Bezuglyi, Sergey; Jorgensen, Palle E. T. Harmonic analysis invariants for infinite graphs via operators and algorithms. (English) Zbl 1462.05261 J. Fourier Anal. Appl. 27, No. 2, Paper No. 34, 46 p. (2021). MSC: 05C63 05C82 37B10 41A63 42B37 47L50 60J45 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, J. Fourier Anal. Appl. 27, No. 2, Paper No. 34, 46 p. (2021; Zbl 1462.05261) Full Text: DOI arXiv
Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith Monic representations of finite higher-rank graphs. (English) Zbl 1453.46050 Ergodic Theory Dyn. Syst. 40, No. 5, 1238-1267 (2020). MSC: 46L05 46L55 46K10 PDFBibTeX XMLCite \textit{C. Farsi} et al., Ergodic Theory Dyn. Syst. 40, No. 5, 1238--1267 (2020; Zbl 1453.46050) Full Text: DOI arXiv
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 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 E. T.; Pearse, Erin P. J. Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces. (English) Zbl 1397.05176 J. Math. Anal. Appl. 469, No. 2, 765-807 (2019). MSC: 05C82 60J10 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, J. Math. Anal. Appl. 469, No. 2, 765--807 (2019; Zbl 1397.05176) Full Text: DOI
Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith Purely atomic representations of higher-rank graph \(C^*\)-algebras. (English) Zbl 1406.46031 Integral Equations Oper. Theory 90, No. 6, Paper No. 67, 26 p. (2018). MSC: 46L05 46K10 PDFBibTeX XMLCite \textit{C. Farsi} et al., Integral Equations Oper. Theory 90, No. 6, Paper No. 67, 26 p. (2018; Zbl 1406.46031) Full Text: DOI arXiv
Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith Representations of higher-rank graph \(C^\ast\)-algebras associated to {\(\Lambda\)}-semibranching function systems. (English) Zbl 1405.46037 J. Math. Anal. Appl. 468, No. 2, 766-798 (2018). MSC: 46L05 PDFBibTeX XMLCite \textit{C. Farsi} et al., J. Math. Anal. Appl. 468, No. 2, 766--798 (2018; Zbl 1405.46037) 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 E. T.; Song, Myung-Sin Infinite-dimensional measure spaces and frame analysis. (English) Zbl 1405.60006 Acta Appl. Math. 155, No. 1, 41-56 (2018). MSC: 60B11 42C15 28C20 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{M.-S. Song}, Acta Appl. Math. 155, No. 1, 41--56 (2018; Zbl 1405.60006) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Pearse, Erin P. J. Symmetric pairs of unbounded operators in Hilbert space, and their applications in mathematical physics. (English) Zbl 1424.47055 Math. Phys. Anal. Geom. 20, No. 2, Paper No. 14, 24 p. (2017). MSC: 47B25 46L36 47B15 47B32 60H07 05C50 05C63 35J05 46E22 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, Math. Phys. Anal. Geom. 20, No. 2, Paper No. 14, 24 p. (2017; Zbl 1424.47055) Full Text: DOI arXiv
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 E. T.; Pearse, Erin P. J. Symmetric pairs and self-adjoint extensions of operators, with applications to energy networks. (English) Zbl 1353.05080 Complex Anal. Oper. Theory 10, No. 7, 1535-1550 (2016). MSC: 05C50 05C63 05C82 46B22 46E22 47B15 47B25 47B32 47B39 60J10 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, Complex Anal. Oper. Theory 10, No. 7, 1535--1550 (2016; Zbl 1353.05080) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Spectra of measures and wandering vectors. (English) Zbl 1316.42008 Proc. Am. Math. Soc. 143, No. 6, 2403-2410 (2015). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42A32 05B45 43A25 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Proc. Am. Math. Soc. 143, No. 6, 2403--2410 (2015; Zbl 1316.42008) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. The role of transfer operators and shifts in the study of fractals: encoding-models, analysis and geometry, commutative and non-commutative. (English) Zbl 1318.28022 Feng, De-Jun (ed.) et al., Geometry and analysis of fractals. Based on the international conference on advances of fractals and related topics, Hong Kong, China, December 10–14, 2012. Berlin: Springer (ISBN 978-3-662-43919-7/hbk; 978-3-662-43920-3/ebook). Springer Proceedings in Mathematics & Statistics 88, 65-95 (2014). MSC: 28A80 37A30 37C30 37C85 42C40 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Springer Proc. Math. Stat. 88, 65--95 (2014; Zbl 1318.28022) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Pearse, Erin P. J. Spectral reciprocity and matrix representations of unbounded operators. (English) Zbl 1257.47025 J. Funct. Anal. 261, No. 3, 749-776 (2011). MSC: 47B25 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{E. P. J. Pearse}, J. Funct. Anal. 261, No. 3, 749--776 (2011; Zbl 1257.47025) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Iterated function systems, Ruelle operators, and invariant projective measures. (English) Zbl 1117.28008 Math. Comput. 75, No. 256, 1931-1970 (2006). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 28A80 37C45 11K55 28C99 31C20 37F20 39B12 41A63 42C40 47D07 60G42 60J45 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Math. Comput. 75, No. 256, 1931--1970 (2006; Zbl 1117.28008) Full Text: DOI arXiv
Dutkay, Dorin E.; Jorgensen, Palle E. T. Wavelets on fractals. (English) Zbl 1104.42021 Rev. Mat. Iberoam. 22, No. 1, 131-180 (2006). MSC: 42C40 42C30 93E11 28A80 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Rev. Mat. Iberoam. 22, No. 1, 131--180 (2006; Zbl 1104.42021) Full Text: DOI arXiv EuDML
Dutkay, Dorin Ervin; Jørgensen, Palle E. T. Wavelet constructions in non-linear dynamics. (English) Zbl 1069.42021 Electron. Res. Announc. Am. Math. Soc. 11, 21-33 (2005). MSC: 42C40 28A80 37F50 42B35 60G18 60G46 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jørgensen}, Electron. Res. Announc. Am. Math. Soc. 11, 21--33 (2005; Zbl 1069.42021) Full Text: DOI arXiv EuDML EMIS