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On a space of entire functions rapidly decreasing on Rn and its Fourier transform

100%

Musin I. d. K.

Concrete Operators

2015

tom 2

nr 1

A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper. For such space an equivalent description in terms of estimates on all of its partial derivatives as functions on Rn and a Paley-Wiener type theorem are obtained.

An application of the Fourier transform to optimization of continuous 2-D systems

88%

Dymkou V., Dymkov M.

International Journal of Applied Mathematics and Computer Science

2003

tom 13

nr 1

45-54

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.

Ograniczanie wyników

1 Concrete Operators

1 International Journal of Applied Mathematics and Computer Science

1 Dymkou V.

1 Dymkov M.

1 Musin I. d. K.

1 2015

1 2003

Wyniki wyszukiwania

On a space of entire functions rapidly decreasing on Rn and its Fourier transform

An application of the Fourier transform to optimization of continuous 2-D systems