47 citations · 110 across the 33 of their papers we have counts for
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math.FA2010★ 3 cited
The space of tempered distributions as a k-space
Kei Harada, Hayato Saigo
In this paper, we investigate the roles of compact sets in the space of tempered distributions . The key notion is "k-spaces", which constitute a fairly gener…
math.CT2010
Categorical Nonstandard Analysis
Hayato Saigo, Juzo Nohmi
In the present paper, we propose a new axiomatic approach to nonstandard analysis and its application to the general theory of spatial structures in terms of category theory. Our f…
math.OA2010
Joint cumulants for natural independence
Takahiro Hasebe, Hayato Saigo
Many kinds of independence have been defined in non-commutative probability theory. Natural independence is an important class of independence; this class consists of five independ…