Search

Your search keyword '"Cattani, Carlo"' showing total 892 results
Start Over Author "Cattani, Carlo"
892 results on '"Cattani, Carlo"'

8. Linear canonical wavelet transform and the associated uncertainty principles

Author

Gupta, Bivek, Verma, Amit K., and Cattani, Carlo

Subjects
Mathematics - Functional Analysis, 42B10, 42C40, 43A32
Abstract

We define a novel time-frequency analyzing tool, namely linear canonical wavelet transform (LCWT) and study some of its important properties like inner product relation, reconstruction formula and also characterize its range. We obtain Donoho-Stark's and Lieb's uncertainty principle for the LCWT and give a lower bound for the measure of its essential support. We also give Shapiro's mean dispersion theorem for the proposed LCWT.

Published
2022

9. Harmonic wavelet solution of Poisson's problem with a localized source

Author

Cattani, Carlo

Subjects
Science (General), Q1-390
Abstract

A method, based on a multiscale (wavelet) decomposition of the solution is proposed for the analysis of the Poisson problem. The solution is approximated by a finite series expansion of harmonic wavelets and is based on the computation of the connection coefficients. It is shown, how a sourceless Poisson's problem, solved with the Daubechies wavelets, can also be solved in presence of a localized source in the harmonic wavelet basis.

Published
2008
Full Text
View/download PDF

10. Elastic wavelets and their application to problems of solitary wave propagation

Author

Cattani, Carlo and Rushchitsky, Jeremiah

Subjects
Science (General), Q1-390
Abstract

The paper can be referred to that direction in the wavelet theory, which was called by Kaiser "the physical wavelets". He developed the analysis of first two kinds of physical wavelets - electromagnetic (optic) and acoustic wavelets. Newland developed the technique of application of harmonic wavelets especially for studying the harmonic vibrations. Recently Cattani and Rushchitsky proposed the 4th kind of physical wavelets - elastic wavelets. This proposal was based on three main elements: 1. Kaiser's idea of constructing the physical wavelets on the base of specially chosen (admissible) solutions of wave equations. 2. Developed by one of authors theory of solitary waves (with profiles in the form of Chebyshov-Hermite functions) propagated in elastic dispersive media. 3. The theory and practice of using the wavelet "Mexican Hat" system, the mother and farther wavelets (and their Fourier transforms) of which are analytically represented as the Chebyshov-Hermite functions of different indexes. An application of elastic wavelets to studying the evolution of solitary waves of different shape during their propagation through composite materials is shown on many examples.

Published
2008
Full Text
View/download PDF

13. Clifford wavelets for fetal ECG extraction

Author

Jallouli, Malika, Arfaoui, Sabrine, Mabrouk, Anouar Ben, and Cattani, Carlo

Subjects
Physics - Medical Physics, Computer Science - Computational Engineering, Finance, and Science, 42C40, 92C55
Abstract

Analysis of the fetal heart rate during pregnancy is essential for monitoring the proper development of the fetus. Current fetal heart monitoring techniques lack the accuracy in fetal heart rate monitoring and features acquisition, resulting in diagnostic medical issues. The challenge lies in the extraction of the fetal ECG from the mother's ECG during pregnancy. This approach has the advantage of being a reliable and non-invasive technique. For this aim, we propose in this paper a wavelet/multi-wavelet method allowing to extract perfectly the feta ECG parameters from the abdominal mother ECG. The method is essentially due to the exploitation of Clifford wavelets as recent variants in the field. We prove that these wavelets are more efficient and performing against classical ones. The experimental results are therefore due to two basic classes of wavelets and multi-wavelets. A first-class is the classical Haar Schauder, and a second one is due to Clifford valued wavelets and multi-wavelets. These results showed that wavelets/multiwavelets are already good bases for the FECG processing, provided that Clifford ones are the best., Comment: 21 pages, 8 figures, 1 table

Published
2021
Full Text
View/download PDF

22. A generalized novel approach based on orthonormal polynomial wavelets with an application to Lane-Emden equation

Author

Verma, Amit K., Tiwari, Diksha, and Cattani, Carlo

Subjects
Mathematics - Numerical Analysis, 65T60, 34B16
Abstract

Capturing solution near the singular point of any nonlinear SBVPs is challenging because coefficients involved in the differential equation blow up near singularities. In this article, we aim to construct a general method based on orthogonal polynomials as wavelets. We discuss multiresolution analysis for wavelets generated by orthogonal polynomials, e.g., Hermite, Legendre, Chebyshev, Laguerre, and Gegenbauer. Then we use these wavelets for solving nonlinear SBVPs. These wavelets can deal with singularities easily and efficiently. To deal with the nonlinearity, we use both Newton's quasilinearization and the Newton-Raphson method. To show the importance and accuracy of the proposed methods, we solve the Lane-Emden type of problems and compare the computed solutions with the known solutions. As the resolution is increased the computed solutions converge to exact solutions or known solutions. We observe that the proposed technique performs well on a class of Lane-Emden type BVPs. As the paper deals with singularity, non-linearity significantly and different wavelets are used to compare the results.

