Research and Innovation Articles
L^2-Estimates for a class of pseudo-differential operators defined on the torus
Published 2013-12-17
Keywords
- Pseudo-differential operators,
- L2 -boundedness,
- locally compact groups.
How to Cite
Cardona, D. (2013). L^2-Estimates for a class of pseudo-differential operators defined on the torus. Revista Integración, Temas De matemáticas, 31(2), 147–152. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/3753
Abstract
In this work we establish L2 estimates from pseudo-differential operators defined on the torus. Such operators arise from the study of operators on locally compact abelian groups.
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References
- Agranovich M.S., “Spectral properties of elliptic pseudo-differential operators on a closed curve”, Funct. Anal. Appl. 13 (1979), 279–281.
- Ashino R., Nagase M., and Vaillancourt R., “Pseudo-differential Operators on Lp spaces”, Cubo 6 (2004), no. 3, 91–129.
- Calderón A. and Vaillancourt R., “On the boundedness of pseudo-differential operators”, J. Math. Soc. Japan 23 (1971), 374–378.
- Delgado J., “Lp bounds for pseudo-differential operators defined on the torus”, Operators Theory: Advances and Applications 231 (2013), 103–116.
- Molahajloo S. and Wong M.W., “Pseudo-Differential operators on S1”, in New developments on Pseudo-Differential operators, Eds. Luigi Rodino and M.W. Wong. (2008), 297–306.
- Ruzhansky M. and Turunen V., Pseudo-differential Operators and Symmetries: Background Analysis and Advanced Topics, Birkhaüser-Verlag, Basel, 2010.
- Ruzhansky M. and Turunen V., “Quantization of Pseudo-Differential Operators on the Torus”, J. Fourier Annal Appl. 16 (2010), 943–982.
- Taylor M., “Pseudodifferential Operators”, Four Lectures at MSRI, September 2008, p. 16.
- Wong M.W., “Discrete Fourier Analysis”, Birkhaüser: Germany, 2011