Introduction to sublinear analysis~--~2: symmetric case

I. V. Orlov ; I. V. Baran

Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 57 (2015), pp. 108-161.

Résumé

The advanced theory of the first and higher symmetric Fréchet differentials and $K$-subdifferentials is constructed including the mean value theorem and the Taylor formula. We give simple sufficient conditions for symmetric $K$-subdifferentiability and consider some applications to Fourier series and variational functionals.

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