Jorgensen, Palle; Tian, Feng Decomposition of Gaussian processes, and factorization of positive definite kernels. (English) Zbl 1443.47085 Opusc. Math. 39, No. 4, 497-541 (2019). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 47L60 46N30 46N50 42C15 65R10 05C50 05C75 31C20 60J20 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Opusc. Math. 39, No. 4, 497--541 (2019; Zbl 1443.47085) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations. (English) Zbl 1447.81147 Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2307-2348 (2019). MSC: 81S20 81S40 60H07 47L60 46N30 65R10 58J65 81S25 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Discrete Contin. Dyn. Syst., Ser. S 12, No. 8, 2307--2348 (2019; Zbl 1447.81147) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Realizations and factorizations of positive definite kernels. (English) Zbl 07120204 J. Theor. Probab. 32, No. 4, 1925-1942 (2019). MSC: 47L60 46N30 65R10 42C15 31C20 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, J. Theor. Probab. 32, No. 4, 1925--1942 (2019; Zbl 07120204) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng On reproducing kernels, and analysis of measures. (English) Zbl 07116991 Markov Process. Relat. Fields 25, No. 3, 445-482 (2019). MSC: 47L60 46N30 46N50 42C15 65R10 31C20 62D05 94A20 39A12 46N20 22E70 31A15 58J65 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Markov Process. Relat. Fields 25, No. 3, 445--482 (2019; Zbl 07116991) Full Text: arXiv
Jorgensen, Palle; Tian, Feng Reflection positivity, duality, and spectral theory. (English) Zbl 1525.47130 J. Appl. Math. Comput. 59, No. 1-2, 361-404 (2019). MSC: 47L60 46N30 81S25 81R15 81T05 81T75 60J25 65R10 58J65 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, J. Appl. Math. Comput. 59, No. 1--2, 361--404 (2019; Zbl 1525.47130) Full Text: DOI arXiv
Jorgensen, Palle; Pearse, Erin; Tian, Feng Unbounded operators in Hilbert space, duality rules, characteristic projections, and their applications. (English) Zbl 1511.47030 Anal. Math. Phys. 8, No. 3, 351-382 (2018). MSC: 47B25 46C05 81Q10 PDFBibTeX XMLCite \textit{P. Jorgensen} et al., Anal. Math. Phys. 8, No. 3, 351--382 (2018; Zbl 1511.47030) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Metric duality between positive definite kernels and boundary processes. (English) Zbl 1393.46022 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 3, 13 p. (2018). Reviewer: Brett Wick (St. Louis) MSC: 46E22 60G15 46N30 42C15 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 3, 13 p. (2018; Zbl 1393.46022) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Non-commutative analysis. (English) Zbl 1371.46003 Hackensack, NJ: World Scientific (ISBN 978-981-3202-11-5/hbk; 978-981-3202-12-2/pbk; 978-981-3202-14-6/ebook). xxviii, 533 p. (2017). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 46-02 47-02 46L05 46L53 47B25 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Non-commutative analysis. Hackensack, NJ: World Scientific (2017; Zbl 1371.46003) Full Text: DOI
Jorgensen, Palle; Tian, Feng Generalized Gramians: creating frame vectors in maximal subspaces. (English) Zbl 1384.42022 Anal. Appl., Singap. 15, No. 1, 123-135 (2017). Reviewer: Sumit Kumar Sharma (Delhi) MSC: 42C15 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Anal. Appl., Singap. 15, No. 1, 123--135 (2017; Zbl 1384.42022) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces. (English) Zbl 1393.47047 Sampl. Theory Signal Image Process. 15, 37-72 (2016). MSC: 47L60 46N30 46N50 42C15 65R10 31C20 62D05 94A20 39A12 46N20 22E70 31A15 58J65 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Sampl. Theory Signal Image Process. 15, 37--72 (2016; Zbl 1393.47047) Full Text: arXiv Link
Jorgensen, Palle; Tian, Feng Positive definite kernels and boundary spaces. (English) Zbl 1359.42004 Adv. Oper. Theory 1, No. 1, 123-133 (2016). MSC: 42A82 46E22 60G15 60G60 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Adv. Oper. Theory 1, No. 1, 123--133 (2016; Zbl 1359.42004) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions. (English) Zbl 1380.46020 Stochastic Anal. Appl. 34, No. 4, 722-747 (2016). Reviewer: I. M. Erusalimskiy (Rostov-on-Don) MSC: 46E22 05C63 05C50 47L60 46N30 65R10 58J65 81S25 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Stochastic Anal. Appl. 34, No. 4, 722--747 (2016; Zbl 1380.46020) Full Text: DOI arXiv
