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math.FA2018
Modulation spaces with scaling symmetry
Árpád Bényi, Tadahiro Oh
We indicate how to construct a family of modulation function spaces that have a scaling symmetry. We also illustrate the behavior of the Schrödinger multiplier on such function spa…
math.FA2010
Modulation spaces, Wiener amalgam spaces, and Brownian motions
Árpád Bényi, Tadahiro Oh
We study the local-in-time regularity of the Brownian motion with respect to localized variants of modulation spaces M^{p, q}_s and Wiener amalgam spaces W^{p, q}_s. We show that t…