An analogue of the argument theorem of Bohr and its application
Wojciech Chojnacki (1984)
Studia Mathematica
Gardner, R.J., Koldobsky, A., Schlumprecht, T. (1999)
Annals of Mathematics. Second Series
T. Wegner (1988)
Applicationes Mathematicae
Yoram Sagher (1972)
Studia Mathematica
E.S. Katsoprinakis, V. Nestoridis (1994)
Mathematische Annalen
Michael Cowling (1979)
Mathematische Annalen
Vitali Dymkou, Michael Dymkov (2003)
International Journal of Applied Mathematics and Computer Science
This paper uses the theory of entire functions to study the linear quadratic optimization problem for a class of continuous 2D systems. We show that in some cases optimal control can be given by an analytical formula. A simple method is also proposed to find an approximate solution with preassigned accuracy. Some application to the 1D optimization problem is presented, too. The obtained results form a theoretical background for the design problem of optimal controllers for relevant processes.
Ferenc Weisz (1993)
Studia Mathematica
Some duality results and some inequalities are proved for two-parameter Vilenkin martingales, for Fourier backwards martingales and for Vilenkin and Fourier coefficients.
Daniel Oberlin (1981)
Studia Mathematica
R. Caballero, A. de la Torre (1985)
Studia Mathematica
Garrido, A., Arvesú, J., Marcellán, F. (2005)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
David Jerison (1990)
Forum mathematicum
Benoît F. Sehba (2014)
Annales Polonici Mathematici
In the two-parameter setting, we say a function belongs to the mean little BMO if its mean over any interval and with respect to any of the two variables has uniformly bounded mean oscillation. This space has been recently introduced by S. Pott and the present author in relation to the multiplier algebra of the product BMO of Chang-Fefferman. We prove that the Cotlar-Sadosky space of functions of bounded mean oscillation is a strict subspace of the mean little BMO.
A.M. Alphonse (2000)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Daniel M. Oberlin (1996)
Revista Matemática Iberoamericana
Miklaszewski, Dariusz (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Richard Hunt (1972)
Studia Mathematica
Beriša, Muharem C. (1985)
Publications de l'Institut Mathématique. Nouvelle Série
S. M. Mazhar (1985)
Matematički Vesnik
R. Bojanic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]