Dixmier traces for discrete pseudo-differential operators

Author:

Cardona Duván,del Corral César,Kumar Vishvesh

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference49 articles.

1. Agranovich, M.S.: Spectral properties of elliptic pseudodifferential operators on a closed curve Funct. Anal. Appl. 13, 279–281 (1971)

2. Botchway L., Kibiti G., Ruzhansky M.: Difference equations and pseudo-differential operators on $${\mathbb{Z}}^n$$, arXiv:1705.07564

3. Calderón, A.P., Zygmund, A.: On the existence of certain singular integrals. Acta. Math. 88, 85–139 (1952)

4. Cardona, D., Del Corral, C.: The Dixmier trace and the non-commutative residue for multipliers on compact manifolds, submitted. arXiv:1703.07453

5. Cardona, D., Kumar, V.: $$L^p$$-boundedness and $$L^p$$-nuclearity of multilinear pseudo-differential operators on $${\mathbb{Z}}^n$$ and the torus $${\mathbb{T}}^n$$, J. Fourier Anal. Appl. https://doi.org/10.1007/s00041-019-09689-7

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