Since its invention in 1979 the Feichtinger algebra has become a useful Banach space of
functions with applications in time-frequency analysis, the theory of pseudo-differential …

Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those
parts of mathematics and its applications that use the struc ture of translations and …

The modulation spaces Ms p, q (Rm), s∈ R, 1≤ p, q≤∞ to be discussed in this paper are
Banach spaces of tempered distributions σ on Rm, which are characterized by the behaviour …

In his paper Theory of Communication [Gab46], D. Gabor proposed the use of a family of
functions obtained from one Gaussian by time-and frequency shifts. Each of these is well …

The aim of this book is to give a rigorous and complete treatment of various topics from
harmonic analysis with a strong emphasis on symplectic invariance properties, which are …

This book is based on lectures given at the Global Analysis Research Center (GARC) of
Seoul National University in 1999and at Peking University in 1999and 2000. Preliminary …

We study a class of pseudodifferential operators known as time–frequency localization
operators, Anti-Wick operators, Gabor–Toeplitz operators or wave packets. Given a symbol a …

Let Mp, q denote the modulation space with parameters p, q∈[1,∞]. If 1/p1+ 1/p2= 1+ 1/p0
and 1/q1+ 1/q2= 1/q0, then it is proved that M p1, q1∗ M p2, q2⊂ M p0, q0. The result is …

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Account Menu Find a journal Publish with us Track your research Search Cart 1.Home 2.Modulation …

We investigate the boundedness of unimodular Fourier multipliers on modulation spaces.
Surprisingly, the multipliers with general symbol [Formula: see text], where α∈[0, 2], are …