Averaging almost-periodic functions and finite-dimensional unitary representations on free groups

1989 ◽  
Vol 28 (4) ◽  
pp. 332-335
Author(s):  
A. Gorbis ◽  
A. Tempelman
Keyword(s):  
Free Groups ◽  
Almost Periodic Functions ◽  
Unitary Representations ◽  
Almost Periodic ◽  
Periodic Functions ◽  
Finite Dimensional

scholarly journals Asymptotic Almost Periodic Functions with Range in a Topological Vector Space

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Liaqat Ali Khan ◽  
Saud M. Alsulami
Keyword(s):  
Vector Space ◽  
Topological Vector Space ◽  
Almost Periodic Functions ◽  
Almost Periodicity ◽  
Almost Periodic ◽  
Periodic Functions ◽  
Range Space ◽  
Finite Dimensional ◽  
Locally Convex ◽  
Dimensional Range

The notion of asymptotic almost periodicity was…first introduced by Fréchet in 1941 in the case of…finite dimensional range spaces. Later, its extension to the case of Banach range spaces and locally convex range spaces has been considered by several authors. In this paper, we have generalized the concept of asymptotic almost periodicity to the case where the range space is a general topological vector space, not necessarily locally convex. Our results thus widen the scope of applications of asymptotic almost periodicity.

Almost periodic functions

Mathematika ◽  
1955 ◽  
Vol 2 (2) ◽  
pp. 128-131 ◽  
Author(s):  
J. D. Weston
Keyword(s):  
Almost Periodic Functions ◽  
Almost Periodic ◽  
Periodic Functions

scholarly journals Almost periodic functions and hyperbolic counting

2018 ◽  
Vol 14 (09) ◽  
pp. 2343-2368
Author(s):  
Giacomo Cherubini
Keyword(s):  
Asymptotic Variance ◽  
Limiting Distribution ◽  
Almost Periodic Functions ◽  
Specific Class ◽  
Almost Periodic ◽  
Periodic Functions ◽  
Circle Problem

We prove the existence of asymptotic moments and an estimate on the tails of the limiting distribution for a specific class of almost periodic functions. Then we introduce the hyperbolic circle problem, proving an estimate on the asymptotic variance of the remainder that improves a result of Chamizo. Applying the results of the first part we prove the existence of limiting distribution and asymptotic moments for three functions that are integrated versions of the remainder, and were considered originally (with due adaptations to our settings) by Wolfe, Phillips and Rudnick, and Hill and Parnovski.

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