Alpay, Daniel; Jorgensen, Palle Transfer operators and conditional expectations: the non-commutative case, the case of mu-Brownian motions and white noise space setting. (English) Zbl 07795636 Banach J. Math. Anal. 18, No. 1, Paper No. 5, 24 p. (2024). MSC: 28A50 60J65 46L53 PDFBibTeX XMLCite \textit{D. Alpay} and \textit{P. Jorgensen}, Banach J. Math. Anal. 18, No. 1, Paper No. 5, 24 p. (2024; Zbl 07795636) Full Text: DOI
Golmankhaneh, Alireza Khalili; Jørgensen, Palle E. T.; Schlichtinger, Agnieszka Matylda Einstein field equations extended to fractal manifolds: a fractal perspective. (English) Zbl 07787760 J. Geom. Phys. 196, Article ID 105081, 14 p. (2024). MSC: 28A80 35Q76 58D17 32C05 PDFBibTeX XMLCite \textit{A. K. Golmankhaneh} et al., J. Geom. Phys. 196, Article ID 105081, 14 p. (2024; Zbl 07787760) Full Text: DOI
Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. Fourier series for fractals in two dimensions. (English) Zbl 07820671 Ruiz, Patricia Alonso (ed.) et al., From classical analysis to analysis on fractals. A tribute to Robert Strichartz. Volume 1. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 183-229 (2023). MSC: 42C10 28A80 42C05 PDFBibTeX XMLCite \textit{J. E. Herr} et al., in: From classical analysis to analysis on fractals. A tribute to Robert Strichartz. Volume 1. Cham: Birkhäuser. 183--229 (2023; Zbl 07820671) Full Text: DOI
Khalili Golmankhaneh, Alireza; Welch, Kerri; Serpa, Cristina; Jørgensen, Palle E. T. Non-standard analysis for fractal calculus. (English) Zbl 07808296 J. Anal. 31, No. 3, 1895-1916 (2023). MSC: 28A80 34E18 26E35 PDFBibTeX XMLCite \textit{A. Khalili Golmankhaneh} et al., J. Anal. 31, No. 3, 1895--1916 (2023; Zbl 07808296) Full Text: DOI
Jorgensen, Palle E. T. Early influences, the Fuglede question, spectrum vs tiling, and connection to related work by John von Neumann, Irving Segal, Marshall Stone, and David Shale. (English) Zbl 07772939 Sampl. Theory Signal Process. Data Anal. 21, No. 2, Paper No. 33, 11 p. (2023). MSC: 28D10 34B08 35A22 35S15 42C05 46L87 47F05 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen}, Sampl. Theory Signal Process. Data Anal. 21, No. 2, Paper No. 33, 11 p. (2023; Zbl 07772939) Full Text: DOI
Jorgensen, Palle E. T.; Song, Myung-Sin Mathematics of multilevel systems. Data, scaling, images, signals, and fractals. (English) Zbl 07707280 Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes 8. Singapore: World Scientific (ISBN 978-981-12-6897-7/hbk; 978-981-12-6901-1/ebook). (2023). MSC: 42-01 42C40 94A12 28A80 PDFBibTeX XML Full Text: DOI
Jorgensen, Palle E. T.; Tian, James Stochastics and dynamics of fractals. (English) Zbl 1515.28013 Alpay, Daniel (ed.) et al., Recent developments in operator theory, mathematical physics and complex analysis. Proceedings of the 32th international workshop on operator theory and its applications, IWOTA 2021, Chapman University, Orange, CA, USA, August 9–13, 2022. Cham: Springer. Oper. Theory: Adv. Appl. 290, 171-216 (2023). MSC: 28A80 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{J. Tian}, Oper. Theory: Adv. Appl. 290, 171--216 (2023; Zbl 1515.28013) Full Text: DOI
Alpay, Daniel; Jorgensen, Palle; Porat, Motke White noise space analysis and multiplicative change of measures. (English) Zbl 1507.60044 J. Math. Phys. 63, No. 4, Article ID 042102, 23 p. (2022). MSC: 60G15 60H40 28C20 46E22 60H05 PDFBibTeX XMLCite \textit{D. Alpay} et al., J. Math. Phys. 63, No. 4, Article ID 042102, 23 p. (2022; Zbl 1507.60044) Full Text: DOI arXiv
