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Modulation spaces: from Feichtinger's original definition to modern Gabor and symplectic characterizations
42b35analysis-of-pdesfunctional-analysismathematical-physicsrepresentation-theorysymplectic-geometry
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 same local-global principle through bounded uniform partitions of unity, the short-time Fourier transform, coorbit method
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