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Resultats globals: 12 registres trobats en 0.02 segons.
Articles, 8 registres trobats
Llibres i col·leccions, 1 registres trobats
Documents de recerca, 2 registres trobats
Materials acadèmics, 1 registres trobats
Articles 8 registres trobats  
1.
15 p, 462.5 KB Uniform convergence of sine transforms of general monotone functions / Debernardi Pinos, Alberto (Centre de Recerca Matemàtica)
We obtain necessary and sufficient conditions for the uniform convergence of sine integrals [fórmula] where g satisfies general monotonicity conditions. In contrast with the previous results on this topic, here we do not assume g ≥ 0.
2017 - 10.1002/mana.201600492
Mathematische Nachrichten, Vol. 290, issue 17-18 (December 2017) , p. 2815-2825  
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2.
24 p, 489.9 KB Uniform convergence of double sine transforms of general monotone functions / Debernardi Pinos, Alberto (Universitat Autònoma de Barcelona)
We consider different classes of functions of two variables that satisfy general monotonicity conditions, and obtain necessary and sufficient conditions for the uniform convergence in the regular sense and in the sense of Pringsheim of double sine transforms of functions of such classes.
2017 - 10.1007/s10476-017-0304-4
Analysis Mathematica, Vol. 43, Issue 2 (August 2017) , p. 193-217  
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3.
28 p, 537.8 KB Uniform convergence of {Hankel} transforms / Debernardi Pinos, Alberto (Universitat Autònoma de Barcelona)
We investigate necessary and/or sufficient conditions for the pointwise and uniform convergence of the weighted Hankel transforms [fórmula] where ν, μ ∈ R are such that 0 ≤ μ + ν ≤ α + 3/2. [...]
2018 - 10.1016/j.jmaa.2018.09.001
Journal of Mathematical Analysis and Applications, Vol. 468, Issue 2 (December 2018) , p. 1189-1206  
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4.
18 p, 402.3 KB Approximation via {Hausdorff} operators / Debernardi Pinos, Alberto (Bar-Ilan University. Department of Mathematics) ; Liflyand, Elijah (Bar-Ilan University. Department of Mathematics)
Truncating the Fourier transform averaged by means of a generalized Hausdorff operator, we approximate functions and the adjoint to that Hausdorff operator of the given function. We find estimates for the rate of approximation in various metrics in terms of the parameter of truncation and the components of the Hausdorff operator. [...]
2021 - 10.4153/S0008439520000612
Canadian Mathematical Bulletin, Vol. 64, issue 3 (September 2021) , p. 512-529  
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5.
13 p, 241.4 KB Riesz bases of exponentials for convex polytopes with symmetric faces / Debernardi Pinos, Alberto (Bar-Ilan University) ; Lev, Nir (Bar-Ilan University)
We prove that for any convex polytope in arbitrary dimensions which is centrally symmetric and whose faces of all dimensions are also centrally symmetric, there exists a Riesz basis of exponential functions in the space L2(Ω). [...]
2021 - 10.4171/JEMS/1158
Journal of the European Mathematical Society, Vol. 24, Issue 8 (May 2021) , p. 3017-3029  
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6.
28 p, 551.3 KB The Boas problem on Hankel transforms / Debernardi Pinos, Alberto (Centre de Recerca Matemàtica)
Norm equivalences between a function and its Hankel transform are studied both in the context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas-type results involving real-valued general monotone functions are obtained. [...]
2019 - 10.1007/s00041-019-09703-y
Journal of Fourier Analysis and Applications, Vol. 25, Issue 6 (December 2019) , p. 3310-3341  
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7.
10 p, 2.3 MB Maximal values for the simultaneous number of null components of a vector and its Fourier transform / Debernardi Pinos, Alberto (Centre de Recerca Matemàtica)
2016 - 10.2436/20.2002.02.6
Reports@SCM, Vol. 2 Núm. 1 (2016) , p. 1-10  
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8.
