Sharapudinov, I. I.; Magomed-Kasumov, M. G. On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials. (English. Russian original) Zbl 1398.42015 Differ. Equ. 54, No. 1, 49-66 (2018); translation from Differ. Uravn. 54, No. 1, 51-68 (2018). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 PDF BibTeX XML Cite \textit{I. I. Sharapudinov} and \textit{M. G. Magomed-Kasumov}, Differ. Equ. 54, No. 1, 49--66 (2018; Zbl 1398.42015); translation from Differ. Uravn. 54, No. 1, 51--68 (2018) Full Text: DOI
Ward, A. D. On the variational constant associated to the \(L_p\)-Hardy inequality. (English) Zbl 1379.46030 J. Aust. Math. Soc. 102, No. 3, 405-419 (2017). MSC: 46E35 47A63 47A05 26D15 PDF BibTeX XML Cite \textit{A. D. Ward}, J. Aust. Math. Soc. 102, No. 3, 405--419 (2017; Zbl 1379.46030) Full Text: DOI
Einsiedler, Manfred; Ward, Thomas Functional analysis, spectral theory, and applications. (English) Zbl 1387.46001 Graduate Texts in Mathematics 276. Cham: Springer (ISBN 978-3-319-58539-0/hbk; 978-3-319-58540-6/ebook). xiv, 614 p. (2017). Reviewer: Jan-David Hardtke (Berlin) MSC: 46-01 47-01 46B10 46C05 46A03 46E15 46E30 46E35 46L05 47A05 47A10 47A60 47B15 47B25 43A07 PDF BibTeX XML Cite \textit{M. Einsiedler} and \textit{T. Ward}, Functional analysis, spectral theory, and applications. Cham: Springer (2017; Zbl 1387.46001) Full Text: DOI
Hirao, Masatake; Okuda, Takayuki; Sawa, Masanori Some remarks on cubature formulas with linear operators. (English) Zbl 1347.41038 J. Math. Soc. Japan 68, No. 2, 711-735 (2016). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A55 65D32 05E99 15A63 PDF BibTeX XML Cite \textit{M. Hirao} et al., J. Math. Soc. Japan 68, No. 2, 711--735 (2016; Zbl 1347.41038) Full Text: DOI Euclid
Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan Sobolev orthogonal polynomials on product domains. (English) Zbl 1312.33039 J. Comput. Appl. Math. 284, 202-215 (2015). MSC: 33C50 42C10 PDF BibTeX XML Cite \textit{L. Fernández} et al., J. Comput. Appl. Math. 284, 202--215 (2015; Zbl 1312.33039) Full Text: DOI
Dueñas, Herbert; Garza, Luis E.; Piñar, Miguel A higher order Sobolev-type inner product for orthogonal polynomials in several variables. (English) Zbl 1432.42021 Numer. Algorithms 68, No. 1, 35-46 (2015). MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{H. Dueñas} et al., Numer. Algorithms 68, No. 1, 35--46 (2015; Zbl 1432.42021) Full Text: DOI
Marcellán, Francisco; Pinzón-Cortés, Natalia C. Generalized coherent pairs on the unit circle and Sobolev orthogonal polynomials. (English) Zbl 1349.42055 Publ. Inst. Math., Nouv. Sér. 96(110), 193-210 (2014). Reviewer: Milan Kovačević (Niš) MSC: 42C05 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{N. C. Pinzón-Cortés}, Publ. Inst. Math., Nouv. Sér. 96(110), 193--210 (2014; Zbl 1349.42055) Full Text: DOI
Derevyagin, Maxim; Marcellán, Francisco A note on the Geronimus transformation and Sobolev orthogonal polynomials. (English) Zbl 1306.42043 Numer. Algorithms 67, No. 2, 271-287 (2014). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 15A23 PDF BibTeX XML Cite \textit{M. Derevyagin} and \textit{F. Marcellán}, Numer. Algorithms 67, No. 2, 271--287 (2014; Zbl 1306.42043) Full Text: DOI arXiv
Dueñas, Herbert; Garza, Luis E. Jacobi-Sobolev-type orthogonal polynomials: holonomic equation and electrostatic interpretation – a non-diagonal case. (English) Zbl 1264.42005 Integral Transforms Spec. Funct. 24, No. 1, 70-83 (2013). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{H. Dueñas} and \textit{L. E. Garza}, Integral Transforms Spec. Funct. 24, No. 1, 70--83 (2013; Zbl 1264.42005) Full Text: DOI
