The Taylor transformation of analytic functionals with non-bounded carrier

• Autorzy: Grzegorz Łysik
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46F15: Hyperfunctions, analytic functionals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 108
• Numer: 2
• Strony: 159-176

Daty

wydano

1994

otrzymano

1992-12-01

poprawiono

1993-08-18

Twórcy

autor

Grzegorz Łysik

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

Bibliografia

• [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.