Bezuglyi, Sergey; Jorgensen, Palle E. T. Harmonic analysis on graphs via Bratteli diagrams and path-space measures. (English) Zbl 1493.37016 Diss. Math. 574, 1-74 (2022). Reviewer: Anatoliy Swishchuk (Calgary) MSC: 37B10 37A46 37H10 42B37 47L50 60J45 28D05 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Diss. Math. 574, 1--74 (2022; Zbl 1493.37016) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Tian, Feng Spectral pairs and positive-definite-tempered distributions. (English) Zbl 1453.42031 Ruiz, Patricia Alonso (ed.) et al., Analysis, probability and mathematical physics on fractals. Based on the presentations at the 6th conference, Cornell University, Ithaca, NY, USA, June 2017. Hackensack, NJ: World Scientific. Fractals Dyn. Math. Sci. Arts, Theory Appl. 5, 223-241 (2020). MSC: 42C15 42C05 28A25 46C05 47L60 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{F. Tian}, Fractals Dyn. Math. Sci. Arts, Theory Appl. 5, 223--241 (2020; Zbl 1453.42031) Full Text: DOI arXiv
Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. Harmonic analysis of fractal measures: basis and frame algorithms for fractal \(L^2\)-spaces, and boundary representations as closed subspaces of the Hardy space. (English) Zbl 1453.42029 Ruiz, Patricia Alonso (ed.) et al., Analysis, probability and mathematical physics on fractals. Based on the presentations at the 6th conference, Cornell University, Ithaca, NY, USA, June 2017. Hackensack, NJ: World Scientific. Fractals Dyn. Math. Sci. Arts, Theory Appl. 5, 163-221 (2020). MSC: 42C15 28A80 28A05 60B10 41A65 60H25 PDFBibTeX XMLCite \textit{J. E. Herr} et al., Fractals Dyn. Math. Sci. Arts, Theory Appl. 5, 163--221 (2020; Zbl 1453.42029) Full Text: DOI
Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. A characterization of boundary representations of positive matrices in the Hardy space via the Abel product. (English) Zbl 1429.46019 Linear Algebra Appl. 576, 51-66 (2019). MSC: 46E22 30B30 42B05 28A25 47B65 15B48 PDFBibTeX XMLCite \textit{J. E. Herr} et al., Linear Algebra Appl. 576, 51--66 (2019; Zbl 1429.46019) Full Text: DOI arXiv
Jorgensen, Palle E. T. Harmonic analysis: smooth and non-smooth. (English) Zbl 1432.42023 CBMS Regional Conference Series in Mathematics 128. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4880-6/pbk; 978-1-4704-4978-0/ebook). xi, 266 p. (2018). Reviewer: K. Parthasarathy (Chennai) MSC: 42C15 28A80 42C40 42C05 42B37 43A80 28-02 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen}, Harmonic analysis: smooth and non-smooth. Providence, RI: American Mathematical Society (AMS) (2018; Zbl 1432.42023) Full Text: DOI
Jorgensen, Palle E. T.; Song, Myung-Sin Markov chains and generalized wavelet multiresolutions. (English) Zbl 1402.60094 J. Anal. 26, No. 2, 259-283 (2018). MSC: 60J20 42C40 42C10 28A80 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{M.-S. Song}, J. Anal. 26, No. 2, 259--283 (2018; Zbl 1402.60094) Full Text: DOI Link
Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. A matrix characterization of boundary representations of positive matrices in the Hardy space. (English) Zbl 1407.46021 Kim, Yeonhyang (ed.) et al., Frames and harmonic analysis. AMS special session on frames, wavelets and Gabor systems and special session on frames, harmonic analysis, and operator theory, North Dakota State University, Fargo, ND, USA, April 16–17, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 706, 255-270 (2018). MSC: 46E22 30B30 42B05 28A25 46E20 PDFBibTeX XMLCite \textit{J. E. Herr} et al., Contemp. Math. 706, 255--270 (2018; Zbl 1407.46021) 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
Bezuglyi, Sergey; Jorgensen, Palle E. T. Transfer operators, endomorphisms, and measurable partitions. (English) Zbl 1416.37002 Lecture Notes in Mathematics 2217. Cham: Springer (ISBN 978-3-319-92416-8/pbk; 978-3-319-92417-5/ebook). x, 160 p. (2018). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 37-02 28-02 37B10 37A05 37A30 37C30 47B65 28D05 PDFBibTeX XMLCite \textit{S. Bezuglyi} and \textit{P. E. T. Jorgensen}, Transfer operators, endomorphisms, and measurable partitions. Cham: Springer (2018; Zbl 1416.37002) Full Text: DOI
