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math.FA2026
Modulation spaces: from Feichtinger's original definition to modern Gabor and symplectic characterizations
Antonio Caputo, Elena Cordero, Gianluca Giachi +1
We present an expository excursus on modulation spaces, from Feichtinger's original construction on locally compact abelian groups to recent symplectic formulations. We trace the s…
math.AP2026
The filter of singularities in global anisotropic microlocal analysis
Luigi Rodino, Patrik Wahlberg
We define a filter of time-frequency anisotropic global singularities of phase space for tempered distributions. The filter contains information from the corresponding anisotropic…
math.AP2026
The metaplectic semigroup and its applications to time-frequency analysis and evolution operators
Gianluca Giacchi, Luigi Rodino, Davide Tramontana
We develop a systematic analysis of the metaplectic semigroup associated with positive complex symplectic matrices, a notion introduced almost simulta…