33 citations · 61 across the 18 of their papers we have counts for
18 papers
Lectures on Super Analysis -- Why necessary and What's that?
Atsushi Inoue
Roughly speaking, RA(=real analysis) means to study properties of (smooth) functions defined on real space, and CA(=complex analysis) stands for studying properties of (holomorphic…
Remarks on elementary integral calculus for supersmooth functions on superspace
Atsushi Inoue
After introducing Berezin integral for polynomials of odd variables, we develop the elementary integral calculus based on supersmooth functions on the superspace ${\mathfrak{R}}^{m…
Non-self-adjoint hamiltonians defined by Riesz bases
F. Bagarello, A. Inoue, C. Trapani
We discuss some features of non-self-adjoint Hamiltonians with real discrete simple spectrum under the assumption that the eigenvectors form a Riesz basis of Hilbert space. Among o…
Non-self-adjoint resolutions of the identity and associated operators
A. Inoue, C. Trapani
Closed operators in Hilbert space defined by a non-self-adjoint resolution of the identity $\{X(λ)\}_{λ\in {\mb R}}$, whose adjoints constitute also a resolution of the identity, a…
Weak commutation relations of unbounded operators: nonlinear extensions
Fabio Bagarello, Atsushi Inoue, Camillo Trapani
We continue our analysis of the consequences of the commutation relation $[S,T]=\Id$, where and are two closable unbounded operators. The {\em weak} sense of this commutato…
Induced and reduced unbounded operator algebras
Fabio Bagarello, Atsushi Inoue, Camillo Trapani
The induction and reduction precesses of an O*-vector space $\M$ obtained by means of a projection taken, respectively, in $\M$ itself or in its weak bounded commutant $\M'_\w$ are…