Castillo, Kenier; Garza, Luis E.; Marcellán, Francisco Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle. (English) Zbl 1273.42025 Integral Transforms Spec. Funct. 24, No. 1, 23-38 (2013). Reviewer: Nele De Schepper (Gent) MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{K. Castillo} et al., Integral Transforms Spec. Funct. 24, No. 1, 23--38 (2013; Zbl 1273.42025) Full Text: DOI
Castillo, K.; Garza, L. E.; Marcellán, F. Zeros of Sobolev orthogonal polynomials on the unit circle. (English) Zbl 1254.33012 Numer. Algorithms 60, No. 4, 669-681 (2012). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 42C05 PDF BibTeX XML Cite \textit{K. Castillo} et al., Numer. Algorithms 60, No. 4, 669--681 (2012; Zbl 1254.33012) Full Text: DOI
Auchmuty, Giles Bases and comparison results for linear elliptic eigenproblems. (English) Zbl 1238.35069 J. Math. Anal. Appl. 390, No. 1, 394-406 (2012). MSC: 35P15 49R05 46C05 15A63 47A75 PDF BibTeX XML Cite \textit{G. Auchmuty}, J. Math. Anal. Appl. 390, No. 1, 394--406 (2012; Zbl 1238.35069) Full Text: DOI
Pijeira, Héctor; Quintana, Yamilet; Rodríguez, José M. Sobolev formal orthogonality on algebraic curves and extensions of favard theorem. (English) Zbl 1260.42018 Jaen J. Approx. 3, No. 2, 193-207 (2011). MSC: 42C05 11E39 15A63 30E05 PDF BibTeX XML Cite \textit{H. Pijeira} et al., Jaen J. Approx. 3, No. 2, 193--207 (2011; Zbl 1260.42018)
Girela, Daniel; González, Cristóbal; Jevtić, Miroljub Inner functions in Lipschitz, Besov, and Sobolev spaces. (English) Zbl 1234.30041 Abstr. Appl. Anal. 2011, Article ID 626254, 26 p. (2011). MSC: 30J05 30H25 30H10 30J10 30J15 PDF BibTeX XML Cite \textit{D. Girela} et al., Abstr. Appl. Anal. 2011, Article ID 626254, 26 p. (2011; Zbl 1234.30041) Full Text: DOI
Dueñas, Herber; Garza, Luis Asymptotic behaviour of the Jacobi Sobolev-type orthogonal polynomials. A non diagonal case. (English) Zbl 1234.33017 Rev. Acad. Colomb. Cienc. Exactas, Fis. Nat. 34, No. 133, 529-539 (2010). MSC: 33C47 33C45 PDF BibTeX XML Cite \textit{H. Dueñas} and \textit{L. Garza}, Rev. Acad. Colomb. Cienc. Exactas, Fis. Nat. 34, No. 133, 529--539 (2010; Zbl 1234.33017)
App, Andreas; Reif, Ulrich Piecewise linear orthogonal approximation. (English) Zbl 1213.65026 SIAM J. Numer. Anal. 48, No. 3, 840-856 (2010). MSC: 65D15 41A15 PDF BibTeX XML Cite \textit{A. App} and \textit{U. Reif}, SIAM J. Numer. Anal. 48, No. 3, 840--856 (2010; Zbl 1213.65026) Full Text: DOI
Dueñas, Herbert; Marcellán, Francisco Asymptotic behaviour of Laguerre-Sobolev-type orthogonal polynomials. A nondiagonal case. (English) Zbl 1213.33018 J. Comput. Appl. Math. 235, No. 4, 998-1007 (2010). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C47 33C45 42C05 PDF BibTeX XML Cite \textit{H. Dueñas} and \textit{F. Marcellán}, J. Comput. Appl. Math. 235, No. 4, 998--1007 (2010; Zbl 1213.33018) Full Text: DOI
Berriochoa, Elías; Cachafeiro, Alicia Algorithms for solving Hermite interpolation problems using the fast Fourier transform. (English) Zbl 1215.33009 J. Comput. Appl. Math. 235, No. 4, 882-894 (2010). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C47 65D05 33C52 65T50 65D15 65T40 PDF BibTeX XML Cite \textit{E. Berriochoa} and \textit{A. Cachafeiro}, J. Comput. Appl. Math. 235, No. 4, 882--894 (2010; Zbl 1215.33009) Full Text: DOI