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.; Kornelson, Keri A.; Shuman, Karen L. Additive spectra of the \(\frac 14\) Cantor measure. (English) Zbl 1307.42002 Furst, Veronika (ed.) et al., Operator methods in wavelets, tilings, and frames. AMS special session on harmonic analysis of frames, wavelets, and tilings, Boulder, CO, USA, April 13–14, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1040-7/pbk; 978-1-4704-1957-8/ebook). Contemporary Mathematics 626, 121-128 (2014). MSC: 42A16 28A80 28C10 47A10 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., Contemp. Math. 626, 121--128 (2014; Zbl 1307.42002) Full Text: arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Isospectral measures. (English) Zbl 1305.28020 Rocky Mt. J. Math. 43, No. 5, 1497-1512 (2013). Reviewer: Stéphane Seuret (Créteil) MSC: 28A80 37B50 42C10 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Rocky Mt. J. Math. 43, No. 5, 1497--1512 (2013; Zbl 1305.28020) Full Text: DOI arXiv Euclid
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Spectral measures and Cuntz algebras. (English) Zbl 1282.28006 Math. Comput. 81, No. 280, 2275-2301 (2012). Reviewer: Tony Samuel (Bremen) MSC: 28A80 42B05 46C05 46L89 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Math. Comput. 81, No. 280, 2275--2301 (2012; Zbl 1282.28006) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Fourier duality for fractal measures with affine scales. (English) Zbl 1277.47033 Math. Comput. 81, No. 280, 2253-2273 (2012). Reviewer: E. Ahmed (Mansoura) MSC: 47B32 42B05 28A35 26A33 62L20 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Math. Comput. 81, No. 280, 2253--2273 (2012; Zbl 1277.47033) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. An operator-fractal. (English) Zbl 1310.28007 Numer. Funct. Anal. Optim. 33, No. 7-9, 1070-1094 (2012). MSC: 28A80 42A16 47B38 42C40 47L30 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., Numer. Funct. Anal. Optim. 33, No. 7--9, 1070--1094 (2012; Zbl 1310.28007) Full Text: DOI arXiv
Casazza, P. G. (ed.); Jorgensen, Palle E. T. (ed.); Kornelson, Keri A. (ed.); Kutyniok, Gitta (ed.); Larson, David R. (ed.); Massopust, Peter (ed.); Ólafsson, Gestur (ed.); Packer, Judith A. (ed.); Silvestrov, Sergei D. (ed.); Sun, Qiyu (ed.) Special issue on operator algebras and representation theory: frames, wavelets, and fractals. Selected papers based on the presentations at the Banff workshop, Banff, Canada, fall, 2010, and the Oberwolfach conference, Oberwolfach, Germany, spring, 2011. (English) Zbl 1282.47002 Numer. Funct. Anal. Optim. 33, No. 7-9, 705-1193 (2012). MSC: 47-06 47L10 65T60 28A80 00B25 PDFBibTeX XML
Jorgensen, Palle E. T. Ergodic scales in fractal measures. (English) Zbl 1246.42002 Math. Comput. 81, No. 278, 941-955 (2012). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 42A15 28A80 43A10 47A35 60G10 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen}, Math. Comput. 81, No. 278, 941--955 (2012; Zbl 1246.42002) Full Text: DOI
Dutkay, Dorin Ervin; Jorgensen, Palle E. T.; Silvestrov, Sergei Decomposition of wavelet representations and Martin boundaries. (English) Zbl 1242.28025 J. Funct. Anal. 262, No. 3, 1043-1061 (2012). MSC: 28D05 42C40 47A67 28A80 PDFBibTeX XMLCite \textit{D. E. Dutkay} et al., J. Funct. Anal. 262, No. 3, 1043--1061 (2012; Zbl 1242.28025) Full Text: DOI arXiv
Jorgensen, Palle E. T. (ed.); Kutyniok, Gitta (ed.); Olafsson, Gestur (ed.); Silvestrov, Sergei (ed.) Operator algebras and representation theory: frames, wavelets and fractals. Abstracts from the workshop held March 27th-April 2nd, 2011. (English) Zbl 1242.00049 Oberwolfach Rep. 8, No. 1, 901-978 (2011). MSC: 00B05 42-06 28-06 46-06 28A80 42C15 42C40 46B09 46L60 65T60 94A11 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} (ed.) et al., Oberwolfach Rep. 8, No. 1, 901--978 (2011; Zbl 1242.00049) Full Text: DOI
