ArticleOriginal scientific text

Title

The Taylor transformation of analytic functionals with non-bounded carrier

Authors 1

Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

Let L be a closed convex subset of some proper cone in ℂ. The image of the space of analytic functionals Q'(L) with non-bounded carrier in L under the Taylor transformation as well as the representation of analytic functionals from Q'(L) as the boundary values of holomorphic functions outside L are given. Multipliers and operators in Q'(L) are described.

Bibliography

  1. E. Hille, Analytic Function Theory, Vols. 1 and 2, Chelsea, New York, 1959, 1962.
  2. G. Łysik, Generalized Taylor expansions of singular functions, Studia Math. 99 (1991), 235-262.
  3. M. Morimoto, Analytic functionals with non-compact carrier, Tokyo J. Math. 1 (1978), 77-103.
  4. Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer, Dordrecht, 1992.
  5. J. C. Tougeron, Gevrey expansions and applications, preprint, University of Toronto, 1991.
  6. B. Ziemian, The Mellin transformation and multidimensional generalized Taylor expansions of singular functions, J. Fac. Sci. Univ. Tokyo 36 (1989), 263-295.
  7. B. Ziemian, Elliptic corner operators in spaces with continuous radial asymptotics I, J. Differential Equations 101 (1993), 28-57.
  8. B. Ziemian, Generalized Analytic Functions, book in preparation.
Pages:
159-176
Main language of publication
English
Received
1992-12-01
Accepted
1993-08-18
Published
1994
Exact and natural sciences