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Periodic Fourier integral operators in L-p-spaces

(2021) COMPTES RENDUS MATHEMATIQUE. 359(5). p.547-553
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Abstract
In this note we give sufficient conditions for the L-p boundedness of periodic Fourier integral operators. We also refer to them as Fourier series operators (FSOs). The main tool will be the notion of full symbol and the periodic analysis on the torus introduced by Ruzhansky and Turunen [34].
Keywords
General Mathematics, WEAK-TYPE 1,1, PSEUDODIFFERENTIAL-OPERATORS

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MLA
Cardona Sanchez, Duvan, et al. “Periodic Fourier Integral Operators in L-p-Spaces.” COMPTES RENDUS MATHEMATIQUE, vol. 359, no. 5, 2021, pp. 547–53, doi:10.5802/crmath.194.
APA
Cardona Sanchez, D., Messiouene, R., & Senoussaoui, A. (2021). Periodic Fourier integral operators in L-p-spaces. COMPTES RENDUS MATHEMATIQUE, 359(5), 547–553. https://doi.org/10.5802/crmath.194
Chicago author-date
Cardona Sanchez, Duvan, Rekia Messiouene, and Abderrahmane Senoussaoui. 2021. “Periodic Fourier Integral Operators in L-p-Spaces.” COMPTES RENDUS MATHEMATIQUE 359 (5): 547–53. https://doi.org/10.5802/crmath.194.
Chicago author-date (all authors)
Cardona Sanchez, Duvan, Rekia Messiouene, and Abderrahmane Senoussaoui. 2021. “Periodic Fourier Integral Operators in L-p-Spaces.” COMPTES RENDUS MATHEMATIQUE 359 (5): 547–553. doi:10.5802/crmath.194.
Vancouver
1.
Cardona Sanchez D, Messiouene R, Senoussaoui A. Periodic Fourier integral operators in L-p-spaces. COMPTES RENDUS MATHEMATIQUE. 2021;359(5):547–53.
IEEE
[1]
D. Cardona Sanchez, R. Messiouene, and A. Senoussaoui, “Periodic Fourier integral operators in L-p-spaces,” COMPTES RENDUS MATHEMATIQUE, vol. 359, no. 5, pp. 547–553, 2021.
@article{01GYSSSA88C8ZZJRYCYFR94C3Z,
  abstract     = {{In this note we give sufficient conditions for the L-p boundedness of periodic Fourier integral operators. We also refer to them as Fourier series operators (FSOs). The main tool will be the notion of full symbol and the periodic analysis on the torus introduced by Ruzhansky and Turunen [34].}},
  author       = {{Cardona Sanchez, Duvan and Messiouene, Rekia and Senoussaoui, Abderrahmane}},
  issn         = {{1631-073X}},
  journal      = {{COMPTES RENDUS MATHEMATIQUE}},
  keywords     = {{General Mathematics,WEAK-TYPE 1,1,PSEUDODIFFERENTIAL-OPERATORS}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{547--553}},
  title        = {{Periodic Fourier integral operators in L-p-spaces}},
  url          = {{http://doi.org/10.5802/crmath.194}},
  volume       = {{359}},
  year         = {{2021}},
}

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