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A MAPPING FROM THE UNITARY TO DOUBLY STOCHASTIC MATRICES AND SYMBOLS ON A FINITE SET

By Alexander V. Karabegov

Abstract

Abstract. We prove that the mapping from the unitary to the doubly stochastic matrices that maps a unitary matrix (ukl) to the doubly stochastic matrix (|ukl | 2) is a submersion for almost all unitary matrices. The proof uses the framework of operator symbols on a finite set

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