Extension of Sato's hyperfunctions
Langenbruch, Michael
Funct. Approx. Comment. Math., Tome 44 (2011) no. 1, p. 33-44 / Harvested from Project Euclid
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We characterize possible bounds for representing functions of arbitrary hyperfunctions. Specifically, there are always representing functions decreasing rapidly outside each strip near $\mathbb{R}$. Also, exponential decrease of any type on any strip $\mathbb{R}\times \pm i[c,C], 0
Publié le : 2011-03-15
Classification:  hyperfunctions,  Fourier hyperfunctions,  representing functions,  vector valued hyperfunctions,  32A45,  46F15 
@article{1301497745,
     author = {Langenbruch, Michael},
     title = {Extension of Sato's hyperfunctions},
     journal = {Funct. Approx. Comment. Math.},
     volume = {44},
     number = {1},
     year = {2011},
     pages = { 33-44},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1301497745}
}

Langenbruch, Michael. Extension of Sato's hyperfunctions. Funct. Approx. Comment. Math., Tome 44 (2011) no. 1, pp.  33-44. http://gdmltest.u-ga.fr/item/1301497745/