5 citations · 12 across the 9 of their papers we have counts for
9 papers
Quaternionic -vector fields on quaternionic Kähler manifolds
Takayuki Moriyama, Takashi Nitta
In this paper, we define a differential operator as a modified Dirac operator. Using the operator, we introduce a quaternionic -vector field on a quaternionic Kähler manifold an…
Splitting theorem for sheaves of holomorphic -vectors on complex contact manifolds
Takayuki Moriyama, Takashi Nitta
A complex contact structure is defined by a system of holomorphic local -forms satisfying the completely non-integrability condition. The contact structure induces a subbund…
Some examples of global Poisson structures on
Takayuki Moriyama, Takashi Nitta
A Poisson structure is represented by a bivector whose Schouten bracket vanishes. We study a global Poisson structure on associated with a holomorphic Poisson structure on $\…
The "Eating up Assumption", Transversality Conditions, and Steady States for Discrete Time Infinite Horizon Problems
Dapeng Cai, Takashi Gyoshin Nitta
In this paper, we consider how to construct the optimal solutions for a general discrete time infinite horizon optimal control problem. We establish necessary and sufficient condit…
Transversality Conditions for Stochastic Higher-Order Optimality: Continuous and Discrete Time Problems
Dapeng Cai, Takashi Gyoshin Nitta
Higher-order optimization problems naturally appear when investigating the effects of a patent with finite length, as in the pioneering work of Futagami and Iwaisako (2007). In thi…
Transversality Conditions for Higher Order Infinite Horizon Discrete Time Optimization Problems
Dapeng Cai, Takashi Gyoshin Nitta
In this paper, we examine higher order difference problems. Using the "squeezing" argument, we derive both Euler's condition and the transversality condition. In order to derive th…
Limit of the Solutions for the Finite Horizon Problems as the Optimal Solution to the Infinite Horizon Optimization Problems
Dapeng CAI, Takashi Gyoshin NITTA
We aim to generalize the results of Cai and Nitta (2007) by allowing both the utility and production function to depend on time. We also consider an additional intertemporal optima…
Poisson Summation Formula for The Space of Functionals
Takashi Nitta, Tomoko Okada
In our last work, we formulate a Fourier transformation on the infinite-dimensional space of functionals. Here we first calculate the Fourier transformation of infinite-dimensional…
Infinitesimal Fourier Transformation for The Space of Functionals
Takashi Nitta, Tomoko Okada
The purpose is to formulate a Fourier transformation for the space of functionals, as an infinitesimal meaning. We extend to under the base of…