Characterization of Mellin distributions supported by certain noncompact sets

Szmydt, Zofia; Ziemian, Bogdan

Studia Mathematica, Tome 103 (1992), p. 25-38 / Harvested from The Polish Digital Mathematics Library

Résumé

A class of distributions supported by certain noncompact regular sets K are identified with continuous linear functionals on $C_{0}^{\infty} (K)$ . The proof is based on a parameter version of the Seeley extension theorem.

Publié le : 1992-01-01

Zbl 0810.46035

EUDML-ID : urn:eudml:doc:215911

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     author = {Zofia Szmydt and Bogdan Ziemian},
     title = {Characterization of Mellin distributions supported by certain noncompact sets},
     journal = {Studia Mathematica},
     volume = {103},
     year = {1992},
     pages = {25-38},
     zbl = {0810.46035},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv102i1p25bwm}
}

Szmydt, Zofia; Ziemian, Bogdan. Characterization of Mellin distributions supported by certain noncompact sets. Studia Mathematica, Tome 103 (1992) pp. 25-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv102i1p25bwm/

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[00003] [4] B. Ziemian, The Mellin transformation and multidimensional generalized Taylor expansions of singular functions, J. Fac. Sci. Univ. Tokyo 36 (1989), 263-295. | Zbl 0713.46025