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Remarks on mapping properties for the Bargmann transform on modulation spaces
Joachim ToftMikael Signahlsubject
Discrete mathematicsMathematics::Functional AnalysisPure mathematicsModulation spaceFunctional analysisApplied MathematicsBanach spaceBijectionInterpolation spaceLp spaceAnalysisHarmonic oscillatorAnalytic functionMathematicsdescription
We investigate the mapping properties for the Bargmann transform and prove that this transform is isometricand bijective from modulation spaces to convenient Banach spaces of analytic functions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-05-01 | Integral Transforms and Special Functions |