Preface
Contributors
1 Random Measures in Infinite-Dimensional Dynamics
Palle E.T.Jorgensen and Feng Tian
1.1 Introduction,history,and motivation
1.2 RKHSs in measurable category:new settings for positivity
conditions
1.3 Lloc²(λ)vs L²(λ):Local versus global L²-conditions
1.4 Continuous networks:Atomic versus non-atomic models
1.5 New correspondences
A.1 Applications of RKHSs:An overview
A.2 Duality of representations,and some of their applications
2 Extensions of Some Matrix Inequalities via Matrix Means
Takeaki Yamazaki
2.1 Matrix monotone function
2.2 Matrix means
2.3 Matrix power mean
2.4 Karcher mean
3 Functional Equations on Affine Groups
Laszlo Szekelyhidi
3.1Introduction
3.2 Semidirect products
3.3 Linear groups
3.4 Affine groups
3.5 Invariant functions and measures
3.6 Spherical functions and functional equations
3.7 Functional equations on Euclidean motion groups
3.8 Affine groups of generalized orthogonal groups
……