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Affine fractals as boundaries and their harmonic analysis. (English) Zbl 1230.47045 Proc. Am. Math. Soc. 139, No. 9, 3291-3305 (2011). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 47B32 42B05 28A35 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Proc. Am. Math. Soc. 139, No. 9, 3291--3305 (2011; Zbl 1230.47045) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. Families of spectral sets for Bernoulli convolutions. (English) Zbl 1235.28008 J. Fourier Anal. Appl. 17, No. 3, 431-456 (2011). Reviewer: Wlodzimierz Ślȩzak (Bydgoszcz) MSC: 28A80 42A16 42C25 46E30 42B05 28D05 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., J. Fourier Anal. Appl. 17, No. 3, 431--456 (2011; Zbl 1235.28008) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Song, Myung-Sin Analysis of fractals, image compression, entropy encoding, Karhunen-Loève transforms. (English) Zbl 1247.42041 Acta Appl. Math. 108, No. 3, 489-508 (2009). Reviewer: Thomas B. Ward (Durham) MSC: 42C40 28A80 94A29 68P30 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} and \textit{M.-S. Song}, Acta Appl. Math. 108, No. 3, 489--508 (2009; Zbl 1247.42041) Full Text: DOI
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Duality questions for operators, spectrum and measures. (English) Zbl 1229.28012 Acta Appl. Math. 108, No. 3, 515-528 (2009). Reviewer: Peter Massopust (München) MSC: 28A80 37B50 42C10 47A75 46G12 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Acta Appl. Math. 108, No. 3, 515--528 (2009; Zbl 1229.28012) Full Text: DOI arXiv Link
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Probability and Fourier duality for affine iterated function systems. (English) Zbl 1177.28036 Acta Appl. Math. 107, No. 1-3, 293-311 (2009). MSC: 28C15 30C40 37A60 42B35 42C05 46A32 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Acta Appl. Math. 107, No. 1--3, 293--311 (2009; Zbl 1177.28036) Full Text: DOI arXiv
Cho, Ilwoo; Jorgensen, Palle E. T. Applications of automata and graphs: Labeling-operators in Hilbert space. I. (English) Zbl 1226.05183 Acta Appl. Math. 107, No. 1-3, 237-291 (2009). MSC: 05C62 05C90 17A50 18B40 28A80 37B10 37B15 46K10 47A67 47A99 47B99 68Q45 94A12 PDFBibTeX XMLCite \textit{I. Cho} and \textit{P. E. T. Jorgensen}, Acta Appl. Math. 107, No. 1--3, 237--291 (2009; Zbl 1226.05183) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Quasiperiodic spectra and orthogonality for iterated function system measures. (English) Zbl 1163.65101 Math. Z. 261, No. 2, 373-397 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65T40 65F10 42C15 42A55 42C05 46E22 28A80 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Math. Z. 261, No. 2, 373--397 (2009; Zbl 1163.65101) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Fourier series on fractals: a parallel with wavelet theory. (English) Zbl 1256.42048 Ólafsson, Gestur (ed.) et al., Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4327-7/pbk). Contemporary Mathematics 464, 75-101 (2008). MSC: 42C40 28A80 22D10 46C07 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Contemp. Math. 464, 75--101 (2008; Zbl 1256.42048) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Kornelson, Keri; Shuman, Karen Orthogonal exponentials for Bernoulli iterated function systems. (English) Zbl 1258.42025 Jorgensen, Palle E.T. (ed.) et al., Representations, wavelets, and frames. A celebration of the mathematical work of Lawrence W. Baggett. Basel: Birkhäuser (ISBN 978-0-8176-4682-0/hbk). Applied and Numerical Harmonic Analysis, 217-237 (2008). MSC: 42C05 60G50 28A80 37A05 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., in: Representations, wavelets, and frames. A celebration of the mathematical work of Lawrence W. Baggett. Basel: Birkhäuser. 217--237 (2008; Zbl 1258.42025) Full Text: DOI arXiv
