33 citations · 136 across the 28 of their papers we have counts for
28 papers
Scaling limit of Modulation Spaces and Their Applications
Mitsuru Sugimoto, Baoxiang Wang
Modulation spaces were introduced by Feichtinger \cite{Fei83} in 1983. By resorting to the wavelet basis, Bényi and Oh \cite{BeOh20} defined a modified version to Feich…
Spectral identities and smoothing estimates for evolution operators
Matania Ben-Artzi, Michael Ruzhansky, Mitsuru Sugimoto
Smoothing (and decay) spacetime estimates are discussed for evolution groups of self-adjoint operators in an abstract setting. The basic assumption is the existence (and weak conti…
Nonlinear operations on a class of modulation spaces
Tomoya Kato, Mitsuru Sugimoto, Naohito Tomita
We discuss when the nonlinear operation maps the modulation space () to the same space again. It is known that $M^…
A local-to-global boundedness argument and Fourier integral operators
Michael Ruzhansky, Mitsuru Sugimoto
We give a criterion for the global boundedness of integral operators which are known to be locally bounded. As an application, we discuss the global -boundedness for a class o…
Stability of trace theorems on the sphere
Neal Bez, Chris Jeavons, Tohru Ozawa +1
We prove stable versions of trace theorems on the sphere in with optimal constants, thus obtaining rather precise information regarding near-extremisers. We also obtain stabi…
Global regularity properties for a class of Fourier integral operators
Michael Ruzhansky, Mitsuru Sugimoto
While the local -boundedness of nondegeneral Fourier integral operators is known from the work of Seeger, Sogge and Stein, not so many results are available for the global bou…