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- NOBUHIRO ASAI, IZUMI KUBO
- 1999

Being motivated by the work of Cochran et al. on the Gel'fand triple E] (L 2) E] , we are led to nd elementary functions to replace the exponential generating functions G and G 1== for the characterization of generalized and test functions. We deene the Legendre transformù for u in C +;log and the L-function L u when u 2 C +;log is (log, exp)-convex. We… (More)

- Satoshi Ikeda, Izumi Kubo, Norihiro Okumoto, Masafumi Yamashita
- ICALP
- 2003

It is just amazing that both of the cover time and the mean hitting time of a random walk on a finite graph, in which the vertex visited next is selected from the adjacent vertices at random with the same probability, are bounded by O(n 3) for any undirected graph with order n, despite of the lack of global topological information. Thus a natural guess is… (More)

- NOBUHIRO ASAI, IZUMI KUBO
- 1999

Let fb k (n)g 1 n=0 be the Bell numbers of order k. It is proved that the sequence fb k (n)=n!g 1 n=0 is log-concave and the sequence fb k (n)g 1 n=0 is log-convex, or equivalently, the following inequalities hold for all n 0, 1 b k (n + 2)b k (n) b k (n + 1) 2 n + 2 n + 1 : Let f(n)g 1 n=0 be a sequence of positive numbers with (0) = 1. We show that if… (More)

- NOBUHIRO ASAI, IZUMI KUBO
- 1999

We prove a characterization theorem for the test functions in a CKS-space. Some crucial ideas concerning the growth condition are given.

- Satoshi Ikeda, Izumi Kubo, Masafumi Yamashita
- Theor. Comput. Sci.
- 2009

- Izumi Kubo, Ayse Saka
- J. Knowledge Management
- 2002

The knowledge base of companies is increasingly seen as underlying a firm's performance, and the role of knowledge workers within this framework is seen as strongly associated with a firm's competitive performance. This perspective views the effective management of knowledge workers as crucial in sustaining an organisation's competitive advantage. The paper… (More)

- Satoshi Ikeda, Izumi Kubo, Norihiro Okumoto, Masafumi Yamashita
- IEEE Trans. Parallel Distrib. Syst.
- 2002

- Nobuhiro Asai, Izumi Kubo
- 2002

Let µ be a probability measure on the real line with finite moments of all orders. Apply the Gram-Schmidt orthogonalization process to the system leading coefficient 1 and satisfy (x − αn)Pn(x) = P n+1 (x) + ωnP n−1 (x). In general it is almost impossible to use this process to compute the explicit form of these polynomials. In this paper we use the… (More)

- Nobuhiro Asai, Izumi Kubo
- 2003

Let µ be a probability measure on the real line with finite moments of all orders. Suppose the linear span of polynomials is dense in L 2 (µ). Then there exists a sequence {Pn} ∞ n=0 of orthogonal polynomials with respect to µ such that Pn is a polynomial of degree n with leading coefficient 1 and the equality (x − αn)Pn(x) = P n+1 (x) + ωnP n−1 (x) holds,… (More)

- Nobuhiro Asai, Izumi Kubo
- 2001

In the recent paper [3] by Asai et al., the growth order of holomorphic functions on a nuclear space has been considered. For this purpose, certain classes of growth functions u are introduced and many properties of Legendre transform of such functions are investigated. In [4], applying Le-gendre transform of u under the conditions (U0), (U2) and (U3) (see… (More)