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Algèbre des opérateurs aux différences finies. Proc. internat. Sympos. partial diff. Equ. Geometry normed lin. Spaces I. (French) Zbl 0252.46092


MSC:

46L99 Selfadjoint operator algebras (\(C^*\)-algebras, von Neumann (\(W^*\)-) algebras, etc.)
46L05 General theory of \(C^*\)-algebras
47Gxx Integral, integro-differential, and pseudodifferential operators
Full Text: DOI

References:

[1] Frank, L. S., Difference operators in convolutions, Dokl. Akad. Nauk SSSR, 8, 2 (1968) · Zbl 0177.19002
[2] L. S. Frank,Spaces of net functions, Mat. Sb (n. s.),86 (128) (1971) 2(10). · Zbl 0223.46037
[3] K. O. Friedrichs,Pseudo-differential operators, an introduction, Lecture Notes with the assistance of R. Valliancourt, Courant Institute of Mathematics and Science, New York University, 1968.
[4] L. Hörmander,Algebra of pseudodifferential operators, Comm. Pure Appl. Math.18 (1965). · Zbl 0125.33401
[5] J. J. Kohn and L. Nirenberg,Algebra of pseudodifferential operators, Comm. Pure Appl. Math.18 (1965). · Zbl 0171.35101
[6] Lax, P. D.; Nirenberg, L., On the stability for difference schemes: a sharp form of Gårding’s inequality, Comm. Pure Appl. Math., 19, 437-492 (1966) · Zbl 0185.22801 · doi:10.1002/cpa.3160190409
[7] Thomée, V.; Westergren, B., Elliptic difference equations and interior regularity, Numer. Math., 11, 196-210 (1968) · Zbl 0159.38204 · doi:10.1007/BF02161842
[8] Vaillancourt, R., A simple proof of Lax-Nirenberg theorems, Comm. Pure Appl. Math., 23, 151-163 (1970) · Zbl 0188.41202 · doi:10.1002/cpa.3160230203
[9] Yamaguti, M.; Nogi, T., An algebra of pseudo difference schemes and its application, Publ. Res. Inst. Math. Sci. Ser A., 3, 151-166 (1967) · Zbl 0182.18601
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