Add to ORKGABSTRACT. We study decompositions of functions in the Hardy spaces into linear com-binations of the basic functions in the orthogonal rational systems {Bn(x)} which can be ob-tained in the respective contexts through Gram-Schmidt orthogonalization process on shifted Cauchy kernels. Those lead to adaptive decompositions of quaternionic-valued signals of finite energy. This study is a generalization of the main result in [10, 11]. KEY WORDS: Hardy space, monogenic, adaptive decomposition, spherical harmonics, Fourier-Laplace series, greedy algorithm, Blaschke product, optimal approximation by ratio
The strict Cauchy-Riemann-Fueter (CRF) analyticity conditions establish that only linear quaternion-...
In this paper, we study harmonic analysis on finite homogeneous spaces whose associated permutation ...
The optimization of real scalar functions of quaternion variables, such as the mean square error or ...
Abstract. We study decomposition of functions in the Hardy space H2(D) into linear combinations of t...
In this paper we consider functions in the Hardy space HpÃ\u97q2defined in the unit disc of matrix-v...
In this paper we consider functions in the Hardy space Hp×q2 defined in the unit disc of matrix-valu...
Abstract We study the adaptive decomposition of functions in the monogenic Hardy spaces H2 by higher...
We propose a practical algorithm of best rational approximation of a given order to a function in th...
Research Doctorate - Doctor of Philosophy (PhD)Fourier analysis has long been studied as a method to...
The central problem of this study is to represent any holomorphic and square integrable function on ...
In dieser Arbeit wird eine neue Theorie der quaternionischen Funktionen vorgestellt, welche das Prob...
A class of nonlinear quaternion-valued adaptive filtering algorithms is proposed based on locally an...
Advances in vector sensor technology have created a need for adaptive nonlinear signal processing in...
AbstractWe provide an overview of complex-data and quaternion-based nonlinear adaptive filtering. Th...
The strict Cauchy-Riemann-Fueter (CRF) analyticity conditions establish that only linear quaternion-...
The strict Cauchy-Riemann-Fueter (CRF) analyticity conditions establish that only linear quaternion-...
In this paper, we study harmonic analysis on finite homogeneous spaces whose associated permutation ...
The optimization of real scalar functions of quaternion variables, such as the mean square error or ...
Abstract. We study decomposition of functions in the Hardy space H2(D) into linear combinations of t...
In this paper we consider functions in the Hardy space HpÃ\u97q2defined in the unit disc of matrix-v...
In this paper we consider functions in the Hardy space Hp×q2 defined in the unit disc of matrix-valu...
Abstract We study the adaptive decomposition of functions in the monogenic Hardy spaces H2 by higher...
We propose a practical algorithm of best rational approximation of a given order to a function in th...
Research Doctorate - Doctor of Philosophy (PhD)Fourier analysis has long been studied as a method to...
The central problem of this study is to represent any holomorphic and square integrable function on ...
In dieser Arbeit wird eine neue Theorie der quaternionischen Funktionen vorgestellt, welche das Prob...
A class of nonlinear quaternion-valued adaptive filtering algorithms is proposed based on locally an...
Advances in vector sensor technology have created a need for adaptive nonlinear signal processing in...
AbstractWe provide an overview of complex-data and quaternion-based nonlinear adaptive filtering. Th...
The strict Cauchy-Riemann-Fueter (CRF) analyticity conditions establish that only linear quaternion-...
The strict Cauchy-Riemann-Fueter (CRF) analyticity conditions establish that only linear quaternion-...
In this paper, we study harmonic analysis on finite homogeneous spaces whose associated permutation ...
The optimization of real scalar functions of quaternion variables, such as the mean square error or ...