# The Taylor transformation of analytic functionals with non-bounded carrier

Studia Mathematica (1994)

- Volume: 108, Issue: 2, page 159-176
- ISSN: 0039-3223

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topŁysik, Grzegorz. "The Taylor transformation of analytic functionals with non-bounded carrier." Studia Mathematica 108.2 (1994): 159-176. <http://eudml.org/doc/216047>.

@article{Łysik1994,

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.},

author = {Łysik, Grzegorz},

journal = {Studia Mathematica},

keywords = {image of the space of analytic functionals with non-bounded carrier; multipliers; Taylor transformation; representation of analytic functionals; boundary value of holomorphic functions},

language = {eng},

number = {2},

pages = {159-176},

title = {The Taylor transformation of analytic functionals with non-bounded carrier},

url = {http://eudml.org/doc/216047},

volume = {108},

year = {1994},

}

TY - JOUR

AU - Łysik, Grzegorz

TI - The Taylor transformation of analytic functionals with non-bounded carrier

JO - Studia Mathematica

PY - 1994

VL - 108

IS - 2

SP - 159

EP - 176

AB - 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.

LA - eng

KW - image of the space of analytic functionals with non-bounded carrier; multipliers; Taylor transformation; representation of analytic functionals; boundary value of holomorphic functions

UR - http://eudml.org/doc/216047

ER -

## References

top- [1] E. Hille, Analytic Function Theory, Vols. 1 and 2, Chelsea, New York, 1959, 1962. Zbl0088.05204
- [2] G. Łysik, Generalized Taylor expansions of singular functions, Studia Math. 99 (1991), 235-262. Zbl0742.46022
- [3] M. Morimoto, Analytic functionals with non-compact carrier, Tokyo J. Math. 1 (1978), 77-103. Zbl0384.46027
- [4] Z. Szmydt and B. Ziemian, The Mellin Transformation and Fuchsian Type Partial Differential Equations, Kluwer, Dordrecht, 1992. Zbl0771.35002
- [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. Zbl0713.46025
- [7] B. Ziemian, Elliptic corner operators in spaces with continuous radial asymptotics I, J. Differential Equations 101 (1993), 28-57. Zbl0777.47028
- [8] B. Ziemian, Generalized Analytic Functions, book in preparation.

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