The main focus of my recent research can be characterized as inquiries into mathematical structures of economic theories from the standpoint of functional analysis. In particular, the following topics have been the targets of the intensive study of my laboratory.

I. Variational problems arising in economic analysis (existence theory in particular)
1. analysis of nonlinear integral operators,
2. properties of Sobolev spaces endowed with the weak topology,
3. disintegration of Radon measures.

II. Mathematical analysis of business cycles (deterministic and stochastic)
1. bifunction methods for periodicity,
2. analysis of Poincaré maps,
3. Fourier analysis of weakly stationary processes.

III. Mathematical structures of general equilibrium theory (including set-valued and convex analysis)