Xu, Jianjun; Cui, Wenquan A new RKHS-based global testing for functional linear model. (English) Zbl 1478.62097 Stat. Probab. Lett. 182, Article ID 109277, 12 p. (2022). MSC: 62G08 62J05 62H25 62G20 62R10 PDF BibTeX XML Cite \textit{J. Xu} and \textit{W. Cui}, Stat. Probab. Lett. 182, Article ID 109277, 12 p. (2022; Zbl 1478.62097) Full Text: DOI arXiv OpenURL
Carmona, Angeles; Encinas, Andres Marcos; Mitjana, Margarida Eigenvalues with respect to a weight for general boundary value problems on networks. (English) Zbl 1467.34030 Linear Algebra Appl. 614, 208-243 (2021). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 34B45 34L15 34L40 PDF BibTeX XML Cite \textit{A. Carmona} et al., Linear Algebra Appl. 614, 208--243 (2021; Zbl 1467.34030) Full Text: DOI OpenURL
Agud, L.; Calabuig, J. M.; Sánchez Pérez, E. A. Weighted \(p\)-regular kernels for reproducing kernel Hilbert spaces and Mercer theorem. (English) Zbl 1453.46018 Anal. Appl., Singap. 18, No. 3, 359-383 (2020). MSC: 46E22 46E30 30C40 47B34 PDF BibTeX XML Cite \textit{L. Agud} et al., Anal. Appl., Singap. 18, No. 3, 359--383 (2020; Zbl 1453.46018) Full Text: DOI OpenURL
Arendt, W.; ter Elst, A. F. M. Operators with continuous kernels. (English) Zbl 07123546 Integral Equations Oper. Theory 91, No. 5, Paper No. 45, 20 p. (2019). MSC: 47G10 47B10 PDF BibTeX XML Cite \textit{W. Arendt} and \textit{A. F. M. ter Elst}, Integral Equations Oper. Theory 91, No. 5, Paper No. 45, 20 p. (2019; Zbl 07123546) Full Text: DOI arXiv OpenURL
Younes, Laurent Shapes and diffeomorphisms. 2nd updated edition. (English) Zbl 1423.53002 Applied Mathematical Sciences 171. Berlin: Springer (ISBN 978-3-662-58495-8/hbk; 978-3-662-58496-5/ebook). xxiv, 558 p. (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 53-02 53A04 53A05 37C10 37E30 49-02 49K15 49Q10 65D18 68U05 68U07 58D05 PDF BibTeX XML Cite \textit{L. Younes}, Shapes and diffeomorphisms. 2nd updated edition. Berlin: Springer (2019; Zbl 1423.53002) Full Text: DOI OpenURL
Chang, Der-Chen; Frieder, Ophir; Yao, Hao-Ren On Bochner’s theorem and its application to graph kernels. (English) Zbl 1457.32012 J. Nonlinear Convex Anal. 19, No. 12, 2135-2151 (2018). MSC: 32A55 45G10 47H09 PDF BibTeX XML Cite \textit{D.-C. Chang} et al., J. Nonlinear Convex Anal. 19, No. 12, 2135--2151 (2018; Zbl 1457.32012) Full Text: Link OpenURL
Ferreira, José Claudinei On reproducing kernel and density problems. (English) Zbl 1380.46019 Positivity 21, No. 1, 143-155 (2017). Reviewer: Przemysław Ohrysko (Warszawa) MSC: 46E22 PDF BibTeX XML Cite \textit{J. C. Ferreira}, Positivity 21, No. 1, 143--155 (2017; Zbl 1380.46019) Full Text: DOI OpenURL
Bueno-Guerrero, Alberto; Moreno, Manuel; Navas, Javier F. The stochastic string model as a unifying theory of the term structure of interest rates. (English) Zbl 1400.91629 Physica A 461, 217-237 (2016). MSC: 91G30 91G20 60H30 62H25 62P05 PDF BibTeX XML Cite \textit{A. Bueno-Guerrero} et al., Physica A 461, 217--237 (2016; Zbl 1400.91629) Full Text: DOI OpenURL
Perić, Ivan On boundary domination in the Jensen-Mercer inequality. (English) Zbl 1333.26013 J. Math. Inequal. 9, No. 4, 983-1000 (2015). MSC: 26A51 26D15 PDF BibTeX XML Cite \textit{I. Perić}, J. Math. Inequal. 9, No. 4, 983--1000 (2015; Zbl 1333.26013) Full Text: DOI OpenURL
