Markett, Clemens Kramer-type sampling theorems associated with higher-order differential equations. (English) Zbl 1521.94017 Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 11, 35 p. (2023). MSC: 94A20 62D05 33C45 34B30 41A05 PDFBibTeX XMLCite \textit{C. Markett}, Sampl. Theory Signal Process. Data Anal. 21, No. 1, Paper No. 11, 35 p. (2023; Zbl 1521.94017) Full Text: DOI
Markett, Clemens The differential equation for Jacobi-Sobolev orthogonal polynomials with two linear perturbutions. (English) Zbl 1516.33008 J. Approx. Theory 280, Article ID 105782, 24 p. (2022). MSC: 33C47 34B30 34L10 PDFBibTeX XMLCite \textit{C. Markett}, J. Approx. Theory 280, Article ID 105782, 24 p. (2022; Zbl 1516.33008) Full Text: DOI
Markett, Clemens New representations of the Laguerre-Sobolev and Jacobi-Sobolev orthogonal polynomials. (English) Zbl 1482.33007 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 305-327 (2021). MSC: 33C47 33C45 34L10 PDFBibTeX XMLCite \textit{C. Markett}, Oper. Theory: Adv. Appl. 285, 305--327 (2021; Zbl 1482.33007) Full Text: DOI
Markett, Clemens Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type. (English) Zbl 1489.33009 Integral Transforms Spec. Funct. 32, No. 5-8, 568-587 (2021). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C47 34L10 34B30 PDFBibTeX XMLCite \textit{C. Markett}, Integral Transforms Spec. Funct. 32, No. 5--8, 568--587 (2021; Zbl 1489.33009) Full Text: DOI
Markett, Clemens On the differential equation for the Laguerre-Sobolev polynomials. (English) Zbl 1429.33019 J. Approx. Theory 247, 48-67 (2019). Reviewer: Manuel D. de la Iglesia (México D. F.) MSC: 33C47 34B30 34L10 PDFBibTeX XMLCite \textit{C. Markett}, J. Approx. Theory 247, 48--67 (2019; Zbl 1429.33019) Full Text: DOI arXiv
Markett, Clemens On the higher-order differential equations for the generalized Laguerre polynomials and Bessel functions. (English) Zbl 1408.33026 Integral Transforms Spec. Funct. 30, No. 5, 347-361 (2019). MSC: 33C47 33C45 34B30 PDFBibTeX XMLCite \textit{C. Markett}, Integral Transforms Spec. Funct. 30, No. 5, 347--361 (2019; Zbl 1408.33026) Full Text: DOI arXiv
Markett, Clemens The higher-order differential operator for the generalized Jacobi polynomials – new representation and symmetry. (English) Zbl 1414.33012 Indag. Math., New Ser. 30, No. 1, 81-93 (2019). Reviewer: Manuel D. de la Iglesia (México D. F.) MSC: 33C45 34A05 PDFBibTeX XMLCite \textit{C. Markett}, Indag. Math., New Ser. 30, No. 1, 81--93 (2019; Zbl 1414.33012) Full Text: DOI arXiv
Markett, Clemens An elementary representation of the higher-order Jacobi-type differential equation. (English) Zbl 1441.34023 Indag. Math., New Ser. 28, No. 5, 976-991 (2017). MSC: 34A30 33C45 PDFBibTeX XMLCite \textit{C. Markett}, Indag. Math., New Ser. 28, No. 5, 976--991 (2017; Zbl 1441.34023) Full Text: DOI arXiv
Markett, Clemens New representation and factorizations of the higher-order ultraspherical-type differential equations. (English) Zbl 1303.33023 J. Math. Anal. Appl. 421, No. 1, 244-259 (2015). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33E30 42C05 34L40 PDFBibTeX XMLCite \textit{C. Markett}, J. Math. Anal. Appl. 421, No. 1, 244--259 (2015; Zbl 1303.33023) Full Text: DOI