Published
2019

27. Mathematical Models for Assessment the Thermal Radiation of a Fireball During Bleve

Author

Elizaryev, Alexey, Nasyrova, Elina, Cattani, Carlo, Tarakanov, Denis, Tarakanov, Dmitrii, Khasanov, Ilmir, Cavas-Martínez, Francisco, Series Editor, Chaari, Fakher, Series Editor, di Mare, Francesca, Series Editor, Gherardini, Francesco, Series Editor, Haddar, Mohamed, Series Editor, Ivanov, Vitalii, Series Editor, Kwon, Young W., Series Editor, Trojanowska, Justyna, Series Editor, Bieliatynskyi, Andrii, editor, and Breskich, Vera, editor

Published
2022
Full Text
View/download PDF

31. Operational Calculus of the Quantum Statistical Fermi–Dirac and Bose–Einstein Functions Leading to the Novel Fractional Kinetic Equations.

Author

Tassaddiq, Asifa, Cattani, Carlo, Alharbi, Rabab, Kasmani, Ruhaila Md, and Qureshi, Sania

Subjects
*DISTRIBUTION (Probability theory), *FRACTIONAL calculus, *OPERATOR equations, *MATHEMATICAL models, *STARS
Abstract

The sun is a fundamental element of the natural environment, and kinetic equations are crucial mathematical models for determining how quickly the chemical composition of a star like the sun is changing. Taking motivation from these facts, we develop and solve a novel fractional kinetic equation containing Fermi–Dirac (FD) and Bose–Einstein (BE) functions. Several distributional properties of these functions and their proposed new generalizations are investigated in this article. In fact, it is proved that these functions belong to distribution space  D ′ while their Fourier transforms belong to  Z ′. Fourier and Laplace transforms of these functions are computed by using their distributional representation. Thanks to them, we can compute various new fractional calculus formulae and a new relation involving the Fox–Wright function. Some fractional kinetic equations containing the FD and BE functions are also formulated and solved. [ABSTRACT FROM AUTHOR]

Published
2024
Full Text
View/download PDF

34. Invariance Solutions and Blow-Up Property for Edge Degenerate Pseudo-Hyperbolic Equations in Edge Sobolev Spaces

Author

Cattani, Carlo, Kalleji, Morteza Koozehgar, Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Vu, Van, Advisory Editor, Vrahatis, Michael N., Associate Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, and Rassias, Themistocles M., editor

Published
2021
Full Text
View/download PDF

35. Mixed Concave–Convex Sub-Superlinear Schrödinger Equation: Survey and Development of Some New Cases

Author

Chteoui, Riadh, Mabrouk, Anouar Ben, Cattani, Carlo, Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Vu, Van, Advisory Editor, Vrahatis, Michael N., Associate Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, and Rassias, Themistocles M., editor

Published
2021
Full Text
View/download PDF

42. On Algorithms for Difference of Monotone Operators

Author

Ramazannejad, Maede, Alimohammady, Mohsen, Cattani, Carlo, Pardalos, Panos M., Series Editor, Thai, My T., Series Editor, Du, Ding-Zhu, Honorary Editor, Belavkin, Roman V., Advisory Editor, Birge, John R., Advisory Editor, Butenko, Sergiy, Advisory Editor, Giannessi, Franco, Advisory Editor, Kumar, Vipin, Advisory Editor, Nagurney, Anna, Advisory Editor, Pei, Jun, Advisory Editor, Prokopyev, Oleg, Advisory Editor, Rebennack, Steffen, Advisory Editor, Resende, Mauricio, Advisory Editor, Terlaky, Tamás, Advisory Editor, Van, Vu, Advisory Editor, Xue, Guoliang, Advisory Editor, Ye, Yinyu, Advisory Editor, Daras, Nicholas J., editor, and Rassias, Themistocles M., editor

Published
2020
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results