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Introduction to the neutrix calculus. (English) Zbl 0097.10503

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[1] Neutrices, J. Soc. Industr. Appl. Math. 7, September 1959, 253–279.
[2] 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.
[3] 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.
[4] 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. · Zbl 0068.30801
[5] Laurent Schwartz, Théorie des distributions, Paris, Hermann et C ie , I. (148 pages); II (168 pages), Actualités scientifiques et industrielles, No. 1091 and 1122.
[6] I. Halperin, Introduction to the theory of distributions, based on lectures by Laurent Schwartz, University of Toronto Press, 33 pages; see page 12. · Zbl 0046.12603
[7] M. J. Lighthill, An introduction to Fourier analysis and generalized functions, Cambridge, University Press, 79 pages, 1958. · Zbl 0078.11203
[8] 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.
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