From valuations on convex bodies to convex functions

Integral geometry (53C65) Convexity of real functions of several variables, generalizations (26B25) Dissections and valuations (Hilbert's third problem, etc.) (52B45)

Cites Work

Real-valued valuations on Sobolev spaces
Laplace transforms and valuations
Valuations on Orlicz spaces and $L^\phi$-star sets
$\mathrm{SL}(n)$ invariant valuations on polytopes
Fisher information and matrix-valued valuations
Hermitian integral geometry
Minkowski valuations intertwining the special linear group
Continuous translation invariant valuations on the space of compact convex sets
Continuous rotation invariant valuations on convex sets
Minkowski valuations on convex functions
Valuations on log-concave functions
The support of dually epi-translation invariant valuations on convex functions
The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures
A homogeneous decomposition theorem for valuations on convex functions
Continuous valuations on the space of Lipschitz functions on the sphere
A class of invariant valuations on $\operatorname{Lip}(S^{n -1})$
Valuations on convex functions and convex sets and Monge-Ampère operators
Hadwiger's theorem for definable functions
Integral geometry of complex space forms
Monotone valuations on the space of convex functions
The Hadwiger theorem on convex functions. IV: The Klain approach
Minkowski valuations on $L^p$-spaces
Valuations on Sobolev spaces
Semi-Valuations on $BV(\\mathbb R^n)$
Moments and valuations
Distributions and Valuations
Valuations on Lp-Spaces
Valuations on function spaces
The Centro-Affine Hadwiger Theorem
Hessian valuations
A Characterization of Epi-Convergence in Terms of Convergence of Level Sets
Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes
Variational Analysis
Translation invariant valuations on quasi-concave functions
Valuations on Banach Lattices
Valuations on Convex Functions
Valuations on the Space of Quasi-Concave Functions
Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture
Smooth valuations on convex functions

This page was built for publication: From valuations on convex bodies to convex functions

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6634481)