Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar Discrete harmonic analysis associated with Jacobi expansions. III: The Littlewood-Paley-Stein \(g_k\)-functions and the Laplace type multipliers. (English) Zbl 07734906 J. Approx. Theory 294, Article ID 105940, 16 p. (2023). MSC: 42C10 33C45 39A12 47D07 PDFBibTeX XMLCite \textit{A. Arenas} et al., J. Approx. Theory 294, Article ID 105940, 16 p. (2023; Zbl 07734906) Full Text: DOI arXiv
Ciaurri, Ó.; Mínguez Ceniceros, J.; Rodríguez, J. M. On convergence of Fourier series in discrete Jacobi-Sobolev spaces. (English) Zbl 1519.42007 Integral Transforms Spec. Funct. 34, No. 9, 703-720 (2023). Reviewer: Sorin Gheorghe Gal (Oradea) MSC: 42A20 33C47 46E35 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Integral Transforms Spec. Funct. 34, No. 9, 703--720 (2023; Zbl 1519.42007) Full Text: DOI
Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform. (English) Zbl 1504.42083 Potential Anal. 57, No. 4, 501-520 (2022). MSC: 42C10 42B20 PDFBibTeX XMLCite \textit{A. Arenas} et al., Potential Anal. 57, No. 4, 501--520 (2022; Zbl 1504.42083) Full Text: DOI arXiv
Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar Weighted transplantation for Laguerre coefficients. (English) Zbl 1484.42026 Mediterr. J. Math. 19, No. 2, Paper No. 52, 21 p. (2022). MSC: 42C10 44A20 PDFBibTeX XMLCite \textit{A. Arenas} et al., Mediterr. J. Math. 19, No. 2, Paper No. 52, 21 p. (2022; Zbl 1484.42026) Full Text: DOI
Ciaurri, Óscar; Mínguez Ceniceros, Judit Fourier series for coherent pairs of Jacobi measures. (English) Zbl 1473.42005 Integral Transforms Spec. Funct. 32, No. 5-8, 437-457 (2021). MSC: 42A20 42C05 33C45 33C47 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{J. Mínguez Ceniceros}, Integral Transforms Spec. Funct. 32, No. 5--8, 437--457 (2021; Zbl 1473.42005) Full Text: DOI
Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar The convergence of discrete Fourier-Jacobi series. (English) Zbl 1437.42002 Proc. Am. Math. Soc. 148, No. 6, 2539-2550 (2020). MSC: 42A20 42C10 PDFBibTeX XMLCite \textit{A. Arenas} et al., Proc. Am. Math. Soc. 148, No. 6, 2539--2550 (2020; Zbl 1437.42002) Full Text: DOI arXiv
Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar A weighted transplantation theorem for Jacobi coefficients. (English) Zbl 1428.42052 J. Approx. Theory 248, Article ID 105297, 16 p. (2019). Reviewer: Pablo Alejandro Rocha (Buenos Aires) MSC: 42C10 42B20 42B25 44A20 PDFBibTeX XMLCite \textit{A. Arenas} et al., J. Approx. Theory 248, Article ID 105297, 16 p. (2019; Zbl 1428.42052) Full Text: DOI arXiv
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
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; Mínguez Ceniceros, Judit Fourier series of Jacobi-Sobolev polynomials. (English) Zbl 1407.42002 Integral Transforms Spec. Funct. 30, No. 4, 334-346 (2019). MSC: 42A20 33C47 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{J. Mínguez Ceniceros}, Integral Transforms Spec. Funct. 30, No. 4, 334--346 (2019; Zbl 1407.42002) Full Text: DOI arXiv
Ciaurri, Óscar; Roncal, Luz; Thangavelu, Sundaram Hardy-type inequalities for fractional Powers of the Dunkl-Hermite operator. (English) Zbl 1435.26013 Proc. Edinb. Math. Soc., II. Ser. 61, No. 2, 513-544 (2018). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 26A33 33C45 35A08 42C10 43A90 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Proc. Edinb. Math. Soc., II. Ser. 61, No. 2, 513--544 (2018; Zbl 1435.26013) 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
Ciaurri, Óscar; Mínguez, Judit Fourier series of Gegenbauer-Sobolev polynomials. (English) Zbl 1393.42001 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 024, 11 p. (2018). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42A20 33C47 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{J. Mínguez}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 024, 11 p. (2018; Zbl 1393.42001) Full Text: DOI arXiv
Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar A Hardy inequality for ultraspherical expansions with an application to the sphere. (English) Zbl 1387.42030 J. Fourier Anal. Appl. 24, No. 2, 416-430 (2018). MSC: 42C10 PDFBibTeX XMLCite \textit{A. Arenas} et al., J. Fourier Anal. Appl. 24, No. 2, 416--430 (2018; Zbl 1387.42030) Full Text: DOI arXiv
Ciaurri, Óscar; Roncal, Luz Vector-valued extensions for fractional integrals of Laguerre expansions. (English) Zbl 1401.42029 Stud. Math. 240, No. 1, 69-99 (2018). Reviewer: Oscar Blasco (Valencia) MSC: 42C10 47G40 26A33 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{L. Roncal}, Stud. Math. 240, No. 1, 69--99 (2018; Zbl 1401.42029) Full Text: DOI arXiv
