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Paper IPM / M / 17629 | ||||||||||||||||||
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Abstract: | ||||||||||||||||||
A notion of pseudo-differential on Riemannian manifolds isconsidered and a subdifferential calculus related to this sub-differential is presented and then by definition of pseudo-Hessian, a version of Taylorâs expansion theorem is obtained.Moreover, characterizations of generalized convexity of con-tinuous functions are obtained in terms of the generalizedmonotonicity of pseudo-differentials.
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