Jorgensen, Palle E. T.; Kornelson, Keri; Shuman, Karen Harmonic analysis of iterated function systems with overlap. (English) Zbl 1152.81497 J. Math. Phys. 48, No. 8, 083511, 35 p. (2007). MSC: 28A80 28C99 37B10 42C40 46L99 47A13 81P68 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., J. Math. Phys. 48, No. 8, 083511, 35 p. (2007; Zbl 1152.81497) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Harmonic analysis and dynamics for affine iterated function systems. (English) Zbl 1214.42009 Houston J. Math. 33, No. 3, 877-905 (2007). MSC: 42A85 42C25 26A30 28A80 60G42 47B80 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Houston J. Math. 33, No. 3, 877--905 (2007; Zbl 1214.42009) Full Text: arXiv
Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. Affine systems: asymptotics at infinity for fractal measures. (English) Zbl 1149.28004 Acta Appl. Math. 98, No. 3, 181-222 (2007). Reviewer: Magdalena Hyksova (Praha) MSC: 28A80 28A35 11K55 42A55 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen} et al., Acta Appl. Math. 98, No. 3, 181--222 (2007; Zbl 1149.28004) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Fourier frequencies in affine iterated function systems. (English) Zbl 1128.42013 J. Funct. Anal. 247, No. 1, 110-137 (2007). Reviewer: Su Weiyi (Nanjing) MSC: 42C15 37F99 28A80 43A15 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, J. Funct. Anal. 247, No. 1, 110--137 (2007; Zbl 1128.42013) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Analysis of orthogonality and of orbits in affine iterated function systems. (English) Zbl 1129.28006 Math. Z. 256, No. 4, 801-823 (2007). Reviewer: Mourad Ben Slimane (Tunis) MSC: 28A80 42B05 60G42 46C99 37B25 47A10 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Math. Z. 256, No. 4, 801--823 (2007; Zbl 1129.28006) Full Text: DOI arXiv
Dutkay, Dorin Ervin; Jorgensen, Palle E. T. Disintegration of projective measures. (English) Zbl 1136.28002 Proc. Am. Math. Soc. 135, No. 1, 169-179 (2007). MSC: 28A50 42C40 PDFBibTeX XMLCite \textit{D. E. Dutkay} and \textit{P. E. T. Jorgensen}, Proc. Am. Math. Soc. 135, No. 1, 169--179 (2007; Zbl 1136.28002) 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
Jorgensen, Palle E. T. Use of operator algebras in the analysis of measures from wavelets and iterated function systems. (English) Zbl 1125.28010 Han, Deguang (ed.) et al., Operator theory, operator algebras, and applications. Proceedings of the 25th Great Plains Operator Theory Symposium, University of Central Florida, FL, USA, June 7–12, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3923-3/pbk). Contemporary Mathematics 414, 13-26 (2006). Reviewer: Magdalena Hyksova (Praha) MSC: 28A80 42C40 46L05 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen}, Contemp. Math. 414, 13--26 (2006; Zbl 1125.28010) Full Text: 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
Jorgensen, Palle E. T. Iterated function systems, representations, and Hilbert space. (English) Zbl 1060.28006 Int. J. Math. 15, No. 8, 813-832 (2004). MSC: 28A80 42C40 46L05 37C40 PDFBibTeX XMLCite \textit{P. E. T. Jorgensen}, Int. J. Math. 15, No. 8, 813--832 (2004; Zbl 1060.28006) Full Text: DOI arXiv
Jørgensen, Palle E. T.; Pedersen, Steen Dense analytic subspaces in fractal \(L^2\)-spaces. (English) Zbl 0959.28008 J. Anal. Math. 75, 185-228 (1998). MSC: 28A80 46E30 28A78 42C40 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{S. Pedersen}, J. Anal. Math. 75, 185--228 (1998; Zbl 0959.28008) Full Text: DOI arXiv Backlinks: MO
Jørgensen, Palle E. T.; Pedersen, Steen Orthogonal harmonic analysis and scaling of fractal measures. (English. Abridged French version) Zbl 0912.28008 C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 3, 301-306 (1998). Reviewer: Yimin Xiao (Salt Lake City) MSC: 28A80 42B10 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{S. Pedersen}, C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 3, 301--306 (1998; Zbl 0912.28008) Full Text: DOI arXiv
