Mínguez Ceniceros, Judit; Varona, Juan Luis Stirling-Dunkl numbers. (English) Zbl 1522.11011 J. Math. Anal. Appl. 518, No. 1, Article ID 126698, 17 p. (2023). MSC: 11B68 11B73 33C45 05A15 PDFBibTeX XMLCite \textit{J. Mínguez Ceniceros} and \textit{J. L. Varona}, J. Math. Anal. Appl. 518, No. 1, Article ID 126698, 17 p. (2023; Zbl 1522.11011) Full Text: DOI
Extremiana Aldana, José Ignacio; Labarga, Edgar; Mínguez Ceniceros, Judit; Varona, Juan Luis Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind. (English) Zbl 1501.11036 J. Math. Anal. Appl. 507, No. 2, Article ID 125832, 20 p. (2022). Reviewer: M. P. Chaudhary (New Delhi) MSC: 11B68 33C47 PDFBibTeX XMLCite \textit{J. I. Extremiana Aldana} et al., J. Math. Anal. Appl. 507, No. 2, Article ID 125832, 20 p. (2022; Zbl 1501.11036) Full Text: DOI
Mínguez Ceniceros, Judit; Varona, Juan L. Asymptotic behavior of Bernoulli-Dunkl and Euler-Dunkl polynomials and their zeros. (English) Zbl 1491.11029 Funct. Approximatio, Comment. Math. 65, No. 2, 211-226 (2021). Reviewer: Thomas Ernst (Uppsala) MSC: 11B68 33C10 42C10 PDFBibTeX XMLCite \textit{J. Mínguez Ceniceros} and \textit{J. L. Varona}, Funct. Approximatio, Comment. Math. 65, No. 2, 211--226 (2021; Zbl 1491.11029) Full Text: DOI
Durán, Antonio J.; Pérez, Mario; Varona, Juan L. On the properties of zeros of Bessel series in the real line. (English) Zbl 1486.33007 Integral Transforms Spec. Funct. 32, No. 11, 912-931 (2021). Reviewer: Francisco Marcellán (Leganes) MSC: 33C10 42C10 34C10 PDFBibTeX XMLCite \textit{A. J. Durán} et al., Integral Transforms Spec. Funct. 32, No. 11, 912--931 (2021; Zbl 1486.33007) Full Text: DOI
Ciaurri, Óscar; Ceniceros, Judit Mínguez; Varona, Juan L. Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations. (English) Zbl 1435.11042 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2853-2876 (2019). MSC: 11B68 42C10 33C10 11M41 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2853--2876 (2019; Zbl 1435.11042) Full Text: DOI
Durán, Antonio J.; Pérez, Mario; Varona, Juan L. Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials. (English) Zbl 1429.33009 J. Approx. Theory 245, 23-39 (2019). Reviewer: Uğur Duran (Hatay) MSC: 33C10 11B68 42C10 11M41 PDFBibTeX XMLCite \textit{A. J. Durán} et al., J. Approx. Theory 245, 23--39 (2019; Zbl 1429.33009) Full Text: DOI
Albiac, Fernando; Ansorena, José L.; Ciaurri, Óscar; Varona, Juan L. Unconditional and quasi-greedy bases in \(L_p\) with applications to Jacobi polynomials Fourier series. (English) Zbl 1423.46021 Rev. Mat. Iberoam. 35, No. 2, 561-574 (2019). MSC: 46B15 41A65 42C10 PDFBibTeX XMLCite \textit{F. Albiac} et al., Rev. Mat. Iberoam. 35, No. 2, 561--574 (2019; Zbl 1423.46021) Full Text: DOI arXiv
Ciaurri, Óscar; Durán, Antonio J.; Pérez, Mario; Varona, Juan L. Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions. (English) Zbl 1439.11063 J. Approx. Theory 235, 20-45 (2018). MSC: 11B68 42C10 33C10 11M41 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., J. Approx. Theory 235, 20--45 (2018; Zbl 1439.11063) Full Text: DOI arXiv Link
Durán, Antonio J.; Pérez, Mario; Varona, Juan L. Some conjectures on Wronskian and Casorati determinants of orthogonal polynomials. (English) Zbl 1315.42015 Exp. Math. 24, No. 1, 123-132 (2015). Reviewer: Vladimir Răsvan (Craiova) MSC: 42C05 15B05 26C10 33C45 33C50 33D45 PDFBibTeX XMLCite \textit{A. J. Durán} et al., Exp. Math. 24, No. 1, 123--132 (2015; Zbl 1315.42015) Full Text: DOI
Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis The spectrum of the right inverse of the Dunkl operator. (English) Zbl 1334.42059 Rev. Mat. Complut. 26, No. 2, 471-483 (2013). MSC: 42C10 47A10 47A75 33C10 33C45 PDFBibTeX XMLCite \textit{L. D. Abreu} et al., Rev. Mat. Complut. 26, No. 2, 471--483 (2013; Zbl 1334.42059) Full Text: DOI
Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis A \(q\)-linear analogue of the plane wave expansion. (English) Zbl 1270.94049 Adv. Appl. Math. 50, No. 3, 415-428 (2013). MSC: 94A20 33D45 PDFBibTeX XMLCite \textit{L. D. Abreu} et al., Adv. Appl. Math. 50, No. 3, 415--428 (2013; Zbl 1270.94049) Full Text: DOI arXiv
Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis Bilinear biorthogonal expansions and the Dunkl kernel on the real line. (English) Zbl 1250.94019 Expo. Math. 30, No. 1, 32-48 (2012). MSC: 94A11 94A20 42A38 42C10 33D45 PDFBibTeX XMLCite \textit{L. D. Abreu} et al., Expo. Math. 30, No. 1, 32--48 (2012; Zbl 1250.94019) Full Text: DOI
Ciaurri, Óscar; Roncal, Luz; Torrea, José L.; Varona, Juan L. How to define the Riesz transform for Fourier-Neumann expansions? (English) Zbl 1206.42032 Lambán, Laureano (ed.) et al., Contribuciones científicas en honor de Mirian Andrés Gómez. Logroño: Universidad de La Rioja, Servicio de Publicaciones (ISBN 978-84-96487-50-5/hbk). 203-215 (2010). MSC: 42C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., in: Contribuciones científicas en honor de Mirian Andrés Gómez. Logroño: Universidad de La Rioja, Servicio de Publicaciones. 203--215 (2010; Zbl 1206.42032)
Ciaurri, Óscar; Varona, Juan L. An uncertainty inequality for Fourier-Dunkl series. (English) Zbl 1179.42021 J. Comput. Appl. Math. 233, No. 6, 1499-1504 (2010). MSC: 42C10 26D10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{J. L. Varona}, J. Comput. Appl. Math. 233, No. 6, 1499--1504 (2010; Zbl 1179.42021) Full Text: DOI
Ciaurri, Óscar; Varona, Juan Luis The surprising almost everywhere convergence of Fourier-Neumann series. (English) Zbl 1204.42044 J. Comput. Appl. Math. 233, No. 3, 663-666 (2009). Reviewer: Jörg Wenzel (Kaiserslautern) MSC: 42C10 42C30 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{J. L. Varona}, J. Comput. Appl. Math. 233, No. 3, 663--666 (2009; Zbl 1204.42044) Full Text: DOI
Betancor, Jorge J.; Ciaurri, Oscar; Martinez, Teresa; Perez, Mario; Torrea, Jose L.; Varona, Juan L. Heat and Poisson semigroups for Fourier-Neumann expansions. (English) Zbl 1142.42012 Semigroup Forum 73, No. 1, 129-142 (2006). MSC: 42C10 35K05 35J05 PDFBibTeX XMLCite \textit{J. J. Betancor} et al., Semigroup Forum 73, No. 1, 129--142 (2006; Zbl 1142.42012) Full Text: DOI arXiv
Ciaurri, Óscar; Navas, Luis M.; Varona, Juan L. A transform involving Chebyshev polynomials and its inversion formula. (English) Zbl 1114.33009 J. Math. Anal. Appl. 323, No. 1, 57-62 (2006). MSC: 33C45 11A25 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., J. Math. Anal. Appl. 323, No. 1, 57--62 (2006; Zbl 1114.33009) Full Text: DOI
Ciaurri, Óscar; Stempak, Krzysztof; Varona, Juan L. Mean Cesáro-type summability of Fourier-Neumann series. (English) Zbl 1121.42019 Stud. Sci. Math. Hung. 42, No. 4, 413-430 (2005). MSC: 42C10 44A20 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Stud. Sci. Math. Hung. 42, No. 4, 413--430 (2005; Zbl 1121.42019) Full Text: DOI
Alfaro, María Pilar; Hernández, Manuel Bello; Montaner, Jesús María; Varona, Juan L. Some asymptotic properties for orthogonal polynomials with respect to varying measures. (English) Zbl 1080.42022 J. Approximation Theory 135, No. 1, 22-34 (2005). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{M. P. Alfaro} et al., J. Approx. Theory 135, No. 1, 22--34 (2005; Zbl 1080.42022) Full Text: DOI
Ciaurri, Óscar; Varona, Juan L. Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions. (English) Zbl 1084.42021 J. Comput. Appl. Math. 178, No. 1-2, 99-110 (2005). Reviewer: Ferenc Móricz (Szeged) MSC: 42C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{J. L. Varona}, J. Comput. Appl. Math. 178, No. 1--2, 99--110 (2005; Zbl 1084.42021) Full Text: DOI