Cuadras, Carles M. Contributions to the diagonal expansion of a bivariate copula with continuous extensions. (English) Zbl 1328.62363 J. Multivariate Anal. 139, 28-44 (2015); corrigendum ibid. 147, 315 (2016). MSC: 62H20 60E05 PDF BibTeX XML Cite \textit{C. M. Cuadras}, J. Multivariate Anal. 139, 28--44 (2015; Zbl 1328.62363) Full Text: DOI OpenURL
Chiou, Jeng-Min; Chen, Yu-Ting; Yang, Ya-Fang Multivariate functional principal component analysis: a normalization approach. (English) Zbl 1480.62115 Stat. Sin. 24, No. 4, 1571-1596 (2014). MSC: 62H25 62H30 62P99 60K30 PDF BibTeX XML Cite \textit{J.-M. Chiou} et al., Stat. Sin. 24, No. 4, 1571--1596 (2014; Zbl 1480.62115) Full Text: DOI Link OpenURL
Usachev, Alexandr On Fourier-Haar coefficients of the function from the Marcinkiewicz space. (English) Zbl 1352.42029 J. Math. Anal. Appl. 414, No. 1, 110-124 (2014). MSC: 42B35 42C10 42A16 PDF BibTeX XML Cite \textit{A. Usachev}, J. Math. Anal. Appl. 414, No. 1, 110--124 (2014; Zbl 1352.42029) Full Text: DOI OpenURL
Ferreira, J. C.; Menegatto, V. A. Eigenvalue decay rates for positive integral operators. (English) Zbl 1296.45001 Ann. Mat. Pura Appl. (4) 192, No. 6, 1025-1041 (2013). Reviewer: Martin Väth (Berlin) MSC: 45C05 47B10 45P05 47G10 47A70 PDF BibTeX XML Cite \textit{J. C. Ferreira} and \textit{V. A. Menegatto}, Ann. Mat. Pura Appl. (4) 192, No. 6, 1025--1041 (2013; Zbl 1296.45001) Full Text: DOI OpenURL
Ferreira, J. C.; Menegatto, V. A. Positive definiteness, reproducing kernel Hilbert spaces and beyond. (English) Zbl 1275.47047 Ann. Funct. Anal. 4, No. 1, 64-88 (2013). Reviewer: Edward Omey (Brussels) MSC: 47B32 46C05 42A82 45P05 46E22 PDF BibTeX XML Cite \textit{J. C. Ferreira} and \textit{V. A. Menegatto}, Ann. Funct. Anal. 4, No. 1, 64--88 (2013; Zbl 1275.47047) Full Text: DOI EMIS OpenURL
Ferreira, J. C.; Menegatto, V. A. Reproducing kernel Hilbert spaces associated with kernels on topological spaces. (English. Russian original) Zbl 1277.46015 Funct. Anal. Appl. 46, No. 2, 152-154 (2012); translation from Funkts. Anal. Prilozh. 46, No. 2, 89-91 (2012). MSC: 46E22 PDF BibTeX XML Cite \textit{J. C. Ferreira} and \textit{V. A. Menegatto}, Funct. Anal. Appl. 46, No. 2, 152--154 (2012; Zbl 1277.46015); translation from Funkts. Anal. Prilozh. 46, No. 2, 89--91 (2012) Full Text: DOI OpenURL
Menegatto, V. A.; Oliveira, C. P. An extension of Mercer’s theorem via Pontryagin spaces. (English) Zbl 1290.47047 Integral Equations Oper. Theory 74, No. 3, 363-375 (2012). Reviewer: Carsten Trunk (Ilmenau) MSC: 47G10 45H05 47B50 47B38 PDF BibTeX XML Cite \textit{V. A. Menegatto} and \textit{C. P. Oliveira}, Integral Equations Oper. Theory 74, No. 3, 363--375 (2012; Zbl 1290.47047) Full Text: DOI OpenURL
Fasshauer, Gregory E. Green’s functions: taking another look at kernel approximation, radial basis functions, and splines. (English) Zbl 1250.65107 Neamtu, Marian (ed.) et al., Approximation theory XIII: San Antonio 2010. Selected papers based on the presentations at the conference, San Antonio, TX, USA, March 7–10, 2010. New York, NY: Springer (ISBN 978-1-4614-0771-3/hbk; 978-1-4614-0772-0/ebook). Springer Proceedings in Mathematics 13, 37-63 (2012). MSC: 65L15 34L10 34B27 46E22 PDF BibTeX XML Cite \textit{G. E. Fasshauer}, Springer Proc. Math. 13, 37--63 (2012; Zbl 1250.65107) Full Text: DOI Link OpenURL
