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http://arxiv.org/pdf/1903.0654...
Part of book or chapter of book
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arXiv.org e-Print Archive
Preprint . 2019
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https://doi.org/10.1007/978-3-...
Part of book or chapter of book . 2020 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2019
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Conference object . 2020
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https://arxiv.org/pdf/1903.065...
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On the Measurability of Stochastic Fourier Integral Operators

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Conference object , Other literature type 01 Jan 2020Embargo end date: 01 Jan 2019 English Publisher:Springer International Publishing
Authors: Martin Schwarz; Michael Oberguggenberger;

doi: 10.1007/978-3-030-36138-9_21 , 10.48550/arxiv.1903.06546

arXiv: http://arxiv.org/abs/1903.06546

On the Measurability of Stochastic Fourier Integral Operators

Abstract

This work deals with the measurability of Fourier integral operators (FIOs) with random phase and amplitude functions. The key ingredient is the proof that FIOs depend continuously on their phase and amplitude functions, taken from suitable classes. The results will be applied to the solution FIO of the transport equation with spatially random transport speed as well as to FIOs describing waves in random media.

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Keywords

Mathematics - Analysis of PDEs, Probability (math.PR), FOS: Mathematics, 35S30, 35L45, 35R60, Mathematics - Probability, Analysis of PDEs (math.AP)

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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
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