Alfaro, Manuel; Peña, Ana; Rezola, M. Luisa; Moreno-Balcázar, Juan José Asymptotics for a generalization of Hermite polynomials. (English) Zbl 1190.33010 Asymptotic Anal. 66, No. 2, 103-117 (2010). MSC: 33C45 PDF BibTeX XML Cite \textit{M. Alfaro} et al., Asymptotic Anal. 66, No. 2, 103--117 (2010; Zbl 1190.33010) Full Text: DOI
Alfaro, Manuel; Moreno-Balcázar, Juan José; Peña, Ana; Rezola, M. Luisa Sobolev orthogonal polynomials: Balance and asymptotics. (English) Zbl 1158.33005 Trans. Am. Math. Soc. 361, No. 1, 547-560 (2009). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33D45 33D80 PDF BibTeX XML Cite \textit{M. Alfaro} et al., Trans. Am. Math. Soc. 361, No. 1, 547--560 (2009; Zbl 1158.33005) Full Text: DOI
Berriochoa, E.; Cachafeiro, A.; Garcia-Amor, J. Asymptotics on the support for Sobolev orthogonal polynomials on a bounded interval. (English) Zbl 1080.42023 Comput. Math. Appl. 50, No. 3-4, 381-391 (2005). MSC: 42C05 PDF BibTeX XML Cite \textit{E. Berriochoa} et al., Comput. Math. Appl. 50, No. 3--4, 381--391 (2005; Zbl 1080.42023) Full Text: DOI
Berriochoa, E.; Cachafeiro, A.; Garcia-Amor, J. M. Asymptotic properties of Chebyshev-Sobolev orthogonal polynomials. (English) Zbl 1060.42016 J. Comput. Appl. Math. 178, No. 1-2, 63-74 (2005). MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{E. Berriochoa} et al., J. Comput. Appl. Math. 178, No. 1--2, 63--74 (2005; Zbl 1060.42016) Full Text: DOI
Robert, Leonel; Santiago, Luis On a class of Sobolev scalar products in the polynomials. (English) Zbl 1042.42018 J. Approximation Theory 125, No. 2, 169-189 (2003). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 33C45 42C30 PDF BibTeX XML Cite \textit{L. Robert} and \textit{L. Santiago}, J. Approx. Theory 125, No. 2, 169--189 (2003; Zbl 1042.42018) Full Text: DOI
Marcellán, Francisco; Sánchez-Ruiz, Jorge Connection coefficients for Laguerre–Sobolev orthogonal polynomials. (English) Zbl 1033.42027 J. Math. Anal. Appl. 283, No. 2, 440-458 (2003). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{J. Sánchez-Ruiz}, J. Math. Anal. Appl. 283, No. 2, 440--458 (2003; Zbl 1033.42027) Full Text: DOI
Berriochoa, E.; Cachafeiro, A. On the strong asymptotics for Sobolev orthogonal polynomials on the circle. (English) Zbl 1015.42017 Constructive Approximation 19, No. 2, 299-307 (2003). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{E. Berriochoa} and \textit{A. Cachafeiro}, Constr. Approx. 19, No. 2, 299--307 (2003; Zbl 1015.42017) Full Text: DOI
Böe, Bjarte A norm on the holomorphic Besov space. (English) Zbl 1006.30032 Proc. Am. Math. Soc. 131, No. 1, 235-241 (2003). Reviewer: Jürgen Müller (Trier) MSC: 30H05 30D50 46E35 PDF BibTeX XML Cite \textit{B. Böe}, Proc. Am. Math. Soc. 131, No. 1, 235--241 (2003; Zbl 1006.30032) Full Text: DOI
El Kinani, Abdellah Sobolev algebras and \(m\)-convex structure. (Algèbres de Sobolev et structure \(m\)-convexe.) (French) Zbl 1145.46304 Matematiche 57, No. 2, 175-183 (2002). Reviewer: Wiesław Tadeusz Żelazko (Warszawa) MSC: 46H20 46C50 46E35 PDF BibTeX XML Cite \textit{A. El Kinani}, Matematiche 57, No. 2, 175--183 (2002; Zbl 1145.46304)
Marcellán, F.; Moral, L. Sobolev-type orthogonal polynomials on the unit circle. (English) Zbl 1033.42025 Appl. Math. Comput. 128, No. 2-3, 329-363 (2002). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{L. Moral}, Appl. Math. Comput. 128, No. 2--3, 329--363 (2002; Zbl 1033.42025) Full Text: DOI
Álvarez de Morales, María; Pérez, Teresa E.; Pinar, Miguel A. Orthogonal polynomials associated with a \(\Delta\)-Sobolev inner product. (English) Zbl 0997.39007 J. Difference Equ. Appl. 8, No. 2, 125-151 (2002). MSC: 39A12 33C45 42C05 46C50 PDF BibTeX XML Cite \textit{M. Álvarez de Morales} et al., J. Difference Equ. Appl. 8, No. 2, 125--151 (2002; Zbl 0997.39007) Full Text: DOI
