More precisely, let X be a Banach space and X⁎ be its dual.
More precisely, let (fk k= 1n be a sequence of positive (symmetrically distributed) independent random variables and let Φ be an Orlicz function with Δ2-condition.
More precisely, let M be the monodromy matrix of the S-periodic orbits, then we get the formula relating the characteristic polynomial of the matrix SM and the conditional Fredhom determinant.
More precisely, let λ∈C such that R>η−1 (2η being the genus of X) and let F be a C-valued function on X satisfying the following Hua system of second order differential equations:HqF="(λ2−η2)32η2FZ.
More precisely, let G be a nilpotent stratified Lie group and f be in the localized non-isotropic Sobolev space Wm,ploc(G), where 1⩽p
More precisely, let with, and.
More precisely, let us introduce the following.
More precisely, let us first recall some related notations.
More precisely, let and, find such that (3.6).
More precisely, let Σ be a set of network symmetries.
More precisely, let Λ be a closed f-invariant set.