Huang, Chunfeng; Zhang, Haimeng; Robeson, Scott M. A simplified representation of the covariance structure of axially symmetric processes on the sphere. (English) Zbl 1251.60012 Stat. Probab. Lett. 82, No. 7, 1346-1351 (2012). MSC: 60D05 60G60 PDF BibTeX XML Cite \textit{C. Huang} et al., Stat. Probab. Lett. 82, No. 7, 1346--1351 (2012; Zbl 1251.60012) Full Text: DOI OpenURL
Fasshauer, Gregory E.; McCourt, Michael J. Stable evaluation of Gaussian radial basis function interpolants. (English) Zbl 1252.65028 SIAM J. Sci. Comput. 34, No. 2, A737-A762 (2012). MSC: 65D05 65D15 65F35 41A63 34L10 PDF BibTeX XML Cite \textit{G. E. Fasshauer} and \textit{M. J. McCourt}, SIAM J. Sci. Comput. 34, No. 2, A737--A762 (2012; Zbl 1252.65028) Full Text: DOI OpenURL
Castro, M. H.; Menegatto, V. A.; Peron, A. P. Integral operators generated by Mercer-like kernels on topological spaces. (English) Zbl 1242.45013 Colloq. Math. 126, No. 1, 125-138 (2012). Reviewer: Shuji Watanabe (Maebashi) MSC: 45P05 45H05 47B34 47G10 42A82 PDF BibTeX XML Cite \textit{M. H. Castro} et al., Colloq. Math. 126, No. 1, 125--138 (2012; Zbl 1242.45013) Full Text: DOI OpenURL
Novitskii, Igor M. Integral operators with infinitely smooth bi-Carleman kernels of Mercer type. (English) Zbl 1399.47126 Int. Electron. J. Pure Appl. Math. 2, No. 1, 43-73 (2010). MSC: 47G10 45P05 45A05 47N20 PDF BibTeX XML Cite \textit{I. M. Novitskii}, Int. Electron. J. Pure Appl. Math. 2, No. 1, 43--73 (2010; Zbl 1399.47126) Full Text: arXiv Link OpenURL
Armitage, David H.; Maddox, Ivor J. A nonlinear analogue of Mercer’s theorem. (English) Zbl 1203.40001 Indian J. Math. 51, No. 3, 681-687 (2009). Reviewer: Stamatis Koumandos (Nicosia) MSC: 40A05 40E10 PDF BibTeX XML Cite \textit{D. H. Armitage} and \textit{I. J. Maddox}, Indian J. Math. 51, No. 3, 681--687 (2009; Zbl 1203.40001) OpenURL
Ferreira, José C.; Menegatto, Valdir A.; Oliveira, Claudemir P. On the nuclearity of integral operators. (English) Zbl 1172.45004 Positivity 13, No. 3, 519-541 (2009). Reviewer: Kun Soo Chang (Seoul) MSC: 45P05 45H05 47B34 PDF BibTeX XML Cite \textit{J. C. Ferreira} et al., Positivity 13, No. 3, 519--541 (2009; Zbl 1172.45004) Full Text: DOI OpenURL
Ferreira, J. C.; Menegatto, V. A. Eigenvalues of integral operators defined by smooth positive definite kernels. (English) Zbl 1173.45001 Integral Equations Oper. Theory 64, No. 1, 61-81 (2009). Reviewer: Kun Soo Chang (Seoul) MSC: 45C05 45P05 PDF BibTeX XML Cite \textit{J. C. Ferreira} and \textit{V. A. Menegatto}, Integral Equations Oper. Theory 64, No. 1, 61--81 (2009; Zbl 1173.45001) Full Text: DOI OpenURL
Carmeli, Claudio; De Vito, Ernesto; Toigo, Alessandro Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem. (English) Zbl 1116.46019 Anal. Appl., Singap. 4, No. 4, 377-408 (2006). Reviewer: Vladimir V. Peller (East Lansing) MSC: 46E22 47B34 47G10 PDF BibTeX XML Cite \textit{C. Carmeli} et al., Anal. Appl., Singap. 4, No. 4, 377--408 (2006; Zbl 1116.46019) Full Text: DOI arXiv OpenURL