Molina-Tébar, Antonio; Muñoz-Delgado, Francisco-Javier Conservative approximation by scalar products of Sobolev type. (Spanish) Zbl 1009.41020 Madaune-Tort, Monique (ed.) et al., Proceedings of the 5th Zaragoza-Pau conference on applied mathematics and statistics, Jaca, Spain, September 15-16, 1997. Zaragoza: Universidad de Zaragoza. Publ. Semin. Mat. García de Galdeano, Serie II. 20, 461-468 (1999). MSC: 41A35 41A36 PDF BibTeX XML Cite \textit{A. Molina-Tébar} and \textit{F.-J. Muñoz-Delgado}, in: Actas de las V jornadas Zaragoza-Pau de matemática aplicada y estadísta. Zaragoza: Universidad de Zaragoza. 461--468 (1999; Zbl 1009.41020)
Asada, Akira Clifford bundles over mapping spaces. (English) Zbl 0951.58013 Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 309-317 (1999). Reviewer: D.Motreanu (Iaşi) MSC: 58D15 58J50 15A63 81T30 PDF BibTeX XML Cite \textit{A. Asada}, in: Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10--14, 1998. Brno: Masaryk University. 309--317 (1999; Zbl 0951.58013) Full Text: EMIS
Miller, John G. Differential operators over \(C^*\)-algebras. (English) Zbl 0940.46039 Rocky Mt. J. Math. 29, No. 1, 239-269 (1999). Reviewer: Abdugafur Rakhimov (Tashkent) MSC: 46L05 47G30 46E35 58J40 PDF BibTeX XML Cite \textit{J. G. Miller}, Rocky Mt. J. Math. 29, No. 1, 239--269 (1999; Zbl 0940.46039) Full Text: DOI Link
Berriochoa, E.; Cachafeiro, A. Lebesgue Sobolev orthogonality on the unit circle. (English) Zbl 0933.42011 J. Comput. Appl. Math. 96, No. 1, 27-34 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 PDF BibTeX XML Cite \textit{E. Berriochoa} and \textit{A. Cachafeiro}, J. Comput. Appl. Math. 96, No. 1, 27--34 (1998; Zbl 0933.42011) Full Text: DOI
Martínez-Finkelshtein, Andrei Asymptotic properties of Sobolev orthogonal polynomials. (English) Zbl 0933.42013 J. Comput. Appl. Math. 99, No. 1-2, 491-510 (1998). Reviewer: Arun Kumar Agarwal (Grambling) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{A. Martínez-Finkelshtein}, J. Comput. Appl. Math. 99, No. 1--2, 491--510 (1998; Zbl 0933.42013) Full Text: DOI
Pan, K. On Sobolev orthogonal polynomials with coherent pairs: The Laguerre case, type 1. (English) Zbl 0913.42019 J. Math. Anal. Appl. 223, No. 1, 319-333 (1998). Reviewer: R.Koekoek (Delft) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{K. Pan}, J. Math. Anal. Appl. 223, No. 1, 319--333 (1998; Zbl 0913.42019) Full Text: DOI
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J.; Pijeira-Cabrera, Héctor Asymptotics for Gegenbauer-Sobolev type polynomials. (English) Zbl 0901.33001 Martínez Finkelshtein, Andrei (ed.) et al., Complex methods in approximation theory. Proceedings of the workshop, University of Almería, Spain, June 5–8, 1995. Almería: Univ. de Almería, Servicio de Publicaciones, Monografías Ciencia y Tecnología. 2, 85-91 (1997). Reviewer: J.Müller (Trier) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{A. Martínez-Finkelshtein} et al., in: Complex methods in approximation theory. Proceedings of the workshop, University of Almería, Spain, June 5--8, 1995. Almería: Univ. de Almería, Servicio de Publicaciones. 85--91 (1997; Zbl 0901.33001)
Alfaro, M.; Marcellán, F.; Rezola, M. L. Estimates for Jacobi-Sobolev type orthogonal polynomials. (English) Zbl 0888.33006 Appl. Anal. 67, No. 1-2, 157-174 (1997). Reviewer: M.Alfaro MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{M. Alfaro} et al., Appl. Anal. 67, No. 1--2, 157--174 (1997; Zbl 0888.33006) Full Text: DOI
