11 citations · 16 across the 4 of their papers we have counts for
4 papers
Remark on characterization of wave front set by wave packet transform
Keiichi Kato, Masaharu Kobayashi, Shingo Ito
In this paper, we give characterizations of usual wave front set and Sobolev type wave front set in terms of wave packet transform without any restriction on basic wave packet.
Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials
Keiichi Kato, Masaharu Kobayashi, Shingo Ito
In this paper we give new estimates for the solution to the Schrödinger equation with quadratic and sub-quadratic potentials in the framework of modulation spaces.
The inclusion relation between Sobolev and modulation spaces
Masaharu Kobayashi, Mitsuru Sugimoto
The inclusion relations between the -Sobolev spaces and the modulation spaces is determined explicitly. As an application, mapping properties of unimodular Fourier multiplier…
Trace ideals for pseudo-differential operators and their commutators with symbols in -modulation spaces
Masaharu Kobayashi, Mitsuru Sugimoto, Naohito Tomita
In this paper, we consider the trace property of pseudo-differential operators with symbols in -modulation spaces.