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Super Howe duality and rigidity of hybrid Fourier transforms
We characterize the hybrid Fourier transform on the Schwartz--Grassmann space $\caS(\bbR^m)\otimesΛ_{2n}$ by operator intertwining relations. Using the bosonic oscillator Howe decomposition and the fermionic Lefschetz decomposition, we describe the action of the hybrid Fourier transform on both tens
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