WebEvery Weyl almost periodic function is Besicovitch almost periodic, and therefore Theorem 5 provides a counterexample to Theorem 2 with the class of almost periodic distributions replaced by the classes of Weyl and Besicovitch almost periodic functions [taking y = 0, we get D(u) = /«/; this function is invertible for every w T 0]. 3. Webvector space containing all the continuous periodic functions, one sees that every element of this vector space satisfies Condition A. If one now completes the space by using the topology of uniform convergence on R, then one gets the linear space of all functions satisfying Condition A. We call this space AP, the space of almost periodic ...
Almost-Periodic Functions and Functional Equations
WebDiscusses basic properties of almost automorphic functions in Banach spaces and their generalizations. Presents open problems for almost periodicity in nonlocally convex … Webproviding a uni cation concept for all classes of almost periodic functions examined in [10,26{28]. The Stepanov classes of ˆ-almost periodic functions can be viewed as some very special classes of metrical ˆ-almost periodic functions; as indicated in [19], this is no longer true for the Weyl classes of ˆ-almost periodic functions. russia and baltic sea cruise
arXiv:2208.01304v1 [math.FA] 2 Aug 2024
Web1 de abr. de 2024 · Almost-periodic function A function representable as a generalized Fourier series. There are several ways of defining classes of almost-periodic … WebKey Words: Stepanov p-almost periodic type functions, Weyl p-almost periodic type functions, composition principles, abstract semilinear Cauchy inclusions, Banach spaces. This research was supported by grant 174024 of Ministry of Science and Technological Devel-opment, Republic of Serbia. Web15 de set. de 2024 · In this paper, we prove the completeness of the space of weighted Stepanov-like pseudo almost automorphic (periodic) functions under weak conditions. That is, for every ρ ∈ U ∞, the space of weighted Stepanov-like pseudo almost automorphic (periodic) functions is complete under the norm ‖ ⋅ ‖ S p. russia and boeing