Ciaurri, Óscar; Roncal, Luz; Stinga, Pablo Raúl Riesz transforms on compact Riemannian symmetric spaces of rank one. (English) Zbl 1338.53078 Milan J. Math. 83, No. 2, 345-370 (2015). Reviewer: Patrice Sawyer (Sudbury) MSC: 53C35 43A85 58J05 42C10 33C45 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Milan J. Math. 83, No. 2, 345--370 (2015; Zbl 1338.53078) Full Text: DOI arXiv
Arenas, Alberto; Ciaurri, Óscar Fourier-Jacobi expansions in Morrey spaces. (English) Zbl 1323.42026 J. Math. Anal. Appl. 415, No. 1, 302-313 (2014). Reviewer: Hans Triebel (Jena) MSC: 42C10 46E30 PDFBibTeX XMLCite \textit{A. Arenas} and \textit{Ó. Ciaurri}, J. Math. Anal. Appl. 415, No. 1, 302--313 (2014; Zbl 1323.42026) Full Text: DOI arXiv
Ciaurri, Óscar; Roncal, Luz The Riesz transform for the harmonic oscillator in spherical coordinates. (English) Zbl 1305.42028 Constr. Approx. 40, No. 3, 447-472 (2014). MSC: 42C10 43A90 47G40 26A33 42B20 42B35 33C45 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{L. Roncal}, Constr. Approx. 40, No. 3, 447--472 (2014; Zbl 1305.42028) Full Text: DOI arXiv
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
Ciaurri, Óscar The Poisson operator for orthogonal polynomials in the multidimensional ball. (English) Zbl 1304.42066 J. Fourier Anal. Appl. 19, No. 5, 1020-1028 (2013). MSC: 42C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri}, J. Fourier Anal. Appl. 19, No. 5, 1020--1028 (2013; Zbl 1304.42066) Full Text: DOI
Ciaurri, Óscar; Roncal, Luz; Stinga, Pablo Raúl Fractional integrals on compact Riemannian symmetric spaces of rank one. (English) Zbl 1297.43011 Adv. Math. 235, 627-647 (2013). Reviewer: Haibo Lin (Beijing) MSC: 43A85 58J05 42C10 42B35 33C45 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Adv. Math. 235, 627--647 (2013; Zbl 1297.43011) Full Text: DOI arXiv
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
Ciaurri, Óscar; Roncal, Luz Higher order Riesz transforms for Fourier-Bessel expansions. (English) Zbl 1268.42048 J. Fourier Anal. Appl. 18, No. 4, 770-789 (2012). Reviewer: Martin Grigoryan (Yerevan) MSC: 42C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{L. Roncal}, J. Fourier Anal. Appl. 18, No. 4, 770--789 (2012; Zbl 1268.42048) Full Text: DOI
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
Ciaurri, Óscar; Roncal, Luz Weighted inequalities for the Bochner-Riesz means related to the Fourier-Bessel expansions. (English) Zbl 1154.42303 J. Math. Anal. Appl. 329, No. 2, 1170-1180 (2007). MSC: 42C10 42B35 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{L. Roncal}, J. Math. Anal. Appl. 329, No. 2, 1170--1180 (2007; Zbl 1154.42303) Full Text: DOI
Ciaurri, Óscar; Nowak, Adam; Stempak, Krzysztof Jacobi transplantation revisited. (English) Zbl 1162.42015 Math. Z. 257, No. 2, 355-380 (2007). Reviewer: Kun Soo Chang (Seoul) MSC: 42C20 44A20 42C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} et al., Math. Z. 257, No. 2, 355--380 (2007; Zbl 1162.42015) 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; Stempak, Krzysztof Conjugacy for Fourier-Bessel expansions. (English) Zbl 1125.42013 Stud. Math. 176, No. 3, 215-247 (2006). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 42C10 44A20 33C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{K. Stempak}, Stud. Math. 176, No. 3, 215--247 (2006; Zbl 1125.42013) Full Text: DOI
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 Transplantation and multiplier theorems for Fourier-Bessel expansions. (English) Zbl 1130.42029 Trans. Am. Math. Soc. 358, No. 10, 4441-4465 (2006). Reviewer: László Leindler (Szeged) MSC: 42C10 44A20 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{K. Stempak}, Trans. Am. Math. Soc. 358, No. 10, 4441--4465 (2006; Zbl 1130.42029) 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
Ciaurri, Óscar; Roncal, Luz The Bochner-Riesz means for Fourier-Bessel expansions. (English) Zbl 1103.42015 J. Funct. Anal. 228, No. 1, 89-113 (2005). Reviewer: Ferenc Móricz (Szeged) MSC: 42C10 PDFBibTeX XMLCite \textit{Ó. Ciaurri} and \textit{L. Roncal}, J. Funct. Anal. 228, No. 1, 89--113 (2005; Zbl 1103.42015) 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 A transference theorem for Hermite expansions. (English) Zbl 1072.42023 Rend. Circ. Mat. Palermo, II. Ser. 53, No. 2, 231-234 (2004). Reviewer: Yasuo Komori (Numazu) MSC: 42C10 41A63 33C50 42C30 PDFBibTeX XMLCite \textit{Ó. Ciaurri}, Rend. Circ. Mat. Palermo (2) 53, No. 2, 231--234 (2004; Zbl 1072.42023) 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 Discrete Fourier–Neumann series. (English) Zbl 1043.42018 J. Approximation Theory 126, No. 2, 126-140 (2004). MSC: 42C10 44A15 PDFBibTeX XMLCite \textit{Ó. Ciaurri}, J. Approx. Theory 126, No. 2, 126--140 (2004; Zbl 1043.42018) 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