Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/a-bohr-like-compactification-and-summability-of-fourier-series-bajP47ZhL0
References (32)
-
G. Murphy (1990)
C*-Algebras and Operator Theory -
E. Hewitt (2010)
LINEAR FÜNCTIONALS ON ALMOST PERIODIC FUNCTIONS -
Chuanyi Zhang (2006)
Strong Limit Power FunctionsJournal of Fourier Analysis and Applications, 12
-
(1993)
Methods,Orthogonality, and Oscillatory Integrals, with the assistance -
R. Douglas (1972)
Banach Algebra Techniques in Operator Theory -
A. Fink (1974)
Almost Periodic Differential Equations -
Chuanyi Zhang (2003)
Almost Periodic Type Functions and Ergodicity -
P. Mäkilä, J. Partington, T. Norlander (1999)
Bounded Power Signal Spaces for Robust Control and ModelingSiam Journal on Control and Optimization, 37
-
P. Makila (2000)
On three puzzles in robust controlIEEE Transactions on Automatic Control, 45
-
N. Lloyd (1984)
ALMOST PERIODIC FUNCTIONS AND DIFFERENTIAL EQUATIONSBulletin of The London Mathematical Society, 16
-
(1960)
General Theorey of Banach Algebras -
J. Goodman (1969)
Introduction to Fourier optics -
Chuanyi Zhang, Chenhui Meng (2006)
C*-algebra of strong limit power functionsIEEE Trans. Autom. Control., 51
-
A. Rihaczek (1969)
Principles of high-resolution radar -
J. Partington (2004)
Linear Operators and Linear Systems: Closed operators -
J. Mari (1996)
A counterexample in power signals spaceIEEE Trans. Autom. Control., 41
-
L. Hörmander (1990)
The analysis of linear partial differential operators -
Gerald Kaiser (1994)
A Friendly Guide to Wavelets -
K. Deleeuw, I. Glicksberg (1961)
Applications of almost periodic compactificationsActa Mathematica, 105
-
S. Morris (1977)
Pontryagin Duality and the Structure of Locally Compact Abelian Groups -
(1944)
On some type of functional spaces, a contribution to the theory of almost periodic functions -
J. Partington, Banu Ünalmiş (2001)
On the Windowed Fourier Transform and Wavelet Transform of Almost Periodic FunctionsApplied and Computational Harmonic Analysis, 10
-
P. Mäkilä (2000)
On three puzzles in robust controlIEEE Trans. Autom. Control., 45
-
L. Amerio, G. Prouse (1971)
Almost-periodic functions and functional equations -
(1991)
Radar and Sonar, Part I -
P. Date, G. Vinnicombe (2001)
Measuring distance between systems under bounded power excitationProceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2
-
H. Bohr, Erling Følner (1944)
On some types of functional spacesActa Mathematica, 76
-
C. Heil (2006)
Harmonic Analysis and Applications -
Chuanyi Zhang (2004)
New limit power function spacesIEEE Transactions on Automatic Control, 49
-
(1971)
, ProuseG . : Almost Periodic Functions and Functional Equations -
(1961)
Applications of almost periodic compactifications.Acta Math -
J. Berglund, H. Junghenn, P. Milnes (1989)
Analysis on Semigroups: Function Spaces, Compactifications, Representations
- Publisher
- de Gruyter
- Copyright
- © de Gruyter 2009
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/FORUM.2009.017
- Publisher site
- See Article on Publisher Site
Abstract
In this paper the strong limit power functions are extended from ℝ + to ℝ. A group Q is found whose dual group is shown to be a Bohr-like compactification of ℝ. Some characterizations of the compactification are established. The compactification is applied to investigate properties of strong limit power functions. The normality of the functions is proven. A converse problem is investigated. The summability of the Fourier series is set up.
Journal
Forum Mathematicum – de Gruyter
Published: Mar 1, 2009