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Wyświetlanie 1-15 z 122
Tytuł:
Singular integral models for p-hyponormal operators and the Riemann-Hilbert problem
Autorzy:
Chō, Muneo
Huruya, Tadasi
Itoh, Masuo
Powiązania:
https://bibliotekanauki.pl/articles/1218219.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hilbert space
p-hyponormal operator
singular integral model
Riemann-Hilbert problem
Opis:
The purpose of this paper is to give singular integral models for p-hyponormal operators and apply them to the Riemann-Hilbert problem.
Źródło:
Studia Mathematica; 1998, 130, 3; 213-221
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On new multiple extension of Hilbert’s integral inequality (2)
Autorzy:
Sulaiman, W.T.
Powiązania:
https://bibliotekanauki.pl/articles/745879.pdf
Data publikacji:
2007
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Inequalities
Hilbert inequality
Holder inequality
Opis:
Via Laplace transformation some new generalization of Hardy-Hilbert’s integral inequality is given.
Źródło:
Commentationes Mathematicae; 2007, 47, 1
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On new multiple extension of Hilbert’s integral inequality
Autorzy:
Sulaiman, Waadallah Tawfeeq
Powiązania:
https://bibliotekanauki.pl/articles/746566.pdf
Data publikacji:
2006
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Inequalities
Hilbert inequality
Holder inequality
Opis:
This paper gives a new multiple extension of Hilbert’s integral inequality generalizing many known results.
Źródło:
Commentationes Mathematicae; 2006, 46, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components
Autorzy:
Gil’, Michael
Powiązania:
https://bibliotekanauki.pl/articles/29519485.pdf
Data publikacji:
2024
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Hilbert space
linear operators
eigenvalues
Opis:
Let $ A $ be a bounded linear operator in a complex separable Hilbert space, $ A^∗ $ be its adjoint one and $ A_I := (A − A^∗)//(2i) $. Assuming that $A_I $ is a Hilbert-Schmidt operator, we investigate perturbations of the imaginary parts of the eigenvalues of $ A $. Our results are formulated in terms of the “extended” eigenvalue sets in the sense introduced by T. Kato. Besides, we refine the classical Weyl inequality $ \Sigma_{k=1}^\infty (Im \lambda_k (A))^2 ≤ N_2^2 (A_I) $, where $ λk(A) (k = 1, 2, . . .) $ are the eigenvalues of $ A $ and $ N_2(·) $ is the Hilbert-Schmidt norm. In addition, we discuss applications of our results to the Jacobi operators.
Źródło:
Opuscula Mathematica; 2024, 44, 2; 241-248
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Spectral properties of certain operators on the free Hilbert space ℑ [H1, . . . , HN] and the semicircular law
Autorzy:
Cho, Ilwoo
Powiązania:
https://bibliotekanauki.pl/articles/2049008.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
separable Hilbert spaces
free Hilbert spaces
jump operator
shift operators
jump-shift operators
semicircular elements
Opis:
In this paper, we fix N -many l$\text{}_{2}$-Hilbert spaces Hk whose dimensions are $n_{k} \in \mathbb{N}^{\infty} = \mathbb{N} \cup \{\infty\}$ for $k = 1, \ldots, N \in \mathbb{N} \backslash \{1\}$. And then, construct a Hilbert space $\mathfrak{F} = \mathfrak{F}[H_{1}, \ldots, H_{N}]$ induced by $H_{1}, \ldots, H_{N}$, and study certain types of operators on $\mathfrak{F}$. In particular, we are interested in so-called jump-shift operators. The main results (i) characterize the spectral properties of these operators, and (ii) show how such operators affect the semicircular law induced by $\bigcup_{k=1}^{N} \mathcal{B}_{k}$, where Bk are the orthonormal bases of $H_{k}$ , for k = 1, . . . , N.
Źródło:
Opuscula Mathematica; 2021, 41, 6; 755-803
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hyperspaces of Peano continua of euclidean spaces
Autorzy:
Gladdines, Helma
van Mill, Jan
Powiązania:
https://bibliotekanauki.pl/articles/1208639.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hilbert cube
Hilbert space
absorbing system
Z-set
$F_{σδ}$
hyperspace
Peano continuum
$ℝ^n$
Opis:
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We prove that for n ≥ 3 the space $L(ℝ^n)$ is homeomorphic to $B^∞$, where B denotes the pseudo-boundary of the Hilbert cube Q.
Źródło:
Fundamenta Mathematicae; 1993, 142, 2; 173-188
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Projectivity and lifting of Hilbert module maps
Autorzy:
Clark, Douglas
Powiązania:
https://bibliotekanauki.pl/articles/1294735.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hilbert module
lifting theorem
polynomially bounded
Opis:
In a recent paper, Carlson, Foiaş, Williams and the author proved that isometric Hilbert modules are projective in the category of Hilbert modules similar to contractive ones. In this paper, a simple proof, based on a strengthened lifting theorem, is given. The proof also applies to an equivalent theorem of Foiaş and Williams on similarity to a contraction of a certain 2 × 2 operator matrix.
Źródło:
Annales Polonici Mathematici; 1997, 66, 1; 43-48
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extensions of convex functionals on convex cones
Autorzy:
Ignaczak, E.
Paszkiewicz, A.
Powiązania:
https://bibliotekanauki.pl/articles/1339018.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hilbert space
convex functional
convex cone
Opis:
We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex cone M in a linear topological space X is a linear subspace if and only if each convex functional on M has a convex extension on the whole space X.
Źródło:
Applicationes Mathematicae; 1998-1999, 25, 3; 381-386
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An application of Hilbert-Huang transform and principal component analysis for diagnostics of cylindrical plunge grinding process
Autorzy:
Lajmert, P.
Powiązania:
https://bibliotekanauki.pl/articles/100119.pdf
Data publikacji:
2010
Wydawca:
Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Tematy:
diagnostics
plunge grinding
Hilbert-Huang transform
Opis:
This paper presents a sensor based diagnostic system for a cylindrical plunge grinding process which ensures a reliable process state and tool wear identification. A new signal processing technique, i.e. Hilbert-Huang transform (HHT) was evaluated for this purpose based on the vibration and acoustic emission signal measurements. Numerical and experimental studies have demonstrated that the process state and tool wear may be effectivel detected through a statistical analysis of the time-dependent amplitudes and instantaneous frequencies resulting from the HHT. A principal component analysis was used to diagnose different grinding process states.
Źródło:
Journal of Machine Engineering; 2010, 10, 1; 39-49
1895-7595
2391-8071
Pojawia się w:
Journal of Machine Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Amplitude demodulation of interferometric signals with a 2D Hilbert transform
Autorzy:
Wielgus, M.
Powiązania:
https://bibliotekanauki.pl/articles/115674.pdf
Data publikacji:
2011
Wydawca:
Fundacja na Rzecz Młodych Naukowców
Tematy:
Hilbert transform
image analysis
Fourier transform
demodulation
Opis:
The Hilbert transform and the analytic signal are widely known tools of 1D signal pro cessing. They are useful for many applications, such as AM-FM demodulation or edge detection. Developing the multidimensional generalization of this method is particularly important for the purposes of image processing. Unfortunately, it is not obvious how to generalize the transform, keeping its essential properties. In this paper I survey some ideas: basic approaches with spectral masks imitating 1D signum function, the spiral phase operator method and the method involving quaternionic Fourier transform. I present and compare how these algorithms are useful for the amplitude demodulation of typical interferometric images.
Źródło:
Challenges of Modern Technology; 2011, 2, 1; 8-11
2082-2863
2353-4419
Pojawia się w:
Challenges of Modern Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Diagnosis of multiple faults of an induction motor based on Hilbert envelope analysis
Autorzy:
Kabul, Ahmet
Ünsal, Abdurrahman
Powiązania:
https://bibliotekanauki.pl/articles/2052085.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Hilbert envelope analysis
induction motor
multiple faults
Opis:
Three phase induction motors are widely used in industrial processes and condition monitoring of these motors is especially important. Broken rotor bars, eccentricity and bearing faults are the most common types of faults of induction motors. Stator current and/or vibration signals are mostly preferred for the monitoring and detection of these faults. Fourier Transform (FT) based detection methods analyse the characteristic harmonic components of stator current and vibration signals for feature extraction. Several types of simultaneous faults of induction motors may produce characteristic harmonic components at the same frequency (with varying amplitudes). Therefore, detection of multiple faults is more difficult than detection of a single fault with FT based diagnosis methods. This paper proposes an alternative approach to detect simultaneous multiple faults including broken rotor bars, static eccentricity and outer/inner-race bearing faults by analysing stator current and vibration signals. The proposed method uses Hilbert envelope analysis with a Normalized Least Mean Square (NLSM) adaptive filter. The results are experimentally verified under 25%, 50%, 75%, 100% load conditions.
Źródło:
Metrology and Measurement Systems; 2022, 29, 1; 191-205
0860-8229
Pojawia się w:
Metrology and Measurement Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Kilka uwag o Tezie Churcha i Aksjomacie Hilberta
Some remarks concerning Church's Thesis and Hilbert's Axiom
Autorzy:
Olszewski, Adam
Powiązania:
https://bibliotekanauki.pl/articles/690900.pdf
Data publikacji:
2006
Wydawca:
Copernicus Center Press
Tematy:
Church's Thesis
Hilbert's Axiom
philosophy of mathematics
Opis:
Some facts concerning Church's Thesis are first reminded, then Hilbert's Axiom of Thought is formulated. Hilbert proposed this axiom in 1905. He believed that it belongs to a domain of knowledge that is prior with respect to mathematics. An attempt is made to apply this axiom to some considerations concerning Church's Thesis
Źródło:
Zagadnienia Filozoficzne w Nauce; 2006, 38; 114-126
0867-8286
2451-0602
Pojawia się w:
Zagadnienia Filozoficzne w Nauce
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Detection and identification of nonlinear contact dynamics at workpiece clamping positions
Autorzy:
Feng, Qi
Maier, Walther
Braun, Steffen
Möhring, Hans-Christian
Powiązania:
https://bibliotekanauki.pl/articles/2200257.pdf
Data publikacji:
2023
Wydawca:
Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Tematy:
nonlinearity
contact dynamics
clamping fixture
Hilbert transform
Opis:
All mechanical systems behave nonlinearly to a certain extent since there are always reasons for nonlinearities, such as friction and slip effects, in the actual structures. It is important to detect and identify the nonlinearity due to friction and contact in order to investigate their effect on the global behavior of the workpiece-fixture system. That is a prerequisite for modeling the dynamic contact behavior at the interface between the workpiece and clamping elements. In this research, the workpiece-fixture system was excited with a shaker using the swept sine signal. The nonlinearities could be detected by comparing and analyzing the frequency responses of the structures in Bode plots. However, the nonlinearities behaved differently at various frequencies within the observation range. Different mechanisms such as nonlinear stiffness and damping, micro-slip friction, are responsible for that. Then the nonlinear contact behavior at the clamping positions was successfully identified by means of the Hilbert transform. In addition, the clamping force directly influenced the nonlinear stiffness of the workpiece-fixture system.
Źródło:
Journal of Machine Engineering; 2023, 23, 1; 114--122
1895-7595
2391-8071
Pojawia się w:
Journal of Machine Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Hilbert Transform Based Algorithm for Detection of a Complex Envelope of a Power Grid Signals : an Implementation
Autorzy:
Wetula, A.
Powiązania:
https://bibliotekanauki.pl/articles/262588.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie
Tematy:
power quality
measurement
Hilbert transformation
implementation
DS
Opis:
The paper presents an algorithm for detection of a complex envelope of power grid signals. The algorithm is based on a Hilbert transform. It was prepared for an analysis of a lowfrequency disturbances, but can also be used as a compex envelope source for other applications. An implementation of the algorithm in a digital signal processor was made to proof an ability of a realtime operation. Analyses with various numerical representations and input signal quantization were done. Execution times on a DSP were measured. Tests proved that the presented algorithm is able to analyze power grid signals in a real-time with satisfying performance and uncertainty.
Źródło:
Electrical Power Quality and Utilisation. Journal; 2008, 14, 2; 13-18
1896-4672
Pojawia się w:
Electrical Power Quality and Utilisation. Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete Hardy spaces
Autorzy:
Boza, Santiago
Carro, María
Powiązania:
https://bibliotekanauki.pl/articles/1218496.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hardy spaces
discrete Hilbert transform
maximal operators
Opis:
We study various characterizations of the Hardy spaces $H^p(ℤ)$ via the discrete Hilbert transform and via maximal and square functions. Finally, we present the equivalence with the classical atomic characterization of $H^p(ℤ)$ given by Coifman and Weiss in [CW]. Our proofs are based on some results concerning functions of exponential type.
Źródło:
Studia Mathematica; 1998, 129, 1; 31-50
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
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