×

zbMATH — the first resource for mathematics

Linear partial differential operators and generalized distributions. (English) Zbl 0166.36501

PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Hörmander, L., Linear partial differential operators. Grundlehren der mathematischen Wissenschaften116, Springer, Berlin, 1963.
[2] Beurling, A., Sur les intégrales de Fourier absolument convergentes et leur application à une transformation fonctionelle. IX Congr. Math. Scand., Helsingfors, 1938, 345–366. · JFM 65.0483.02
[3] – Sur les spectres des fonctions. Analyse Harmonique. Colloques internationaux du C.N.R.S.15, Nancy, 1947, 9–29 (Paris, 1949).
[4] –, Quasi-analyticity and general distributions, Lectures 4 and 5. A.M.S. Summer institute, Stanford, 1961 (mimeographed).
[5] Boman, J., On the propagation of analyticity of solutions of differential equations with constant coefficients. Ark. Mat.5, 271–279 (1964). · Zbl 0144.34602
[6] –, On the intersection of classes of infinitely differentiable functions. Ark. Mat.5, 301–309 (1964). · Zbl 0135.26104
[7] Bourbaki, N., Espaces vectoriels topologiques. Actualités Sci. Ind. 1189 & 1229, Hermann, Paris, 1953, & 1955. · Zbl 0050.10703
[8] Chou, C.-C., Problème de régularité universelle. C. R. Acad. Sci. Paris260, 4397–4399 (1965). · Zbl 0138.09502
[9] Domar, Y., Harmonic analysis based on certain commutative Banach algebras. Acta Mat.96, 1–66 (1956). · Zbl 0071.11302
[10] Friedman, A., Generalized functions and partial differential equations. Prentice-Hall, Englewood Cliffs, N.J., 1963. · Zbl 0116.07002
[11] Gelfand, I. M., andŠilov, G., Generalized functions I–III. Fizmatgiz, Moscow, 1958 (Russian). German translation, VEB Deutscher Verlag der Wissenschaften, Berlin, 1960–1964.
[12] Hille, E., andPhillips, R. S., Functional analysis and semi-groups. A.M.S. Colloquium Publications31, Providence, R.I., 1957. · Zbl 0033.06501
[13] Hörmander, L., Differential operators of principal type. Math. Ann.140, 124–146 (1960). · Zbl 0090.08101
[14] –, Differential operators without solutions. Math. Ann.140, 169–173 (1960). · Zbl 0093.28903
[15] –, On the range of convolution operators. Ann. of Math. (2)76, 148–170 (1962). · Zbl 0109.08501
[16] Mandelbrojt, S., Séries adhérentes, régularisation des suites, applications. Gauthier-Villars, Paris, 1952.
[17] Paley, R. E. A. C., andWiener, N., Fourier transforms in the complex domain. A.M.S. Colloquium Publications19, New York, 1934. · Zbl 0011.01601
[18] Roumieu, C., Sur quelques extensions de la notion de distribution. Ann. Sci. École Norm. Sup. (3),77, 41–121 (1960). · Zbl 0104.33403
[19] –, Ultra-distributions définies surR n et sur certains classes de variétés différetiables. J. Analyse Math.10, 153–192 (1962–63). · Zbl 0122.34802
[20] Schwartz, L., Théorie des distributions I–II. Actualités Sci. Ind. 1091 & 1122, Hermann, Paris, 1950 & 1951. · Zbl 0037.07301
[21] van der Waerden, B. L., Ein einfaches Beispiel einer nicht-differenzierbaren stetigen Funktion, Math. Z.32, 474–475 (1930). · JFM 56.0929.02
[22] Yosida, K., Functional analysis. Grundlehren der mathematischen Wissenschaften123, Springer, Berlin, 1965.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.