Book Review
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MathSciNet review:
1567697
Full text of review:
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Book Information:
Author:
Gerd Grubb
Title:
Functional calculus of pseudo-differential boundary problems
Additional book information:
Progress in Mathematics, vol. 65, Birkhäuser, Boston, Basel, Stuttgart, 1986, vi + 511 pp., $49.00. ISBN 0-8176-3349-9.
M. F. Atiyah, $K$-theory, W. A. Benjamin, Inc., New York-Amsterdam, 1967. Lecture notes by D. W. Anderson. MR 0224083
[BdM1] Louis Boutet de Monvel, Comportement d'un opérateur pseudo-differentiel sur une variété à bord. I, II J. d'Analyse Math. 71 (1966), 241-253; 255-304.
Louis Boutet de Monvel, Boundary problems for pseudo-differential operators, Acta Math. 126 (1971), no. 1-2, 11–51. MR 407904, DOI 10.1007/BF02392024
H. O. Cordes, Pseudo-differential operators on a half-line, J. Math. Mech. 18 (1968/69), 893–908. MR 0435935
G. I. Eskin, Boundary value problems for elliptic pseudodifferential equations, Translations of Mathematical Monographs, vol. 52, American Mathematical Society, Providence, R.I., 1981. Translated from the Russian by S. Smith. MR 623608
G. I. Èskin, Boundary value problems and the parametrix for elliptic systems of pseudodifferential equations, Trudy Moskov. Mat. Obšč. 28 (1973), 75–116 (Russian). MR 0365237
Stephan Rempel and Bert-Wolfgang Schulze, Parametrices and boundary symbolic calculus for elliptic boundary problems without the transmission property, Math. Nachr. 105 (1982), 45–149. MR 670511, DOI 10.1002/mana.19821050105
[V-E1] M. I. Vishik and G. I. Eskin, Convolution equations in a bounded domain, Russian Math. Surveys 20 (1965), no. 3, 85-151.
[V-E2] M. I. Vishik and G. I. Eskin, Normally solvable problems for elliptic systems of convolution equations, Math. USSR-Sb. (1967), 303-330.
- [A1] M. F. Atiyah, K-theory, Benjamin, Amsterdam, 1967. MR 0224083
- [BdM1] Louis Boutet de Monvel, Comportement d'un opérateur pseudo-differentiel sur une variété à bord. I, II J. d'Analyse Math. 71 (1966), 241-253; 255-304.
- [BdM2] Louis Boutet de Monvel, Boundary problems for pseudodifferential operators, Acta Math. 126 (1971), 11-51. MR 407904
- [C1] H. O. Cordes, Pseudo-differential operators on a half line, J. Math. Mech. 18 (1968/ 69), 893-908. MR 435935
- [E1] G. I. Eskin, Boundary value problems for elliptic pseudo-differential equations, Transl. Math. Monographs, vol. 52, Amer. Math. Soc., Providence, R. I., 1981. MR 623608
- [E2] G. I. Eskin, Boundary value problems and the parametrix for systems of elliptic pseudodifferential equations, Trans. Moscow Math. Soc. 28 (1973), 74-115. MR 365237
- [R-S1] S. Rempel and B.-W. Schulze, Parametrices and boundary symbolic calculus for elliptic boundary value problems without transmission property, Math. Nachr. 105 (1982), 45-149. MR 670511
- [V-E1] M. I. Vishik and G. I. Eskin, Convolution equations in a bounded domain, Russian Math. Surveys 20 (1965), no. 3, 85-151.
- [V-E2] M. I. Vishik and G. I. Eskin, Normally solvable problems for elliptic systems of convolution equations, Math. USSR-Sb. (1967), 303-330.
Review Information:
Reviewer:
Gregory Eskin
Journal:
Bull. Amer. Math. Soc.
19 (1988), 349-352
DOI:
https://doi.org/10.1090/S0273-0979-1988-15671-6