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A bilinear oscillatory integral along parabolas

A bilinear oscillatory integral along parabolas We establish an $$L^\infty \times L^2 \rightarrow L^2$$ norm estimate for a bilinear oscillatory integral operator along parabolas incorporating oscillatory factors $$e^{i|t|^{-\beta}}$$ . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

A bilinear oscillatory integral along parabolas

Positivity , Volume 13 (2) – Oct 28, 2008

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References (32)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Birkhäuser Verlag Basel/Switzerland
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
DOI
10.1007/s11117-008-2270-3
Publisher site
See Article on Publisher Site

Abstract

We establish an $$L^\infty \times L^2 \rightarrow L^2$$ norm estimate for a bilinear oscillatory integral operator along parabolas incorporating oscillatory factors $$e^{i|t|^{-\beta}}$$ .

Journal

PositivitySpringer Journals

Published: Oct 28, 2008

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