Almost Periodic Functions
Almost periodic and asymptotically almost periodic functions: part I
... such functions, obtained by using a combination of periodic func- tions, are not periodic, they are not without properties: they are almost periodic ...a periodic exterior ...a ...
19
Discontinuous generalized double-almost-periodic functions on almost-complete-closed time scales
... of almost-complete-closed time scales (ACCTS) that allows independent variables of functions to possess almost-periodicity under ...piecewise functions with double-almost-periodicity is ...
22
Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales
... uniformly almost periodic functions and give some useful and important properties of ...pseudo almost periodic functions which is a new generalization of uniformly almost ...
24
Vector valued means and weakly almost periodic functions
... As applications of the theory of vector-vMued means, .how that the definitions of mean in [2] and [3] are equivalent and the space of vector-valued weakly almost periodic functions is ad[r] ...
11
Composition of piecewise pseudo almost periodic functions and applications to abstract impulsive differential equations
... pseudo almost periodic functions was introduced by Zhang as a natural gen- eralization of the classical concept of almost periodic functions in [, ...these functions and ...
21
On some classes of almost periodic functions in abstract spaces
... of almost periodic functions in the sense of ...are almost periodic in the sense of ...such functions with real values are given in [1, ...
11
On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
... We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power ...
10
Relatively dense sets, corrected uniformly almost periodic functions on time scales, and generalizations
... of functions on an arbitrary time ...local-almost periodic functions on time scales, then local-almost periodic solutions of dynamic equations on time scales can be studied ...
9
Almost Periodic Functions on Topological Groups
... What makes our study different from the usual expositions of almost periodic functions, is that we study this subject from several points of view. This allows us to have a deeper understanding of the ...
107
Composition Theorems of Stepanov Almost Periodic Functions and Stepanov Like Pseudo Almost Periodic Functions
... periodic functions. Moreover, Diagana studied the existence of pseudo-almost periodic solutions to the abstract semilinear evolution equation u t Atut ft, ...pseudo-almost ...
12
Almost periodic functions on Hausdorff almost periodic time scales
... of almost periodic time scales called Haus- dorff almost periodic time scales by using the Hausdorff distance and define almost peri- odic functions on these new time ...Hausdorff ...
14
Characterizations of vector valued weakly almost periodic functions
... We characterize the weak almost periodicity of a vector-valued, bounded, con- tinuous function. We show that if the range of the function is relatively weakly compact, then the relative weak compactness of its ...
10
Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay
... 2.1. Almost periodic ...(uniformly) almost periodic and asymptotically almost periodic sequences, which have been discussed by several au- thors (see, ...For almost ...
15
A measure theoretic result for approximation by Delone sets
... Abstract. With a view to establishing measure theoretic approximation properties of Delone sets, we study a setup which arises naturally in the problem of averaging almost periodic functions along ...
6
Changing periodic time scales and decomposition theorems of time scales with applications to functions with local almost periodicity and automorphy
... ‘changing periodic time scales’, and examined some of their ...on periodic time ...of periodic time ...on periodic time scales, but also opens up new avenues to study local properties of the ...
21
Asymptotically Almost Periodic Solutions of Differential Equations - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... asymptotically almost periodicity of functions it was introduced and studied in the works of Fr´echet [1, ...totically almost periodic sequences in the works of Fan [3] and Precupanu [4] and ...
203
Ergodicity and asymptotically almost periodic solutions of some differential equations
... In this paper, we unify all the results above by ergodicity (for the definition, see Definition 3.1). In Section 2, we show some results on asymptotically almost periodic functions. We then apply ...
14
Non selfadjoint operator algebras generated by unitary semigroups
... Many of the results of isomorphisms of crossed products are concerned with the case of the discrete group Z (see [58]), whereas we also deal with the group of the real numbers endowed again with the discrete topology. ...
172
The convolution induced topology on L∞(G) and linearly dependent translates in L1(G)
... Locally compact group, convolution operator, topology induced by convolution, linearly dependent translates, almost periodic functions.. 1980 MATHEMATICS SUBJECT CLASSIFICATION CODES: i.[r] ...
10
On the existence of asymptotically almost periodic solutions for nonlinear systems
... a periodic or al- most periodic solution of the equation x = A(t, x) + f ...from periodic and almost periodic to asymptotically almost pe- riodic ...asymptotically almost ...
10