Everitt, W. Norrie; Markett, Clemens Solution bases for the fourth-order Bessel-type and Laguerre-type differential equations. (English) Zbl 1223.33014 Appl. Anal. 90, No. 3-4, 515-531 (2011). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 34A05 34B30 42C05 33C20 PDFBibTeX XMLCite \textit{W. N. Everitt} and \textit{C. Markett}, Appl. Anal. 90, No. 3--4, 515--531 (2011; Zbl 1223.33014) Full Text: DOI
Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C. Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform. (English) Zbl 1200.33009 Integral Transforms Spec. Funct. 17, No. 12, 845-862 (2006). MSC: 33C10 34B05 34L05 33C45 34B30 34A25 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Integral Transforms Spec. Funct. 17, No. 12, 845--862 (2006; Zbl 1200.33009) Full Text: DOI
Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C. Additional spectral properties of the fourth-order Bessel-type differential equation. (English) Zbl 1099.33003 Math. Nachr. 278, No. 12-13, 1538-1549 (2005). Reviewer: Petru A. Cojuhari (Kraków) MSC: 33C10 34B05 34L05 33C45 34B30 34A25 34L40 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Math. Nachr. 278, No. 12--13, 1538--1549 (2005; Zbl 1099.33003) Full Text: DOI
Das, Jyoti; Everitt, W. N.; Hinton, D. B.; Littlejohn, L. L.; Markett, C. The fourth-order Bessel-type differential equation. (English) Zbl 1053.34013 Appl. Anal. 83, No. 4, 325-362 (2004). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 34B05 34B30 47B25 47E05 33C10 33C45 34L05 PDFBibTeX XMLCite \textit{J. Das} et al., Appl. Anal. 83, No. 4, 325--362 (2004; Zbl 1053.34013) Full Text: DOI
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre On recurrence relations for Sobolev orthogonal polynomials. (English) Zbl 0824.33006 SIAM J. Math. Anal. 26, No. 2, 446-467 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 28A25 PDFBibTeX XMLCite \textit{W. D. Evans} et al., SIAM J. Math. Anal. 26, No. 2, 446--467 (1995; Zbl 0824.33006) Full Text: DOI
Markett, Clemens Linearization of the product of symmetric orthogonal polynomials. (English) Zbl 0806.33003 Constructive Approximation 10, No. 3, 317-338 (1994). Reviewer: M.Voit (Tübingen) MSC: 33C45 33D70 42C05 39A12 42C10 43A62 PDFBibTeX XMLCite \textit{C. Markett}, Constr. Approx. 10, No. 3, 317--338 (1994; Zbl 0806.33003) Full Text: DOI
Görlich, E.; Markett, C.; Stüpp, O. Integral formulas associated with products of Bessel functions: A new partial differential equation approach. (English) Zbl 0806.33011 J. Comput. Appl. Math. 51, No. 2, 135-157 (1994). Reviewer: P.A.McCoy (Annapolis) MSC: 33C60 35L10 33C45 PDFBibTeX XMLCite \textit{E. Görlich} et al., J. Comput. Appl. Math. 51, No. 2, 135--157 (1994; Zbl 0806.33011) Full Text: DOI
Everitt, V. N.; Markett, C. On a generalization of Bessel functions satisfying higher-order differential equations. (English) Zbl 1067.33500 Alavi, Yousev (ed.) et al., Trends and developments in ordinary differential equations. Proceedings of the international symposium, Kalamazoo, MI, USA, May 20-22, 1993. Singapore: World Scientific (ISBN 981-02-1530-4/hbk). 65-75 (1994). MSC: 33C20 33C45 34B30 65L99 PDFBibTeX XMLCite \textit{V. N. Everitt} and \textit{C. Markett}, in: Trends and developments in ordinary differential equations. Proceedings of the international symposium, Kalamazoo, MI, USA, May 20-22, 1993. Singapore: World Scientific. 65--75 (1994; Zbl 1067.33500)
Markett, Clemens The product formula and convolution structure associated with the generalized Hermite polynomials. (English) Zbl 0777.33001 J. Approximation Theory 73, No. 2, 199-217 (1993). Reviewer: R.Askey (Madison) MSC: 33C45 PDFBibTeX XMLCite \textit{C. Markett}, J. Approx. Theory 73, No. 2, 199--217 (1993; Zbl 0777.33001) Full Text: DOI
