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pro vyhledávání: '"Stevan Pilipović"'
Characterization of Wave Fronts of Ultradistributions Using Directional Short-Time Fourier Transform
Publikováno v:
Axioms, Vol 10, Iss 4, p 240 (2021)
In this paper we give a characterization of Sobolev k-directional wave front of order p∈[1,∞) of tempered ultradistributions via the directional short-time Fourier transform.
Externí odkaz:
https://doaj.org/article/272c00e94ff040009188bfa18d818558
Publikováno v:
Mathematics, Vol 9, Iss 1, p 7 (2020)
Following the well-known theory of Beurling and Roumieu ultradistributions, we investigate new spaces of ultradistributions as dual spaces of test functions which correspond to associated functions of logarithmic-type growth at infinity. In the given
Externí odkaz:
https://doaj.org/article/596a1e4a6c34432bba0379e92bbadbdd
Autor:
Stevan Pilipović, Suzana Simić
Publikováno v:
Journal of Function Spaces and Applications, Vol 2013 (2013)
We construct a sequence {ϕi(·-j)∣j∈ℤ, i=1,…,r} which constitutes a p-frame for the weighted shift-invariant space Vμp(Φ)={∑i=1r∑j∈ℤci(j)ϕi(·-j)∣{ci(j)}j∈ℤ∈ℓμp, i=1,…,r}, p∈[1,∞], and generates a closed shift-in
Externí odkaz:
https://doaj.org/article/11824da581ab476fb9c956df8abcad56
Publikováno v:
Journal of Function Spaces and Applications, Vol 2012 (2012)
We provide a new and elementary proof of the continuity theorem for the wavelet and left-inverse wavelet transforms on the spaces 𝒮0(ℝn) and 𝒮(ℍn+1). We then introduce and study a new class of weighted Hölder-Zygmund spaces, where the weig
Externí odkaz:
https://doaj.org/article/b1ff6775ceb2476da33f3d89cc2924d5
The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic beha
This book provides the construction and characterization of important ultradistribution spaces and studies properties and calculations of ultradistributions such as boundedness and convolution. Integral transforms of ultradistributions are constructe
Publikováno v:
Applied Mathematical Modelling. 110:99-111
Autor:
Stevan Pilipović
Publikováno v:
Publicationes Mathematicae Debrecen. 34:145-150
Publikováno v:
Mathematics and Mechanics of Solids. 28:413-445
We analyze the dissipation inequality for the constitutive equation of a complex order fractional Zener model and obtain appropriate thermodynamical restrictions for the wave-type model equation in terms of its Laplace transform. These constraints ob
Publikováno v:
Electron. J. Probab.
We study nonlinear parabolic stochastic partial differential equations with Wick-power and Wick-polynomial type nonlinearities set in the framework of white noise analysis. These equations include the stochastic Fujita equation, the stochastic Fisher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c054a27406e08160ba0d4afc911cb0d7
http://arxiv.org/abs/2303.06229
http://arxiv.org/abs/2303.06229