Characterization of Mellin distributions supported by certain noncompact sets

Zofia Szmydt; Bogdan Ziemian

Studia Mathematica (1992)

  • Volume: 102, Issue: 1, page 25-38
  • ISSN: 0039-3223

Abstract

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A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on C 0 ∞ ( K ) . The proof is based on a parameter version of the Seeley extension theorem.

How to cite

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Szmydt, Zofia, and Ziemian, Bogdan. "Characterization of Mellin distributions supported by certain noncompact sets." Studia Mathematica 102.1 (1992): 25-38. <http://eudml.org/doc/215911>.

@article{Szmydt1992,
abstract = {A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on $C_0^∞(K)$. The proof is based on a parameter version of the Seeley extension theorem.},
author = {Szmydt, Zofia, Ziemian, Bogdan},
journal = {Studia Mathematica},
keywords = {Mellin distributions; distributions supported by certain noncompact regular sets; Seeley extension theorem},
language = {eng},
number = {1},
pages = {25-38},
title = {Characterization of Mellin distributions supported by certain noncompact sets},
url = {http://eudml.org/doc/215911},
volume = {102},
year = {1992},
}

TY - JOUR
AU - Szmydt, Zofia
AU - Ziemian, Bogdan
TI - Characterization of Mellin distributions supported by certain noncompact sets
JO - Studia Mathematica
PY - 1992
VL - 102
IS - 1
SP - 25
EP - 38
AB - A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on $C_0^∞(K)$. The proof is based on a parameter version of the Seeley extension theorem.
LA - eng
KW - Mellin distributions; distributions supported by certain noncompact regular sets; Seeley extension theorem
UR - http://eudml.org/doc/215911
ER -

References

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  1. [1] L. Hörmander, The Analysis of Linear Partial Differential Operators I, Springer, 1985. Zbl0601.35001
  2. [2] R. Melrose, Analysis on Manifolds with Corners, lecture notes, preprint MIT, 1988. 
  3. [3] Z. Szmydt, Fourier Transformation and Linear Differential Equations, PWN, Warszawa, and Reidel, Dordrecht, 1977. 
  4. [4] B. Ziemian, The Mellin transformation and multidimensional generalized Taylor expansions of singular functions, J. Fac. Sci. Univ. Tokyo 36 (1989), 263-295. Zbl0713.46025

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