Jorgensen, Palle; Pedersen, Steen; Tian, Feng Extensions of positive definite functions. Applications and their harmonic analysis. (English) Zbl 1355.43001 Lecture Notes in Mathematics 2160. Cham: Springer (ISBN 978-3-319-39779-5/pbk; 978-3-319-39780-1/ebook). xxvi, 233 p. (2016). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 43-01 42-01 22-01 46-01 60-01 PDFBibTeX XMLCite \textit{P. Jorgensen} et al., Extensions of positive definite functions. Applications and their harmonic analysis. Cham: Springer (2016; Zbl 1355.43001) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Pedersen, Steen; Tian, Feng Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups. (English) Zbl 1359.43004 Christensen, Jens G. (ed.) et al., Trends in harmonic analysis and its applications. AMS special session on harmonic analysis and its applications, University of Maryland, Baltimore County, Baltimore, MD, USA, March 29–30, 2014. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1879-3/pbk; 978-1-4704-2777-1/ebook). Contemporary Mathematics 650, 157-197 (2015). Reviewer: Miyeon Kwon (Platteville) MSC: 43A35 43A70 43A65 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., Contemp. Math. 650, 157--197 (2015; Zbl 1359.43004) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Tian, Feng Unbounded operators, Lie algebras, and local representations. (English) Zbl 1334.47071 Alpay, Daniel (ed.), Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer (ISBN 978-3-0348-0666-4/print; 978-3-0348-0667-1/ebook; 978-3-0348-0668-8/print+ebook; 978-3-0348-0692-3/online (updated continuously)). Springer Reference, 1221-1243 (2015). Reviewer: Piotr Niemiec (Kraków) MSC: 47L60 22D10 17B15 22E66 47-02 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{F. Tian}, in: Operator theory. With 51 figures and 2 tables. In 2 volumes. Basel: Springer. 1221--1243 (2015; Zbl 1334.47071) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Frames and factorization of graph Laplacians. (English) Zbl 1359.47055 Opusc. Math. 35, No. 3, 293-332 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 47L60 46N30 46N50 42C15 05C50 05C75 31C20 31A15 58J65 81S25 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, Opusc. Math. 35, No. 3, 293--332 (2015; Zbl 1359.47055) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Induced representations arising from a character with finite orbit in a semidirect product. (English) Zbl 1328.47077 New York J. Math. 21, 783-800 (2015). MSC: 47L60 46N30 46N50 42C15 65R10 05C50 05C75 31C20 46N20 22E70 31A15 58J65 81S25 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, New York J. Math. 21, 783--800 (2015; Zbl 1328.47077) Full Text: arXiv EMIS
Jorgensen, Palle; Pedersen, Steen; Tian, Feng Spectral theory of multiple intervals. (English) Zbl 1304.47082 Trans. Am. Math. Soc. 367, No. 3, 1671-1735 (2015). MSC: 47L60 47A25 47B25 35F15 42C10 34L25 35Q40 81Q35 81U35 46L45 46F12 PDFBibTeX XMLCite \textit{P. Jorgensen} et al., Trans. Am. Math. Soc. 367, No. 3, 1671--1735 (2015; Zbl 1304.47082) Full Text: DOI arXiv
Jorgensen, Palle; Pedersen, Steen; Tian, Feng Restrictions and extensions of semibounded operators. (English) Zbl 1327.47017 Complex Anal. Oper. Theory 8, No. 3, 591-663 (2014). Reviewer: Vladimir A. Derkach (Donetsk) MSC: 47B25 47A20 46E22 47B32 30H10 35F15 42C10 PDFBibTeX XMLCite \textit{P. Jorgensen} et al., Complex Anal. Oper. Theory 8, No. 3, 591--663 (2014; Zbl 1327.47017) Full Text: DOI arXiv
Jorgensen, Palle; Tian, Feng Von Neumann indices and classes of positive definite functions. (English) Zbl 1316.43002 J. Math. Phys. 55, No. 9, 093502, 50 p. (2014). Reviewer: Jin Liang (Shanghai) MSC: 43A35 46E22 47B32 47A20 PDFBibTeX XMLCite \textit{P. Jorgensen} and \textit{F. Tian}, J. Math. Phys. 55, No. 9, 093502, 50 p. (2014; Zbl 1316.43002) Full Text: DOI arXiv