Connett, William C.; Markett, Clemens; Schwartz, Alan L. Convolution and hypergroup structures associated with a class of Sturm- Liouville systems. (English) Zbl 0765.43006 Trans. Am. Math. Soc. 332, No. 1, 365-390 (1992). Reviewer: C.F.Dunkl (Charlottesville) MSC: 43A62 34L10 42C10 42A85 33C45 PDFBibTeX XMLCite \textit{W. C. Connett} et al., Trans. Am. Math. Soc. 332, No. 1, 365--390 (1992; Zbl 0765.43006) Full Text: DOI
Connett, W. C.; Markett, C.; Schwartz, A. L. Jacobi polynomials and related hypergroup structures. (English) Zbl 0922.43006 Heyer, Herbert (ed.), Probability measures on groups X. Proceedings of the tenth Oberwolfach conference, held November 4-10, 1990 in Oberwolfach, Germany. New York, NY: Plenum Publishing Corporation. 45-81 (1991). MSC: 43A62 33C45 PDFBibTeX XMLCite \textit{W. C. Connett} et al., in: Probability measures on groups X. Proceedings of the tenth Oberwolfach conference, held November 4-10, 1990 in Oberwolfach, Germany. New York, NY: Plenum Publishing Corporation. 45--81 (1991; Zbl 0922.43006)
Markett, C.; Rosenblum, M.; Rovnyak, J. A Plancherel theory for Newton spaces. (English) Zbl 0613.30035 Integral Equations Oper. Theory 9, 831-862 (1986). Reviewer: T.Nakazi MSC: 30D55 42A99 33C45 PDFBibTeX XMLCite \textit{C. Markett} et al., Integral Equations Oper. Theory 9, 831--862 (1986; Zbl 0613.30035) Full Text: DOI
Görlich, E.; Markett, C. A lower bound for projection operators on \(L^ 1(-1,1)\). (English) Zbl 0602.41007 Ark. Mat. 24, 81-92 (1986). MSC: 41A10 42C10 33C45 PDFBibTeX XMLCite \textit{E. Görlich} and \textit{C. Markett}, Ark. Mat. 24, 81--92 (1986; Zbl 0602.41007) Full Text: DOI
Markett, C. A new proof of Watson’s product formula for Laguerre polynomials via a Cauchy problem associated with a singular differential operator. (English) Zbl 0599.33018 SIAM J. Math. Anal. 17, 1010-1032 (1986). MSC: 33C45 35C10 PDFBibTeX XMLCite \textit{C. Markett}, SIAM J. Math. Anal. 17, 1010--1032 (1986; Zbl 0599.33018) Full Text: DOI
Markett, Clemens The Lebesgue constants for Fourier-Bessel series, mean convergence, and the order of singularity of a Sturm-Liouville equation. (English) Zbl 0591.33006 J. Math. Anal. Appl. 103, 497-523 (1984). Reviewer: H.Hochstadt MSC: 33C10 34L99 33C45 PDFBibTeX XMLCite \textit{C. Markett}, J. Math. Anal. Appl. 103, 497--523 (1984; Zbl 0591.33006) Full Text: DOI
Markett, Clemens Product formulas for Bessel, Whittaker, and Jacobi functions via the solution of an associated Cauchy problem. (English) Zbl 0586.33008 Approximation theory and functional analysis, Anniv. Vol., Proc. Conf., Oberwolfach 1983, ISNM 65, 449-462 (1984). Reviewer: R.Askey MSC: 33C45 35L15 44A15 PDFBibTeX XML
Markett, C. Norm estimates for generalized translation operators associated with a singular differential operator. (English) Zbl 0566.35074 Indag. Math. 46, 299-313 (1984). MSC: 35P10 44A35 42C10 35Q99 PDFBibTeX XMLCite \textit{C. Markett}, Indag. Math. 46, 299--313 (1984; Zbl 0566.35074)
Markett, C. Norm estimates for \((C,\delta)\) means of Hermite expansions and bounds for \(\delta_{eff}\). (English) Zbl 0538.42012 Acta Math. Hung. 43, 187-198 (1984). MSC: 42C10 40G05 PDFBibTeX XMLCite \textit{C. Markett}, Acta Math. Hung. 43, 187--198 (1984; Zbl 0538.42012) Full Text: DOI
