Interaction Between Functional Analysis, Harmonic Analysis, and Probability

Local quasinilpotence, cycles and invariant subspaces; invariant mean value and harmonicity in Cartan and Siegel domains; generalized de Leeuw theorems and extension theorems for weak type multipliers; transference couples and their applications to convolution operators and maximal operators; generalized radial limits associated with representing measures; functional calculus for Hilbert space operators with bounded imaginary powers; Machado's theorem and the abstract Bicho decomposition for compact convex sets; commutators and duality in interpolation theory; complex interpolation and complementably minimal spaces; interpolation of some cones of function spaces; points of rapid oscillation for the Brownian sheet via Fourier-Schauder series representation; recapturing some approximate antigradients; on the Fourier type of Banach lattices; on separating ideals of communicative Banach algebras; embedding theorem on spaces of homogeneous type; two examples of randomly stopped sums of independent variables; topics in almost sure approximation of operators in L2-spaces; uniformly normal structure of Orlicz-Lorentz spaces; fixed points of holomorphic mappings and semigroups in Banach spaces - regularity and uniqueness; quantum probabilities and non-commutative Fourier transform on the Heisenberg group; angelic spaces with the Ramsey property; positive definite functions, stable measures and isometries on Banach spaces; an extension of Ehrhard's theorem; on nonstandard methods in functional analysis; transferring the Carleson-Hunt theorem in the setting of Orlicz spaces.