Jørgensen, Palle E. T.; Pedersen, Steen Orthogonal harmonic analysis of fractal measures. (English) Zbl 0893.28005 Electron. Res. Announc. Am. Math. Soc. 4, No. 6, 35-42 (1998). MSC: 28A75 42B10 46L55 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{S. Pedersen}, Electron. Res. Announc. Am. Math. Soc. 4, No. 6, 35--42 (1998; Zbl 0893.28005) Full Text: DOI EuDML
Jørgensen, Palle E. T.; Pedersen, Steen Harmonic analysis of fractal measures. (English) Zbl 0855.28003 Constructive Approximation 12, No. 1, 1-30 (1996). Reviewer: H.Haase (Greifswald) MSC: 28A80 28A75 42B10 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{S. Pedersen}, Constr. Approx. 12, No. 1, 1--30 (1996; Zbl 0855.28003) Full Text: DOI arXiv
Jørgensen, Palle E. T.; Pedersen, Steen Estimates on the spectrum of fractals arising from affine iterations. (English) Zbl 0853.28004 Bandt, Christoph (ed.) et al., Fractal geometry and stochastics. Proceedings of a conference on fractal geometry and stochastics held at Finsterbergen, Germany, June 12-18, 1994. Basel: Birkhäuser. Prog. Probab. 37, 191-219 (1995). Reviewer: W.Jarczyk (Zielona Góra) MSC: 28A80 42B10 46L55 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{S. Pedersen}, Prog. Probab. 37, 191--219 (1995; Zbl 0853.28004) Full Text: arXiv
Jørgensen, Palle E. T.; Pedersen, Steen Harmonic analysis and fractal limit-measures induced by representations of a certain \(C^*\)-algebra. (English) Zbl 0829.43022 J. Funct. Anal. 125, No. 1, 90-110 (1994). Reviewer: Diep Do Ngoc (Hanoi) MSC: 43A99 46L51 46L53 46L54 28A80 28A75 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{S. Pedersen}, J. Funct. Anal. 125, No. 1, 90--110 (1994; Zbl 0829.43022) Full Text: DOI
Jørgensen, Palle E. T.; Pedersen, Steen Harmonic analysis of fractal measures induced by representations of a certain \(C^*\)-algebra. (English) Zbl 0785.28005 Bull. Am. Math. Soc., New Ser. 29, No. 2, 228-234 (1993). Reviewer: H.Haase (Greifswald) MSC: 28A80 28A75 42B10 46L55 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen} and \textit{S. Pedersen}, Bull. Am. Math. Soc., New Ser. 29, No. 2, 228--234 (1993; Zbl 0785.28005) Full Text: DOI arXiv
Jørgensen, Palle E. T. Existence of smooth solutions to the classical moment problems. (English) Zbl 0765.46030 Trans. Am. Math. Soc. 332, No. 2, 839-848 (1992). Reviewer: H.Junek (Potsdam) MSC: 46H15 46K10 42A70 42A05 28C10 42A82 43A35 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, Trans. Am. Math. Soc. 332, No. 2, 839--848 (1992; Zbl 0765.46030) Full Text: DOI
Jørgensen, Palle E. T. Compact symmetry groups and generators for sub-Markovian semigroups. (English) Zbl 0488.58023 Z. Wahrscheinlichkeitstheor. Verw. Geb. 63, 17-27 (1983). MSC: 58J65 47D07 60J35 47D03 60J45 46L60 60J65 28D10 47A10 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 63, 17--27 (1983; Zbl 0488.58023) Full Text: DOI
Jørgensen, Palle E. T. Compact symmetry groups and generators for sub-Markovian semigroups. (English) Zbl 0471.58028 Prepr. Ser., Aarhus Univ. 1980/81, No. 41, 21 p. (1981). MSC: 58J65 47D07 60J45 28D10 46L60 PDFBibTeX XML
Jørgensen, Palle E. T. Commutators of Hamiltonian operators and non-Abelian algebras. (English) Zbl 0429.46042 J. Math. Anal. Appl. 73, 115-133 (1980). MSC: 46L55 46L51 46L53 46L54 28D10 81V70 81S99 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, J. Math. Anal. Appl. 73, 115--133 (1980; Zbl 0429.46042) Full Text: DOI
Jørgensen, Palle E. T. Trace states and KMS states for approximately inner dynamical one- parameter groups of \(^*\)-automorphisms. (English) Zbl 0347.46062 Commun. Math. Phys. 53, 135-142 (1977). MSC: 46L05 28D05 46N99 PDFBibTeX XMLCite \textit{P. E. T. Jørgensen}, Commun. Math. Phys. 53, 135--142 (1977; Zbl 0347.46062) Full Text: DOI