Buescu, Jorge Positive integral operators in unbounded domains. (English) Zbl 1068.47060 J. Math. Anal. Appl. 296, No. 1, 244-255 (2004). Reviewer: Amarino Lebre (Lisboa) MSC: 47G10 45P05 47B10 PDF BibTeX XML Cite \textit{J. Buescu}, J. Math. Anal. Appl. 296, No. 1, 244--255 (2004; Zbl 1068.47060) Full Text: DOI OpenURL
Gohberg, Israel; Goldberg, Seymour; Kaashoek, Marinus A. Basic classes of linear operators. (English) Zbl 1065.47001 Basel: Birkhäuser (ISBN 3-7643-6930-2/pbk). xvii, 423 p. (2003). Reviewer: Aleksandar Perović (Berlin) MSC: 47-01 46-01 47Axx 47Bxx 47G10 47N20 PDF BibTeX XML Cite \textit{I. Gohberg} et al., Basic classes of linear operators. Basel: Birkhäuser (2003; Zbl 1065.47001) OpenURL
Gohberg, Israel; Goldberg, Seymour Basic operator theory. Paperback ed. (English) Zbl 0990.47001 Boston, MA: Birkhäuser. xii, 285 p. (2001). Reviewer: Dumitrŭ Popa (Constanta) MSC: 47-01 46-01 47E05 47Gxx 65J10 47A10 47B06 47A53 47H10 PDF BibTeX XML Cite \textit{I. Gohberg} and \textit{S. Goldberg}, Basic operator theory. Paperback ed. Boston, MA: Birkhäuser (2001; Zbl 0990.47001) OpenURL
Krein, M. G. Compact linear operators on functional spaces with two norms. (English) Zbl 0914.47002 Integral Equations Oper. Theory 30, No. 2, 140-162 (1998). Reviewer: F.H.Vasilescu (Villeneuve d’Ascq) MSC: 47A10 47A70 47B15 47B07 01A75 PDF BibTeX XML Cite \textit{M. G. Krein}, Integral Equations Oper. Theory 30, No. 2, 140--162 (1998; Zbl 0914.47002) Full Text: DOI OpenURL
González-Barrios, José; Dudley, R. M. On extensions of Mercer’s theorem. (English) Zbl 0866.47023 Caballero, M. E. (ed.) et al., 3rd symposium on probability and stochastic processes. Proceedings, Hermosillo, Mexico, March 7–11, 1994. To the memory of Diego Bricio Hernández. Hermosillo: Sociedad Matemática Mexicana. Aportaciones Mat., Notas Invest. 11, 91-97 (1994). MSC: 47B38 47G10 47B10 PDF BibTeX XML Cite \textit{J. González-Barrios} and \textit{R. M. Dudley}, Aportaciones Mat., Notas Invest. 11, 91--97 (1994; Zbl 0866.47023) OpenURL
Dostanić, Milutin Generalization of the Mercer theorem. (English) Zbl 0816.47031 Publ. Inst. Math., Nouv. Sér. 54(68), 63-70 (1993). MSC: 47B38 PDF BibTeX XML Cite \textit{M. Dostanić}, Publ. Inst. Math., Nouv. Sér. 54(68), 63--70 (1993; Zbl 0816.47031) Full Text: EuDML OpenURL
Thorpe, B. Mercer’s theorem for two dimensional Cesàro transformations. (English) Zbl 0777.40002 J. Anal. 1, 119-124 (1993). Reviewer: T.Šalát (Bratislava) MSC: 40B05 40G05 PDF BibTeX XML Cite \textit{B. Thorpe}, J. Anal. 1, 119--124 (1993; Zbl 0777.40002) OpenURL
Vlasenko, V. F. A Mercer-type theorem. (English. Russian original) Zbl 0763.40003 J. Sov. Math. 59, No. 1, 679-681 (1992); translation from Teor. Funkts., Funkts. Anal. Prilozh. 55, 131-133 (1991). MSC: 40C05 40A05 PDF BibTeX XML Cite \textit{V. F. Vlasenko}, J. Sov. Math. 59, No. 1, 679--681 (1991; Zbl 0763.40003); translation from Teor. Funkts., Funkts. Anal. Prilozh. 55, 131--133 (1991) Full Text: DOI OpenURL
Altan, S. Burhanettin On positive definiteness of strain energy in nonlocal elasticity. (English) Zbl 0604.73019 Int. J. Eng. Sci. 25, 385-394 (1987). MSC: 74B99 PDF BibTeX XML Cite \textit{S. B. Altan}, Int. J. Eng. Sci. 25, 385--394 (1987; Zbl 0604.73019) Full Text: DOI OpenURL
