A5100727886- Holomorphic and Operator Theory
- Spectral Theory in Mathematical Physics
- Advanced Operator Algebra Research
- Matrix Theory and Algorithms
- Advanced Banach Space Theory
- Advanced Topics in Algebra
- Approximation Theory and Sequence Spaces
- Mathematical Analysis and Transform Methods
- Digital Image Processing Techniques
- Computability, Logic, AI Algorithms
- Neuroscience and Neural Engineering
- Neural dynamics and brain function
- Differential Equations and Boundary Problems
- Topological and Geometric Data Analysis
- Metallic Glasses and Amorphous Alloys
- Advanced Harmonic Analysis Research
- EEG and Brain-Computer Interfaces
- Powder Metallurgy Techniques and Materials
- Advanced Mathematical Modeling in Engineering
- Benford’s Law and Fraud Detection
- graph theory and CDMA systems
- Complexity and Algorithms in Graphs
- Pragmatism in Philosophy and Education
- Law in Society and Culture
- Algebraic and Geometric Analysis
Westsächsische Hochschule Zwickau
1984-2021
Universität Hamburg
2015
Hamburg University of Technology
2015
Chemnitz University of Technology
2008-2014
University of Münster
2014
This paper establishes some of the fundamental barriers in theory computations and finally settles long-standing computational spectral problem. That is to determine existence algorithms that can compute spectra $\mathrm{sp}(A)$ classes bounded operators $A = \{a_{ij}\}_{i,j \in \mathbb{N}} \mathcal{B}(l^2(\mathbb{N}))$, given matrix elements $\{a_{ij}\}_{i,j \mathbb{N}}$, are sharp sense they achieve boundary what a digital computer achieve. Similarly, for Schrödinger operator $H -Δ+V$,...
During the last decades it turned out to be fruitful apply certain Banach algebra techniques in theory of approximation operators by matrix sequences.Here we discuss case operator sequences (acting on infinite dimensional spaces and which do not necessarily converge strongly) derive analogous results concerning stability Fredholm properties such sequences.For this, notions P -Fredholmness -strong convergence play an important role are extensively studied.As application consider finite...
Criteria for the stability of finite sections a large class convolution type operators on $L^p(\mathbb{R})$ are obtained. In this almost all classical symbols permitted, namely multiplication with functions in $[\textrm{PC} ,\textrm{SO}, L^\infty_0]$ and (as well as Wiener-Hopf Hankel operators) $[\textrm{PC},\textrm{SO},\textrm{AP},\textrm{BUC}]_p$. We use simpler more powerful algebraic technique than previous works: application $\mathcal{P}$-theory together rich sequences concept...
The extraction of expressive features from an electroencephalography (EEG) signal is necessary for classification movement and imagination the limbs. We introduce different preprocessing feature algorithms this purpose develop algorithm that selects by their importance. This selection used as evaluation measure features, EEG electrodes. Our results show most influential interpretation are: common spatial patterns, fractal dimensions, well as, variance standard deviation preprocessed data....
Abstract The classes of band-dominated operators and the subclass in Wiener algebra $${\mathcal {W}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>W</mml:mi> </mml:math> are known to be inverse closed. This paper studies extends partially results that type for one-sided generalized invertibility. Furthermore, invertibility, Fredholm property index independent underlying space $$l^p$$ <mml:msup> <mml:mi>l</mml:mi> <mml:mi>p</mml:mi> </mml:msup> , $$1\le p\le \infty $$...