Tohoku Mathematical Journal
2012
June
SECOND SERIES VOL. 64, NO. 2

Tohoku Math. J.
64 (2012), 223-231

Title REPRESENTATION OF SCHRÖDINGER OPERATOR OF A FREE PARTICLE VIA SHORT-TIME FOURIER TRANSFORM AND ITS APPLICATIONS

Author Keiichi Kato, Masaharu Kobayashi and Shingo Ito

(Received August 31, 2010, revised May 6, 2011)
Abstract. We propose a new representation of the Schrödinger operator of a free particle by using the short-time Fourier transform and give its applications.

2000 Mathematics Subject Classification. Primary 35C15; Secondary 42B35.
Key words and phrases. Schrödinger operator, Short-time Fourier transform, Modulation space.

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