13 citations · 20 across the 5 of their papers we have counts for
5 papers
Differentiability of eigenfunctions of the closures of differential operators with rational coefficient functions
Fuminori Sakaguchi, Masahito Hayashi
In this paper, for an operator defined by the action of an M-th order differential operator with rational-type coefficients on the function space L_k^2(R):={f: measurable | \|f\|_k…
Practical implementation and error bounds of integer-type general algorithm for higher order differential equations
Fuminori Sakaguchi, Masahito Hayashi
In our preceding paper, we have proposed an algorithm for obtaining finite-norm solutions of higher-order linear ordinary differential equations of the Fuchsian type [\sum_m p_m (x…
General theory for integer-type algorithm for higher order differential equations
Fuminori Sakaguchi, Masahito Hayashi
Based on functional analysis, we propose an algorithm for finite-norm solutions of higher-order linear Fuchsian-type ordinary differential equations (ODEs) P(x,d/dx)f(x)=0 with P(x…
Subnormal operators regarded as generalized observables and compound-system-type normal extension related to su(1,1)
Masahito Hayashi, Fuminori Sakaguchi
In this paper, subnormal operators, not necessarily bounded, are discussed as generalized observables. In order to describe not only the information about the probability distribut…
su(1,1) coherent states and a normal extension of su(1,1) annihilation operator: squeezed states and the simultaneous measurement of Q^{-1}P+PQ^{-1} and Q^{-2}
Fuminori Sakaguchi, Masahito Hayashi
The the over-complete eigenvector system of the operator Q^{-1}P (Q:position, P:momentum) which consists of the squeezed states |0; s, t > with various s and t are investigated fro…