Introduction to the neutrix calculus

Journal d'Analyse Mathematique - Tập 7 Số 1 - Trang 281-398 - 1959
J. G. van der Corput1
1Madison, U S A

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Tài liệu tham khảo

Neutrices, J. Soc. Industr. Appl. Math. 7, September 1959, 253–279.

Compare C. E. Duncan, On the asymptotic behavior of trigonometric sums, third communication, Koninkl. Nederl. Ak. van Wetensch, Proceedings, Series A, 60 (1957), 374–380.

J. Hadamard, Le problème de Cauchy et les équations aux dérivées partielles linéaires hyperboliques, Paris, Hermann et Cie, 1932; Lectutes on Cauchy's problem in linear partial differential equations, Yale and Oxford University Press, 1923, 316 pages.

Compare; F. Bureau, Le problème de Cauchy pour les systèmes d'équations linéaires aux dérivées partielles totalement hyperboliques, Ann. Mat. Pura Appl. (4) 49, 1955, 305–334.

Laurent Schwartz, Théorie des distributions, Paris, Hermann et C ie , I. (148 pages); II (168 pages), Actualités scientifiques et industrielles, No. 1091 and 1122.

I. Halperin, Introduction to the theory of distributions, based on lectures by Laurent Schwartz, University of Toronto Press, 33 pages; see page 12.

M. J. Lighthill, An introduction to Fourier analysis and generalized functions, Cambridge, University Press, 79 pages, 1958.

J. Korevaar, Distributions defined from the point of view of applied mathematics I; Distributions defined by fundamental sequences II, III, IV, V; Koninkl. Nederl. Akademie van Wetensch. Proceedings, Series A, Mathematical Sciences 58, 1955; 368–378; 379–389; 483–493; 494–503; 663–674.