Markett, C. Cohen type inequalities for Jacobi, Laguerre and Hermite expansions. (English) Zbl 0542.42015 SIAM J. Math. Anal. 14, 819-833 (1983). Reviewer: R.Chandel MSC: 42C10 42A05 PDFBibTeX XMLCite \textit{C. Markett}, SIAM J. Math. Anal. 14, 819--833 (1983; Zbl 0542.42015) Full Text: DOI
Markett, C. Nikolskii-type inequalities for Laguerre and Hermite expansions. (English) Zbl 0536.41019 Functions, series, operators, Proc. int. Conf., Budapest 1980, Vol. II, Colloq. Math. Soc. János Bolyai 35, 811-834 (1983). MSC: 41A17 33C45 42C10 PDFBibTeX XML
Markett, C. Mean Cesaro summability of Laguerre expansions and norm estimates with shifted parameter. (English) Zbl 0515.42023 Anal. Math. 8, 19-37 (1982). MSC: 42C10 PDFBibTeX XMLCite \textit{C. Markett}, Anal. Math. 8, 19--37 (1982; Zbl 0515.42023) Full Text: DOI
Goerlich, E.; Markett, C. A convolution structure for Laguerre series. (English) Zbl 0489.42030 Indag. Math. 44, 161-171 (1982). MSC: 42C10 33C45 40G05 PDFBibTeX XMLCite \textit{E. Goerlich} and \textit{C. Markett}, Indag. Math. 44, 161--171 (1982; Zbl 0489.42030)
Markett, C. Norm estimates for Cesaro means of Laguerre expansions. (English) Zbl 0485.42014 Approximation and function spaces, Proc. int. Conf., Gdansk 1979, 419-435 (1981). MSC: 42C10 40G05 PDFBibTeX XML
Goerlich, E.; Markett, C. Projections with norms smaller than those of the ultraspherical and Laguerre partial sums. (English) Zbl 0473.42019 Functional analysis and approximation, Proc. Conf., Oberwolfach 1980, ISNM 60, 189-202 (1981). MSC: 42C10 PDFBibTeX XML
Markett, Clemens Cesaro-Mittel, Projektionen und Nikolskii-Ungleichungen für Laguerre- und Hermite-Entwicklungen. (German) Zbl 0454.42011 Mathematisch-Naturwissenschaftliche Fakultät der Rheinisch-Westfälischen Technischen Hochschule Aachen. 185 S. (1979). MSC: 42C10 40G05 34B30 PDFBibTeX XML
Görlich, E.; Markett, C. Mean Cesaro summability and operator norms for Laguerre expansions. (English) Zbl 0437.42013 Commentat. math., spec. Vol. II, dedic. L. Orlicz, 139-148 (1979). MSC: 42C10 40G05 PDFBibTeX XMLCite \textit{E. Görlich} and \textit{C. Markett}, Commentat. Math., 139--148 (1979; Zbl 0437.42013)
Görlich, E.; Markett, C. On approximation by Cesaro means of the Laguerre expansion and best approximation. (English) Zbl 0388.42008 Result. Math. 2, 124-150 (1979). MSC: 42C10 42A85 41A10 41A50 40G05 PDFBibTeX XMLCite \textit{E. Görlich} and \textit{C. Markett}, Result. Math. 2, 124--150 (1979; Zbl 0388.42008) Full Text: DOI
Görlich, E.; Markett, C. Estimates for the norm of the Laguerre translation operator. (English) Zbl 0384.42013 Numer. Funct. Anal. Optimization 1, 203-222 (1979). MSC: 42C10 42A85 41A10 40G05 33C45 PDFBibTeX XMLCite \textit{E. Görlich} and \textit{C. Markett}, Numer. Funct. Anal. Optim. 1, 203--222 (1979; Zbl 0384.42013) Full Text: DOI
Görlich, E.; Markett, C. On a relation between the norms of Cesaro means of Jacobi expansions. (English) Zbl 0415.40002 Lin. Räume und Approx., Abh. Tag. Oberwolfach 1977, ISNM 40, 251-262 (1978). MSC: 40G05 42C15 PDFBibTeX XML
Görlich, E.; Markett, C. On a relation between the norms of Cesaro means of Jacobi expansions. (English) Zbl 0384.42014 Linear Spaces and Approximation. Proc. Conf. Math. Res. Inst. Oberwolfach, Black Forest, 1977, ed. by P.L. Butzer and B. Sz.-Nagy. ISNM 40, Basel: Birkhäuser, 251-262 (1978). MSC: 42C10 40G05 PDFBibTeX XML