Leipholz, H. H. E. Assessing stability of elastic systems by considering their small vibrations. (English) Zbl 0523.73050 Ing.-Arch. 53, 345-362 (1983). MSC: 74H45 70J25 70J30 PDF BibTeX XML Cite \textit{H. H. E. Leipholz}, Ing.-Arch. 53, 345--362 (1983; Zbl 0523.73050) Full Text: DOI OpenURL
Reade, J. B. Eigenvalues of positive definite kernels. (English) Zbl 0521.45001 SIAM J. Math. Anal. 14, 152-157 (1983). MSC: 45C05 45L05 45B05 PDF BibTeX XML Cite \textit{J. B. Reade}, SIAM J. Math. Anal. 14, 152--157 (1983; Zbl 0521.45001) Full Text: DOI OpenURL
Thomas, Erik G. F. The trace formula. (English) Zbl 0517.47016 Prediction theory and harmonic analysis, Pesi Masani Vol., 387-402 (1983). MSC: 47B10 43A85 47B38 PDF BibTeX XML OpenURL
Duistermaat, J. J. On operators of trace class in \(L^ 2(\)X,mu). (English) Zbl 0482.47012 Proc. Indian Acad. Sci., Math. Sci. 90, 29-32 (1981). MSC: 47B38 47B10 PDF BibTeX XML Cite \textit{J. J. Duistermaat}, Proc. Indian Acad. Sci., Math. Sci. 90, 29--32 (1981; Zbl 0482.47012) Full Text: DOI OpenURL
Leipholz, H. H. E. An extension of Mercer’s theorem to a class of non-symmetric integral equations. (English) Zbl 0441.45019 Acta Mech. 37, 99-110 (1980). MSC: 45M10 70J10 70J30 74H45 35J25 35C15 45C05 45A05 PDF BibTeX XML Cite \textit{H. H. E. Leipholz}, Acta Mech. 37, 99--110 (1980; Zbl 0441.45019) Full Text: DOI OpenURL
Withers, C. S. Fredholm equations have uniformly convergent solutions. (English) Zbl 0397.45002 J. Math. Anal. Appl. 64, 602-609 (1978). MSC: 45B05 47A70 PDF BibTeX XML Cite \textit{C. S. Withers}, J. Math. Anal. Appl. 64, 602--609 (1978; Zbl 0397.45002) Full Text: DOI OpenURL
Aljancic, S. Abel- und Mercer-Sätze mit Restglied. (German) Zbl 0481.40007 The theory of the approximation of functions, Proc. Inf. Conf. Collect. Artic. Kaluga 1975, 5-9 (1977). MSC: 40G10 40C05 26A12 PDF BibTeX XML OpenURL
Zimering, Shimshon Une extension d’un théorème de R. Rado et ses applications aux théorèmes merceriens. (French) Zbl 0127.28601 C. R. Acad. Sci., Paris 260, 2965-2966 (1965). Reviewer: K. Ishiguro MSC: 40E05 40C05 PDF BibTeX XML Cite \textit{S. Zimering}, C. R. Acad. Sci., Paris 260, 2965--2966 (1965; Zbl 0127.28601) OpenURL
Sõrmus, Tamara On the generalized Mercer theorem. (Über den verallgemeinerten Mercerschen Satz.) (Russian. German summary) Zbl 0131.05803 Izv. Akad. Nauk Èst. SSR, Ser. Fiz.-Mat. Tekh. Nauk 11, 99-106 (1962). Reviewer: Ernest Stipanić (Beograd) MSC: 40G99 PDF BibTeX XML Cite \textit{T. Sõrmus}, Izv. Akad. Nauk Èst. SSR, Ser. Fiz.-Mat. Tekh. Nauk 11, 99--106 (1962; Zbl 0131.05803) OpenURL
Sõrmus, Tamara On some generalizations of Mercer’s theorem. (Über einige Verallgemeinerungen des Satzes von Mercer.) (Russian. German summary) Zbl 0128.28502 Uch. Zap. Tartu. Gos. Univ. 102, 169-184 (1961). Reviewer: Ernest Stipanić (Beograd) MSC: 40G99 PDF BibTeX XML OpenURL
Sõrmus, Tamara On a generalization of the theorem of Mercer for double sequences. (Über eine Verallgemeinerung des Satzes von Mercer für Doppelfolgen.) (Russian. German summary) Zbl 0127.28704 Uch. Zap. Tartu. Gos. Univ. 102, 156-168 (1961). MSC: 40G99 40B05 PDF BibTeX XML OpenURL