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L-p-bounds for Fourier integral operators on the torus

Duvan Cardona Sanchez (UGent) , Rekia Messiouene and Abderrahmane Senoussaoui
(2024) COMPLEX VARIABLES AND ELLIPTIC EQUATIONS.
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Abstract
In this paper, we investigate the mapping properties of periodic Fourier integral operators in L-p(T-n)-spaces. The operators are considered associated to periodic symbols (with limited regularity) in the sense of Ruzhansky and Turunen.
Keywords
Applied Mathematics, Computational Mathematics, Numerical Analysis, Analysis, LP-spaces, pseudo-differential operators, torus, Fourier integral operators, global analysis, WEAK-TYPE 1,1, PSEUDODIFFERENTIAL-OPERATORS

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MLA
Cardona Sanchez, Duvan, et al. “L-p-Bounds for Fourier Integral Operators on the Torus.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, doi:10.1080/17476933.2022.2124981.
APA
Cardona Sanchez, D., Messiouene, R., & Senoussaoui, A. (2024). L-p-bounds for Fourier integral operators on the torus. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. https://doi.org/10.1080/17476933.2022.2124981
Chicago author-date
Cardona Sanchez, Duvan, Rekia Messiouene, and Abderrahmane Senoussaoui. 2024. “L-p-Bounds for Fourier Integral Operators on the Torus.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. https://doi.org/10.1080/17476933.2022.2124981.
Chicago author-date (all authors)
Cardona Sanchez, Duvan, Rekia Messiouene, and Abderrahmane Senoussaoui. 2024. “L-p-Bounds for Fourier Integral Operators on the Torus.” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. doi:10.1080/17476933.2022.2124981.
Vancouver
1.
Cardona Sanchez D, Messiouene R, Senoussaoui A. L-p-bounds for Fourier integral operators on the torus. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. 2024;
IEEE
[1]
D. Cardona Sanchez, R. Messiouene, and A. Senoussaoui, “L-p-bounds for Fourier integral operators on the torus,” COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024.
@article{01GYSSZVW0096QP57GX2T9J8CD,
  abstract     = {{In this paper, we investigate the mapping properties of periodic Fourier integral operators in L-p(T-n)-spaces. The operators are considered associated to periodic symbols (with limited regularity) in the sense of Ruzhansky and Turunen.}},
  author       = {{Cardona Sanchez, Duvan and Messiouene, Rekia and Senoussaoui, Abderrahmane}},
  issn         = {{1747-6933}},
  journal      = {{COMPLEX VARIABLES AND ELLIPTIC EQUATIONS}},
  keywords     = {{Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis,LP-spaces,pseudo-differential operators,torus,Fourier integral operators,global analysis,WEAK-TYPE 1,1,PSEUDODIFFERENTIAL-OPERATORS}},
  language     = {{eng}},
  pages        = {{18}},
  title        = {{L-p-bounds for Fourier integral operators on the torus}},
  url          = {{http://doi.org/10.1080/17476933.2022.2124981}},
  year         = {{2024}},
}
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