40 p, 533.6 KB Weighted norm inequalities for generalized Fourier-type transforms and applications / Debernardi Pinos, Alberto (Bar-Ilan University (Ramat-Gan, Israel). Department of Mathematics)
We obtain necessary and sufficient conditions on weights for the generalized Fourier-type transforms to be bounded between weighted Lp-Lq spaces. As an important example, we investigate transforms with kernel of power type, as for instance the sine, Hankel, or Hα transforms. [...]
2020 - 10.5565/PUBLMAT6412001
Publicacions matemàtiques, Vol. 64 Núm. 1 (2020) , p. 3-42  
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Llibres i col·leccions 1 registres trobats  
1.
17 p, 443.8 KB Hankel transforms of general monotone functions / Debernardi Pinos, Alberto (Centre de Recerca Matemàtica)
We show that the Hankel transform of a general monotone function converges uniformly if and only if the limit function is bounded. To this end, we rely on an Abel-Olivier test for real- valued functions. [...]
Cham, Switzerland : Birkhäuser, 2019 (Applied and Numerical Harmonic Analysis) - 10.1007/978-3-030-12277-5_5
Topics in Classical and Modern Analysis: in memory of Yingkang Hu, 2019, p. 87-104  
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Documents de recerca 2 registres trobats  
1.
7 p, 145.6 KB Gabor orthonormal bases, tiling and periodicity / Debernardi Pinos, Alberto (University of Aveiro. Department of Mathematics) ; Lev, Nir (Bar-Ilan University. Department of Mathematics)
We show that if a Gabor system is an orthonormal basis in for square-summable functions in the real line, and if the window function is compactly supported, then both the time and frequency shift sets must be periodic. [...]
2022 - 10.48550/arXiv.2109.02240  
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2.
138 p, 1.6 MB Convergence and integrability of fourier transforms / Debernardi Pinos, Alberto ; Tikhonov, Sergey, 1976-, dir. ; Universitat Autònoma de Barcelona. Departament de Matemàtiques ; Centre de Recerca Matemàtica
El propòsit d'aquesta tesi és el d'estudiar dos tipus de problema diferents per a certes transformades de Fourier. Primer investiguem la convergència uniforme d'integrals sinusoidals en una i dos dimensions. [...]
The purpose of this dissertation is to study two different kind of problems for certain types of Fourier transforms. First, we investigate the uniform convergence of one and two-dimensional sine transforms. [...]
[Barcelona] : Universitat Autònoma de Barcelona, 2018.  
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Materials acadèmics 1 registres trobats  
1.
6 p, 108.0 KB Càlcul [103796] / Carmona Domènech, Joan Josep ; Burgués i Badia, Josep Ma ; Debernardi Pinos, Alberto ; Solanes Farres, Gil ; Universitat Autònoma de Barcelona. Escola d'Enginyeria
Assolir el nivell suficient en càlcul d'una variable per tractar fenòmens i resoldre els problemes matemàtics plantejats en l'enginyeria que es poden descriure en aquests termes. 1 Sustentar les parts de les demés assignatures del grau que precisen domini de funcions reals d'una variable. [...]
Reach a sufficient level in the calculation of a variable to deal with phenomena and solve the mathematical 1 Reach a sufficient level in the calculation of a variable to deal with phenomena and solve the mathematical problems raised in engineering that can be described in these terms. [...]
1 Alcanzar el nivel suficiente en cálculo de una variable para tratar fenómenos y resolver los problemas matemáticos planteados en la ingeniería que se pueden describir en estos términos. Sustentar las partes de las demás asignaturas del grado que precisan dominio de funciones reales de una variable. [...]
2023-24
Grau en Enginyeria Informàtica (Menció en Enginyeria de Computadors) i Grau en Enginyeria Electrònica de Telecomunicació [1206]
Grau en Enginyeria Informàtica (Menció en Tecnologies de la Informació) i Grau en Enginyeria de Sistemes de Telecomunicació [1207]
Grau en Enginyeria Electrònica de Telecomunicació i Grau en Enginyeria de Sistemes de Telecomunicació [1365]
Grau en Enginyeria de Sistemes de Telecomunicació [956]
Grau en Enginyeria Electrònica de Telecomunicació [957]
3 documents
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