cusp. In the process, we obtain decay estimates for oscillatory integral operators whose symplectic relations have the same singular structure.
Greenleaf, Allan, Seeger, Andreas
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Regularity of Fourier Integral Operators
1995The purpose of this paper is to survey some developments in the study of Radon transforms. These operators and the related oscillatory integrals have long been of interest in harmonic analysis and mathematical physics. Lately, they have emerged as key analytic tools in a wide variety of problems, ranging from partial differential equations to ...
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Fourier Integral Operators and Gelfand-Shilov Spaces
2005In this work, we study a class of Fourier integral operators of infinite order acting on the Gelfand-Shilov spaces of type S. We also define wave front sets in terms of Gelfand-Shilov classes and study the action of the previous Fourier integral operators on them.
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Remarks on Fourier Integral Operators
2004We prove some estimates on several types of Fourier integral operators, emphasizing ɧ1→ ɧ1 estimates and ɧ→ bmo estimates. The results are mostly special cases of more general known results, but the proofs of the special cases presented here are simpler than the usual proofs. Furthermore, the special cases treated here arise quite commonly.
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Radon transformation and Fourier integral operators
Annals of Mathematical Sciences and ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
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The mechanisms of integral membrane protein biogenesis
Nature Reviews Molecular Cell Biology, 2021Ramanujan Shankar Hegde, Robert J Keenan
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Lagrangian Distributions and Fourier Integral Operators
2009In Section 18.2 we introduced the space of conormal distributions associated with a submanifold Y of a manifold X. This is a natural extension of the classical notion of multiple layer on Y. All such distributions have their wave front sets in the normal bundle of Y which is a conic Lagrangian manifold.
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