Ciaurri, Óscar; Stempak, Krzysztof; Varona, Juan L. Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one. (English) Zbl 1096.42010 Tohoku Math. J., II. Ser. 56, No. 3, 371-392 (2004). MSC: 42C10 44A15 44A20 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Tôhoku Math. J. (2) 56, No. 3, 371--392 (2004; Zbl 1096.42010) Full Text: DOI
Ciaurri, Óscar; Pérez, Mario; Varona, Juan L. Weak behaviour of Fourier-Neumann series. (English) Zbl 1046.42018 Glasg. Math. J. 45, No. 1, 97-104 (2003); corrigendum ibid. 45, No. 3, 567 (2003). MSC: 42C10 44A15 42A16 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Glasg. Math. J. 45, No. 1, 97--104 (2003; Zbl 1046.42018) Full Text: DOI
Ciaurri, Óscar; Varona, Juan L. Double integral equations with Bessel functions of different order. (Spanish. English summary) Zbl 1253.45003 Español, Luis (ed.) et al., Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones (ISBN 84-95301-56-3/hbk). 111-122 (2001). MSC: 45F10 42C10 33C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{J. L. Varona}, in: Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones. 111--122 (2001; Zbl 1253.45003) Full Text: EMIS
Ciaurri, Óscar; Guadalupe, José J.; Pérez, Mario; Varona, Juan L. Solving dual integral equations on Lebesgue spaces. (English) Zbl 0972.45003 Stud. Math. 142, No. 3, 253-267 (2000). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 45F10 42C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Stud. Math. 142, No. 3, 253--267 (2000; Zbl 0972.45003) Full Text: DOI EuDML Link
Ciaurri, Óscar; Guadalupe, José J.; Pérez, Mario; Varona, Juan L. Mean and almost everywhere convergence of Fourier-Neumann series. (English) Zbl 0953.42015 J. Math. Anal. Appl. 236, No. 1, 125-147 (1999). Reviewer: Laszlo Leindler (Szeged) MSC: 42C10 44A15 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., J. Math. Anal. Appl. 236, No. 1, 125--147 (1999; Zbl 0953.42015) Full Text: DOI
Guadalupe, José J.; Pérez, Mario; Varona, Juan L. Commutators and analytic dependence of Fourier-Bessel series on \((0,\infty)\). (English) Zbl 0944.42018 Can. Math. Bull. 42, No. 2, 198-208 (1999). Reviewer: D.S.Lubinsky (Wits) MSC: 42C10 33C10 PDFBibTeX XMLCite \textit{J. J. Guadalupe} et al., Can. Math. Bull. 42, No. 2, 198--208 (1999; Zbl 0944.42018) Full Text: DOI
Guadalupe, J. J.; Pérez, M.; Ruiz, F. J.; Varona, J. L. Weighted norm inequalities for polynomial expansions associated to some measures with mass points. (English) Zbl 0893.42014 Constructive Approximation 12, No. 3, 341-360 (1996). MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{J. J. Guadalupe} et al., Constr. Approx. 12, No. 3, 341--360 (1996; Zbl 0893.42014) Full Text: DOI arXiv
Varona, Juan L. Fourier series of functions whose Hankel transform is supported on \([0,1]\). (English) Zbl 0803.42015 Constructive Approximation 10, No. 1, 65-75 (1994). Reviewer: F.Móricz (Szeged) MSC: 42C10 44A15 PDFBibTeX XMLCite \textit{J. L. Varona}, Constr. Approx. 10, No. 1, 65--75 (1994; Zbl 0803.42015) Full Text: DOI
Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. Asymptotic behaviour of orthogonal polynomials relative to measures with mass points. (English) Zbl 0791.42016 Mathematika 40, No. 2, 331-344 (1993). Reviewer: J.J.Guadalupe (Zaragoza) MSC: 42C10 PDFBibTeX XMLCite \textit{J. J. Guadalupe} et al., Mathematika 40, No. 2, 331--344 (1993; Zbl 0791.42016) Full Text: DOI
Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. Endpoint weak boundedness of some polynomial expansions. (English) Zbl 0790.42016 J. Comput. Appl. Math. 49, No. 1-3, 93-102 (1993). MSC: 42C15 PDFBibTeX XMLCite \textit{J. J. Guadalupe} et al., J. Comput. Appl. Math. 49, No. 1--3, 93--102 (1993; Zbl 0790.42016) Full Text: DOI
Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. Mean and weak convergence of Fourier-Bessel series. (English) Zbl 0781.42024 J. Math. Anal. Appl. 173, No. 2, 370-389 (1993). Reviewer: Y.Sitaraman (Owensboro) MSC: 42C10 42A16 PDFBibTeX XMLCite \textit{J. J. Guadalupe} et al., J. Math. Anal. Appl. 173, No. 2, 370--389 (1993; Zbl 0781.42024) Full Text: DOI Link
Guadalupe, J. J.; Perez, M.; Ruiz, F. J.; Varona, J. L. Two notes on convergence and divergence a.e. of Fourier series with respect to some orthogonal systems. (English) Zbl 0756.42017 Proc. Am. Math. Soc. 116, No. 2, 457-464 (1992). MSC: 42C10 42B25 PDFBibTeX XMLCite \textit{J. J. Guadalupe} et al., Proc. Am. Math. Soc. 116, No. 2, 457--464 (1992; Zbl 0756.42017) Full Text: DOI
Guadalupe, José J.; Pérez, Mario; Varona, Juan L. Weighted weak behavior of Fourier-Jacobi series. (English) Zbl 0801.42019 Math. Nachr. 158, 161-174 (1992). Reviewer: V.Totik (Szeged) MSC: 42C10 PDFBibTeX XMLCite \textit{J. J. Guadalupe} et al., Math. Nachr. 158, 161--174 (1992; Zbl 0801.42019) Full Text: DOI
Varona Malumbres, Juan L. Boundedness in norm of Fourier-Neumann series. (Spanish. English summary) Zbl 0757.42011 Analysis, Proc. 15th Port.-Span. Meet. Math., Évora/Port. 1990, Vol. II, 119-124 (1991). Reviewer: J.Ruidival dos Santos Filho (Recife) MSC: 42C10 PDFBibTeX XMLCite \textit{J. L. Varona Malumbres}, in: Análise. Actas de XV jornadas luso-espanholas de matemática, 3-7 de setembro, 1990, Vol. II. Évora (Portugal): Universidade de Évora. 119--124 (1991; Zbl 0757.42011)
Gutiérrez, José Manuel; Varona, Juan Luis Convergence in norm of the Fourier-Jacobi series with logarithmic weights. (Spanish. English summary) Zbl 0745.42014 Analysis, Proc. 15th Port.-Span. Meet. Math., Évora/Port. 1990, Vol. II, 113-118 (1991). MSC: 42C10 44A15 PDFBibTeX XMLCite \textit{J. M. Gutiérrez} and \textit{J. L. Varona}, in: Análise. Actas de XV jornadas luso-espanholas de matemática, 3-7 de setembro, 1990, Vol. II. Évora (Portugal): Universidade de Évora. 113--118 (1991; Zbl 0745.42014)
Guadalupe, José J.; Pérez, Mario; Ruiz, Francisco J.; Varona, Juan L. Weighted \(L^ p\)-boundedness of Fourier series with respect to generalized Jacobi weights. (English) Zbl 0737.42022 Publ. Mat., Barc. 35, No. 2, 449-459 (1991). MSC: 42C10 PDFBibTeX XMLCite \textit{J. J. Guadalupe} et al., Publ. Mat., Barc. 35, No. 2, 449--459 (1991; Zbl 0737.42022) Full Text: DOI EuDML
Guadalupe, José; Pérez, Mario; Varona, Juan L. Weak behaviour of Fourier-Jacobi series. (English) Zbl 0708.42013 J. Approximation Theory 61, No. 2, 222-238 (1990). Reviewer: Y.Sitaraman MSC: 42C10 42A20 PDFBibTeX XMLCite \textit{J. Guadalupe} et al., J. Approx. Theory 61, No. 2, 222--238 (1990; Zbl 0708.42013) Full Text: DOI
Guadalupe, José J.; Pérez, Mario; Varona, Juan L. Mean and weak convergence of some orthogonal Fourier expansions by using \(A_ p\) theory. (English) Zbl 0684.42016 Orthogonal polynomials and their applications, Proc. Int. Congr., Laredo/Spain 1987, Lect. Notes Pure Appl. Math. 117, 161-169 (1989). Reviewer: D.S.Lubinsky MSC: 42C10 42B25 PDFBibTeX XML
Guadalupe Hernández, J. J.; Pérez Riera, M.; Ruiz Blasco, F. J.; Varona Malumbres, J. L. Convergence in the mean of the Fourier series with respect to polynomials associated to the measure \((1-x)^{\alpha{}} (1+x)^{\beta{}} dx + M\delta{}_{-1} + N{\delta{}}_ 1\). (Spanish) Zbl 0764.42016 Orthogonal polynomials and their applications, Proc. 5th Symp, Vigo/Spain 1988, 91-99 (1989). Reviewer: L.Gatteschi (Torino) MSC: 42C05 33C45 33C20 PDFBibTeX XMLCite \textit{J. J. Guadalupe Hernández} et al., in: Polinomios ortogonales y sus aplicaciones. Actas del V simposium, Vigo, España, del 8 al 10 de septiembre de 1988. Vigo: Escuela Técnica Superior de Ingenieros Industriales de Vigo. 91--99 (1989; Zbl 0764.42016)