@article {
author = {Alimohammady, M. and Fattahi, F.},
title = {Bilinear Fourier integral operator and its boundedness},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {2},
number = {1},
pages = {97-102},
year = {2011},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2011.109},
abstract = {We consider the bilinear Fourier integral operator$$S_\sigma(f,g)=\int_{\mathbb{R}^d}\int_{\mathbb{R}^d}e^{i\phi_1(x,\xi)}e^{i\phi_2(x,\eta)}\sigma(x,\xi,\eta)\hat{f}(\xi)\hat{g}(\eta)d\xi d\eta$$on modulation spaces. Our aim is to indicate this operator is well defined on $S(\mathbb{R}^d)$ and shall show the relationship between the bilinear operator and BFIO on modulation spaces.},
keywords = {Fourier integral operator,boundedness,modulation spaces},
url = {https://ijnaa.semnan.ac.ir/article_109.html},
eprint = {https://ijnaa.semnan.ac.ir/article_109_25678017a3385f032a568a080ecba496.pdf}
}