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Zur Faltung von Distributionen

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Literatur

  1. Dierolf, P.: Zwei Räume regulärer, temperierter Distributionen. Habilitationsschrift, München, 1978

  2. Dierolf, P., Voigt, J.: Convolution andL′-convolution of distributions. Collect. Math.29, 185–196 (1978)

    Google Scholar 

  3. Donoghue, W.F., Jr.: Distributions and Fourier transforms. New York: Academic Press 1969

    Google Scholar 

  4. Gårding, L.: Transformation de Fourier des distributions homogènes. Bull. Soc. Math. Fr.89, 381–428 (1961)

    Google Scholar 

  5. Gelfand, I.M., Schilow, G.E.: Verallgemeinerte Funktionen (Distributionen). I. Berlin: VEB Deutscher Verlag der Wissenschaften 1960

    Google Scholar 

  6. Gradshteyn I.S., Ryzhik, I.W.: Table of integrals, series, and products. 4th ed. New York, London: Academic Press 1965

    Google Scholar 

  7. Hirata, Y., Ogata, H.: On the exchange formula for distributions. J. Sci. Hiroshima Univ. Ser. A22, 147–152 (1958)

    Google Scholar 

  8. Horváth, J.: Distribuciones definidas por prolongación analítica. Rev. Colombiana Mat.8, 47–95 (1974)

    Google Scholar 

  9. Horváth, J.: Sur la convolution des distributions. Bull. Sci. Math.98, 183–192 (1974)

    Google Scholar 

  10. Horváth, J.: Composition of hypersingular integral operators. Appl. Anal.7, 171–190 (1978)

    Google Scholar 

  11. Horváth, J., Ortner, N., Wagner, P.: Analytic continuation and convolution of hypersingular higher Hilbert-Riesz kernels. Preprint, 1984

  12. Lemoine, C.: Fourier transforms of homogeneous distributions. Ann. Scuola Norm. Sup. Pisa (3)26, 117–149 (1972)

    Google Scholar 

  13. Ortner, N.: Faltung hypersingulärer Integraloperatoren. Math. Ann.248, 19–46 (1980)

    Google Scholar 

  14. Ortner, N.: Convolution des distributions et des noyaux euclidiens. Séminaire Choquet, Rogalski, Saint Raymond, Année 1979–80, Paris 1980

  15. Ortner, N., Wagner, P.: Sur quelques propriétés des espacesD Lp de Laurent Schwartz. Boll. Unione Mat. Ital. V. Ser. B2, 353–375 (1983)

    Google Scholar 

  16. Roider, B.: Sur la convolution des distributions. Bull. Sci. Math.100, 193–199 (1976)

    Google Scholar 

  17. Rubel, L.A., Squires, W.A., Taylor, B.A.: Irreducibility of certain entire functions with applications to harmonic analysis. Ann. Math.108, 553–567 (1978)

    Google Scholar 

  18. Schwartz, L.: Théorie des distributions. Nouvelle éd. Paris: Hermann 1966

    Google Scholar 

  19. Schwartz, L.: Produits tensoriels topologiques d'espaces vectoriels topologiques. Espaces vectoriels topologiques nucléaires. Applications. Séminaire Schwartz, Année 1953–54, Paris 1954

  20. Shiraishi, R.: On the definition of convolution for distributions. J. Sci. Hiroshima Univ. Ser. A23, 19–32 (1959)

    Google Scholar 

  21. Neri, U.: Singular integrals. Lect. Notes Math. 200. Berlin: Springer 1971

    Google Scholar 

  22. Folland, G.B.: Lectures on partial differential equations. Tata Institute of Fundamental Research, Bombay. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

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Wagner, P. Zur Faltung von Distributionen. Math. Ann. 276, 467–485 (1987). https://doi.org/10.1007/BF01450842

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  • DOI: https://doi.org/10.1007/BF01450842

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