On Distributions Connected with Quadratic Forms

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Previous article Next article On Distributions Connected with Quadratic FormsD. W. BrestersD. W. Brestershttps://doi.org/10.1137/0116045PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] I. M. Gel'fand and , G. E. Shilov, Verallgemeinerte Funktionen, Vol. I, II, VEB Deutscher Verlag der Wissenschaf ten, Berlin, 1960, 1962 Google Scholar[2] E. M. de Jager, Applications of distributions in mathematical physics, Mathematical Centre Tracts, Vol. 10, Mathematisch Centrum, Amsterdam, 1964xi+184 MR0182179 0148.18302 Google Scholar[3] I. M. Gel'fand and , G. E. Shilov, Applications of distribution calculus in problems related to the wave equation, SIAM Rev., to appear Google Scholar[4] R. T. Seeley, Distributions on surfaces, Rep., T. W. 78, Math. Centre, Amsterdam, 1962 Google Scholar[5] John Judson Bowman and , Joseph David Harris, Green's distributions and the Cauchy problem for the iterated Klein-Gordon operator, J. Mathematical Phys., 3 (1962), 396–404 10.1063/1.1724239 MR0149120 0114.29902 CrossrefISIGoogle Scholar[6] N. N. Bogoliubov and , D. V. Shirkov, Introduction to the theory of quantized fields, Authorized English edition. Revised and enlarged by the authors. Translated from the Russian by G. M. Volkoff. Interscience Monographs in Physics and Astronomy, Vol. III, Interscience Publishers, Inc., New York, 1959xvi+720 MR0110471 0063.03382 Google Scholar[7] Arthur Erdélyi, , Wilhelm Magnus, , Fritz Oberhettinger and , Francesco G. Tricomi, Higher transcendental functions. Vols. II, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953xxvi+302, xvii+396 MR0058756 0052.29502 Google Scholar[8] D. W. Bresters, On the Cauchy problem for the iterated Klein-Gordon equation, Mathematical Communications, Twente Institute of Technology, Enschede, The Netherlands, to appear Google Scholar[9] R. Courant and , D. Hilbert, Methods of mathematical physics. Vol. II, Interscience, New York, 1966 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Parameter Integration Cross Ref The causal and anticausal distributions Gα ( P ± i 0, m, n )Integral Transforms and Special Functions, Vol. 19, No. 11 Cross Ref On Marcel Riesz kernel Hα ( P ± i 0, n )Integral Transforms and Special Functions, Vol. 18, No. 6 Cross Ref A generalization of k th derivative of Dirac delta in a hyperconeIntegral Transforms and Special Functions, Vol. 18, No. 2 Cross Ref The Expansion in Series (of Taylor Types) of ( K −1) Derivative of Dirac'S Delta in m 2 + PIntegral Transforms and Special Functions, Vol. 14, No. 2 Cross Ref On The Laplace Transform ofIntegral Transforms and Special Functions, Vol. 10, No. 2 Cross Ref A relation between the kth derivate of the Dirac delta in (P±i0) and the residue of distributions (P±i0)λJournal of Computational and Applied Mathematics, Vol. 108, No. 1-2 Cross Ref The expansion of3 April 2007 | Integral Transforms and Special Functions, Vol. 8, No. 1-2 Cross Ref The distribution δ(k)(P ± i0 − m2)Journal of Computational and Applied Mathematics, Vol. 88, No. 2 Cross Ref The expansion and Fourier's transform ofIntegral Transforms and Special Functions, Vol. 3, No. 2 Cross Ref The Distributional Hankel Transform of δ (k) ( m2 × P28 September 2015 | Studies in Applied Mathematics, Vol. 83, No. 2 Cross Ref On the Fourier transforms of retarded Lorentz-invariant functionsJournal of Mathematical Analysis and Applications, Vol. 84, No. 1 Cross Ref Regularisierte Faltung von Distributionen. Teil 2: Eine Tabelle von FundamentallösungenZeitschrift für angewandte Mathematik und Physik ZAMP, Vol. 31, No. 1 Cross Ref On the Equation of Euler–Poisson–DarbouxD. W. Bresters17 February 2012 | SIAM Journal on Mathematical Analysis, Vol. 4, No. 1AbstractPDF (817 KB) Volume 16, Issue 3| 1968SIAM Journal on Applied Mathematics History Submitted:26 April 1967Published online:12 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0116045Article page range:pp. 563-581ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics