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Perturbations of Banach Frames and Atomic Decompositions [PDF]

Mathematische Nachrichten, 1997
AbstractBanach frames and atomic decompositions are sequences that have basis‐like properties but which need not be bases. In particular, they allow elements of a Banach space to be written as linear combinations of the frame or atomic decomposition elements in a stable manner.
Christopher Heil
exaly   +3 more sources

Thermoelectric Transport Properties of Cu₄Bi₄Se₉ Prepared by Mechanical Alloying and Hot Pressing [PDF]

Micromachines
Single-phase Cu4Bi4Se9 was successfully synthesized through a simple and rapid process combining mechanical alloying (MA) and hot pressing (HP). The phase formation behavior, microstructural evolution, charge transport characteristics, and thermoelectric
Gyuseong Chu, Il-Ho Kim
doaj   +2 more sources

Smooth Decompositions of Triebel-Lizorkin and Besov Spaces on Product Spaces of Homogeneous Type [PDF]

Journal of Function Spaces, 2014
We introduce Triebel-Lizorkin and Besov spaces by Calderón’s reproducing formula on product spaces of homogeneous type. We also obtain smooth atomic and molecular decompositions for these spaces.
Fanghui Liao, Zongguang Liu, Xiaojin Zhang   +2 more
doaj   +2 more sources

Atomic decompositions of Lorentz martingale spaces and applications [PDF]

Journal of Function Spaces and Applications, 2009
In the paper we present three atomic decomposition theorems of Lorentz martingale spaces. With the help of atomic decomposition we obtain a sufficient condition for sublinear operator defined on Lorentz martingale spaces to be bounded.
Jiao Yong, Peng Lihua, Liu Peide
doaj   +2 more sources

Approximative K-atomic decompositions and frames in Banach spaces [PDF]

Arab Journal of Mathematical Sciences, 2020
L. Gǎvruţa (2012) introduced a special kind of frames, named K-frames, where K is an operator, in Hilbert spaces, which is significant in frame theory and has many applications.
Shah Jahan
doaj   +1 more source

Properties of Module Notions and Atomic Decomposition [PDF]

Proceedings of the Eighteenth International Conference on Principles of Knowledge Representation and Reasoning, 2021
Various properties of ontology modules have been studied, such as coverage, self-containment, depletingness, monotonicity, preservation of justifications. These properties are important from a theoretical and practical point of view because they ensure, e.g., that modules have meaningful interfaces, can be used for ontology debugging, or are suitable ...
Robin Nolte, Thomas Schneider 0002
openaire   +1 more source

Atomic Decompositions and John-Nirenberg Theorem of Grand Martingale Hardy Spaces with Variable Exponents

Journal of Function Spaces, 2022
Let θ≥0 and p· be a variable exponent, and we introduce a new class of function spaces Lp·,θ in a probabilistic setting which unifies and generalizes the variable Lebesgue spaces with θ=0 and grand Lebesgue spaces with p·≡p and θ=1.
Libo Li, Zhiwei Hao
doaj   +1 more source

Atom decomposition-based intonation modelling [PDF]

2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2015
Current statistical parametric text-to-speech (TTS) synthesis methods allow production of neutral speech with acceptable quality. However, prosody is often qualified as unsatisfactory and sounding too flat. In this paper, we address intonation modelling for TTS based on physiological aspects of prosody production.
Pierre-Edouard Honnet, Branislav Gerazov, Philip N. Garner   +2 more
openaire   +2 more sources

Modeling of Electric Disturbance Signals Using Damped Sinusoids via Atomic Decompositions and Its Applications

EURASIP Journal on Advances in Signal Processing, 2007
The number of waveforms monitored in power systems is increasing rapidly. This creates a demand for computational tools that aid in the analysis of the phenomena and also that allow efficient transmission and storage of the information acquired.
Marco A. M. Rodrigues, Paulo S. R. Diniz, Eduardo A. B. da Silva, Michel P. Tcheou, Lisandro Lovisolo   +4 more
doaj   +2 more sources

Modular Structures and Atomic Decomposition in Ontologies

Journal of Artificial Intelligence Research, 2020
With the growth of ontologies used in diverse application areas, the need for module extraction and modularisation techniques has risen. The notion of the modular structure of an ontology, which comprises a suitable set of base modules together with their logical dependencies, has the potential to help users and developers in comprehending, sharing ...
Del Vescovo, Chiara, Horridge, Matthew, Parsia, Bijan, Sattler, Uli, Schneider, Thomas, Zhao, Haoruo   +5 more
openaire   +4 more sources