Edit Profile (opens in new tab) Arenas, Alberto Co-Author Distance Author ID: arenas.alberto Published as: Arenas, Alberto; Arenas, A. Documents Indexed: 29 Publications since 1987 Co-Authors: 3 Co-Authors with 11 Joint Publications 38 Co-Co-Authors all top 5 Co-Authors 12 single-authored 10 Ciaurri, Óscar 9 Labarga Varona, Edgar 3 Bayer Isant, Pilar 1 Aranés, M. T. 1 Bonilla, Luis Lopez 1 Ferre-Giné, J. 1 Giralt, Francesc 1 Kopp, Gregory A. 1 Nowak, Adam 1 Pérez Vicente, Conrado J. 1 Rallo, Robert all top 5 Serials 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Number Theory 2 Journal of Mathematical Analysis and Applications 2 Journal of Approximation Theory 2 Integral Transforms and Special Functions 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España) 1 Linear and Multilinear Algebra 1 Acta Arithmetica 1 Indian Journal of Mathematics 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Journal of Physics A: Mathematical and General 1 Potential Analysis 1 Physics of Fluids 1 The Journal of Fourier Analysis and Applications 1 Mathematics and Mechanics of Solids 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Mediterranean Journal of Mathematics all top 5 Fields 16 Number theory (11-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 20 times in 12 Documents Cited by ▼ Year ▼ On the short-time dynamics of networks of Hebbian coupled oscillators. Zbl 0937.92501 Pérez Vicente, C. J.; Arenas, A.; Bonilla, L. L. 8 1996 A weighted transplantation theorem for Jacobi coefficients. Zbl 1428.42052 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 6 2019 Discrete harmonic analysis associated with Jacobi expansions. I: The heat semigroup. Zbl 1453.42013 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 5 2020 A Hardy inequality for ultraspherical expansions with an application to the sphere. Zbl 1387.42030 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 3 2018 Exotic multiplicity functions and heat maximal operators in certain Dunkl settings. Zbl 1397.42017 Arenas, Alberto; Labarga, Edgar; Nowak, Adam 3 2018 On some equivalences of positive definite binary quadratic forms. Zbl 0691.10012 Arenas, A. 2 1989 The simulation and interpretation of free turbulence with a cognitive neural system. Zbl 1184.76181 Giralt, Francesc; Arenas, A.; Ferre-Giné, J.; Rallo, R.; Kopp, G. A. 2 2000 Arithmetic behaviour of the sums of three squares. Zbl 0623.10035 Arenas, A.; Bayer, P. 2 1987 Quantitative aspects of the representations of integers by quadratic forms. Zbl 0695.10018 Arenas, A. 2 1989 On the traces of Hecke operators. Zbl 1030.11020 Arenas, A. 2 2003 Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform. Zbl 1504.42083 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 2 2022 An arithmetic problem on the sums of three squares. Zbl 0663.10050 Arenas, A. 1 1988 Rational equivalence of primitive integral binary quadratic forms. Zbl 0738.11035 Arenas, A. 1 1991 Discrete harmonic analysis associated with Jacobi expansions. III: The Littlewood-Paley-Stein \(g_k\)-functions and the Laplace type multipliers. Zbl 07734906 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 1 2023 Discrete harmonic analysis associated with Jacobi expansions. III: The Littlewood-Paley-Stein \(g_k\)-functions and the Laplace type multipliers. Zbl 07734906 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 1 2023 Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform. Zbl 1504.42083 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 2 2022 Discrete harmonic analysis associated with Jacobi expansions. I: The heat semigroup. Zbl 1453.42013 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 5 2020 A weighted transplantation theorem for Jacobi coefficients. Zbl 1428.42052 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 6 2019 A Hardy inequality for ultraspherical expansions with an application to the sphere. Zbl 1387.42030 Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar 3 2018 Exotic multiplicity functions and heat maximal operators in certain Dunkl settings. Zbl 1397.42017 Arenas, Alberto; Labarga, Edgar; Nowak, Adam 3 2018 On the traces of Hecke operators. Zbl 1030.11020 Arenas, A. 2 2003 The simulation and interpretation of free turbulence with a cognitive neural system. Zbl 1184.76181 Giralt, Francesc; Arenas, A.; Ferre-Giné, J.; Rallo, R.; Kopp, G. A. 2 2000 On the short-time dynamics of networks of Hebbian coupled oscillators. Zbl 0937.92501 Pérez Vicente, C. J.; Arenas, A.; Bonilla, L. L. 8 1996 Rational equivalence of primitive integral binary quadratic forms. Zbl 0738.11035 Arenas, A. 1 1991 On some equivalences of positive definite binary quadratic forms. Zbl 0691.10012 Arenas, A. 2 1989 Quantitative aspects of the representations of integers by quadratic forms. Zbl 0695.10018 Arenas, A. 2 1989 An arithmetic problem on the sums of three squares. Zbl 0663.10050 Arenas, A. 1 1988 Arithmetic behaviour of the sums of three squares. Zbl 0623.10035 Arenas, A.; Bayer, P. 2 1987 all cited Publications top 5 cited Publications all top 5 Cited by 11 Authors 6 Ciaurri, Óscar 5 Arenas, Alberto 5 Labarga Varona, Edgar 2 Stempak, Krzysztof 1 Ben Salem, Nejib 1 Betancor Perez, Jorge Juan 1 De León-Contreras, Marta 1 Horváth, Ágota P. 1 Langowski, Bartosz 1 Nowak, Adam 1 Roncal, Luz all top 5 Cited in 10 Serials 2 Journal of Approximation Theory 2 Communications on Pure and Applied Analysis 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Proceedings of the American Mathematical Society 1 Potential Analysis 1 The Journal of Analysis 1 Mediterranean Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Analysis and Mathematical Physics all top 5 Cited in 10 Fields 8 Harmonic analysis on Euclidean spaces (42-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 3 Integral transforms, operational calculus (44-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year