A homogeneous decomposition theorem for valuations on convex functions

By Andrea Colesanti, Monika Ludwig, F. Mussnig. Journal of Functional Analysis, 2019

48 citations recorded by the source corpus.

Abstract The existence of a homogeneous decomposition for continuous and epi-translation invariant valuations on super-coercive functions is established. Continuous and epi-translation invariant valuations that are epi-homogeneous of degree n are classified. By duality, corresponding results are obtained for valuations on finite-valued convex functions.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/95d72b9a1c5ec0f7525d51acd08f23c41e4f3591

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In Applied Mathematics

1. F. Mussnig
2. Andrea Colesanti
3. Monika Ludwig
4. Franz E. Schuster
5. Yiming Zhao
6. Christoph Haberl
7. Deane Yang
8. Gaoyong Zhang

In Computational Theory and Mathematics

1. Monika Ludwig
2. Andrea Colesanti
3. F. Mussnig
4. Franz E. Schuster
5. Judit Abardia
6. Thomas Wannerer
7. Christoph Haberl

In Mathematical Physics

1. Monika Ludwig
2. F. Mussnig
3. Andrea Colesanti

Citations in the corpus

• The Hadwiger Theorem on Convex Functions, I (2020, methodology): “For the extension, we will use the Moreau–Yosida approximation and the existence of a homogeneous decomposition for epi-translation invariant valuations that was established in [14].”