Pan, K. On Sobolev orthogonal polynomials with coherent pairs. The Jacobi case. (English) Zbl 0871.42024 J. Comput. Appl. Math. 79, No. 2, 249-262 (1997). MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{K. Pan}, J. Comput. Appl. Math. 79, No. 2, 249--262 (1997; Zbl 0871.42024) Full Text: DOI
Shirokov, N. A. Inner functions in the analytic Besov classes. (English. Russian original) Zbl 0917.46024 St. Petersbg. Math. J. 8, No. 4, 675-694 (1997); translation from Algebra Anal. 8, No. 4, 193-221 (1996). Reviewer: R.Johnson (College Park) MSC: 46E35 30D50 30D55 PDF BibTeX XML Cite \textit{N. A. Shirokov}, St. Petersbg. Math. J. 8, No. 4, 193--221 (1996; Zbl 0917.46024); translation from Algebra Anal. 8, No. 4, 193--221 (1996)
Han, S. S.; Kwon, K. H.; Littlejohn, L. L. Zeros of orthogonal polynomials in certain discrete Sobolev spaces. (English) Zbl 0852.42014 J. Comput. Appl. Math. 67, No. 2, 309-325 (1996). MSC: 42C05 46E35 PDF BibTeX XML Cite \textit{S. S. Han} et al., J. Comput. Appl. Math. 67, No. 2, 309--325 (1996; Zbl 0852.42014) Full Text: DOI
Pospelov, V. V. On the theory of singular expansion in a tensor product of Hilbert spaces. (English. Russian original) Zbl 0854.46019 Russ. Acad. Sci., Sb., Math. 82, No. 2, 357-364 (1995); translation from Mat. Sb. 185, No. 7, 109-118 (1994). MSC: 46C05 46B28 46E35 PDF BibTeX XML Cite \textit{V. V. Pospelov}, Russ. Acad. Sci., Sb., Math. 82, No. 2, 109--118 (1994; Zbl 0854.46019); translation from Mat. Sb. 185, No. 7, 109--118 (1994) Full Text: DOI
Arazy, Jonathan Realization of the invariant inner products on the highest quotients of the composition series. (English) Zbl 0767.46015 Ark. Mat. 30, No. 1, 1-24 (1992). Reviewer: T.V.Tonev (Missoula) MSC: 46E20 46E35 46E22 32M15 PDF BibTeX XML Cite \textit{J. Arazy}, Ark. Mat. 30, No. 1, 1--24 (1992; Zbl 0767.46015) Full Text: DOI
Richtmyer, Robert D. Principles of advanced mathematical physics. (Printsipy sovremennoj matematicheskoj fiziki). Transl. from the English. (Russian) Zbl 0537.46003 Moskva: Izdatel’stvo ”Mir”. 486 p. R. 2.20 (1982). MSC: 46-01 47-01 47A10 46F10 28A12 28C20 31B10 46C05 46E30 46E35 46F12 47A05 47A60 47B06 47B10 47B25 47E05 47F05 60A05 81P10 82B10 PDF BibTeX XML
Hanouzet, B.; Joly, J. L. Formes bilineaires compatibles avec un système. (French) Zbl 0495.35021 Journ. Équ. Dériv. Partielles, Saint-Jean-De-Monts 1982, Exp. No. 19, 5 p. (1982). MSC: 35F05 15A63 46E35 PDF BibTeX XML Full Text: Numdam EuDML
Griffel, D. H. Applied functional analysis. (English) Zbl 0461.46001 Ellis Horwood Series in Mathematics and its Applications. Chichester: Ellis Horwood Limited, Publishers. New York etc.: Halsted Press: a division of John Wiley & Sons. 386 p. £25.00 (1981). MSC: 46-01 46C05 46F05 46B03 46B10 46E15 46E20 46E30 46E35 46F10 46F12 47A05 47A10 47A53 47A70 47B06 47B38 47D03 47E05 47F05 47Gxx 47H10 47J05 47J25 49R50 34A30 34A35 34L99 34C15 34D99 34E99 35A05 35A08 35A15 35A22 35B32 35B35 35C20 35E05 35J05 35K05 35L05 35J15 35J20 35J30 35J35 35P05 42A16 42A20 42A65 42B05 45B05 45C05 45D05 45G10 70J25 70K20 70K30 37G99 76R99 76U05 PDF BibTeX XML
Richtmyer, Robert D. Principles of advanced mathematical physics. Vol. I. (English) Zbl 0402.46001 Texts and Monographs in Physics. Berlin-Heidelberg-New York: Springer-Verlag. XV, 422 p. DM 44.00; $ 24.20 (1978). MSC: 46-01 46C05 46F12 46F10 46E30 46E35 31B10 47A05 47A10 47A60 47B25 47E05 47F05 47B06 47B10 28A12 28C20 81P10 60A05 47-01 82B10 PDF BibTeX XML