19 citations · 62 across the 20 of their papers we have counts for
20 papers
An Elementary but Logical Approach to Integration
Shigeru Yamagami
We present a replacement for traditional Riemann integrals in undergraduate calculus, which supplements naive precalculus and at the same time opens a way to more sophisticated the…
On Shifting Semicircular Roots
Shigeru Yamagami, Hiroaki Yoshida
In the framework of continued fraction expansions of Stieltjes transforms, we consider shifting of semicircular laws. The continuous part of the associated measure admits a density…
On a moment problem of analytic functionals of polynomial hypergroups
Shigeru Yamagami
Related to radial functions on free groups, we focus on certain polynomial hypergroups and work out spectral analysis with the help of the Stieltjes transform of their analytic fun…
Gaussian elements in CCR algebras
Shigeru Yamagami
A system of matrix units in the Weyl algebra of convolution type is constructed with the aid of a Gaussian element so that it includes von Neumann's minimal projection, which expli…
Scaling Flow on Covariance Forms of CCR Algebras
Shigeru Yamagami
In connection with parametric rescaling of free dynamics of CCR, we introduce a flow on the set of covariance forms and investigate its thermodynamic behavior at low temperature wi…
Notes on the bicategory of W*-bimodules
Yusuke Sawada, Shigeru Yamagami
Categories of W*-bimodules are shown in an explicit and algebraic way to constitute an involutive W*-bicategory.