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Displaying similar documents to “Non-existence of singular cusp forms”

Decomposition in the large of two-forms of constant rank

Ibrahim Dibag (1974)

Annales de l'institut Fourier

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The purpose of this paper is to find necessary and sufficient conditions for globally-decomposing an exterior 2-form w , of constant rank 2 s , on a vector-bundle E , as a sum : w = y 1 y s + 1 + + y s y 2 s . The general theory is applied to low dimensional manifolds, spheres, real and complex projective spaces.

Trace and determinant in Banach algebras

Bernard Aupetit, H. Mouton (1996)

Studia Mathematica

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We show that the trace and the determinant on a semisimple Banach algebra can be defined in a purely spectral and analytic way and then we obtain many consequences from these new definitions.