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Almost analytic extension of ultradifferentiable functions and the boundary values of holomorphic functions

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References

  1. Björck, G.: Linear partial differential operators and generalized distributions. Ark. Mat.6, 351–407 (1966)

    Google Scholar 

  2. Komatsu, H.: Ultradistributions I. Structure theorems and a characterization. J. Fac. Sci. Tokyo20, 25–105 (1973)

    Google Scholar 

  3. Mandelbrojt, S.: Séries adherentes, regularisations des suites, applications. Paris: Gauthier-Villars 1952

    Google Scholar 

  4. Mather, J.N.: On Nirenberg's proof of Malgrange's preparation theorem. In: Proceedings of Liverpool Singularities Symposium I, Liverpool 1969/70, C.T.C. Wall (ed.) Lecture Notes in Math. 192, pp. 116–120. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  5. Peetre, J.: Concave majorants of positive functions. Acta Math. Acad. Sci. Hung21, 327–333 (1970)

    Google Scholar 

  6. Petzsche, H.-J.: Die Nuklearität der Ultradistributionsräume und der Satz von Kern I. Manuscripta Math.24, 133–171 (1978)

    Google Scholar 

  7. Petzsche, H.-J.: Fast analytische Ausdehnung ultradifferenzierbarer Funktionen, die auf Teilmengen von ℂN definiert sind. Preprint, Universität Düsseldorf 1981

  8. Rudin, W.: Division in algebras of infinitely differentiable functions. J. Math. Mech.11, 797–809 (1962)

    Google Scholar 

  9. Tillmann, H.G.: Randverteilung analytischer Funktionen und Distributionen. Math. Z.59, 61–83 (1953)

    Google Scholar 

  10. Vogt, D.: Vektorwertige Distributionen als Randverteilungen holomorpher Funktionen. Manuscripta Math.17, 267–290 (1975)

    Google Scholar 

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Authors and Affiliations

  1. Mathematisches Institut der Universität, Universitätsstrasse 1, D-4000, Düsseldorf 1, Germany

    Hans-Joachim Petzsche

  2. Fachbereich Mathematik, Universität-Gesamthochschule Wuppertal, Gaußstrasse 20, D-5600, Wuppertal 1, Germany

    Dietmar Vogt

Authors
  1. Hans-Joachim Petzsche
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  2. Dietmar Vogt
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Petzsche, HJ., Vogt, D. Almost analytic extension of ultradifferentiable functions and the boundary values of holomorphic functions. Math. Ann. 267, 17–35 (1984). https://doi.org/10.1007/BF01458468

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  • DOI: https://doi.org/10.1007/BF01458468

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