The University of Iowa, USA

Email: jorgen@math.uiowa.edu

Qualifications

1973 Ph.D., University of Aarhus, Denmark

Publications (Selected)

1. Analysis and Probability: Wavelets, Signals, Fractals, under contract for publication in the Graduate Texts in Mathematics series, vol. 234, Springer-Verlag, New York, 2006, approx. 320 p., 42 illus., hard­cover, ISBN 0-387-29519-4.
2. (with L.W. Baggett, K.D. Merrill, and J.A. Packer) A non-MRA C ^r -frame wavelet with rapid decay, Acta Appl. Math. 89 (2006), 251–270. http://arxiv.org/abs/math.CA/0504394
3. (with D.E. Dutkay) Hilbert spaces built on a similarity and on dynamical renormalization, J. Math. Phys. 47 (2006), no. 5, 20 pp. http://arxiv.org/abs/math.DS/0503343
4. (with D.E. Dutkay) Methods from multiscale theory and wavelets applied to non-linear dynamics, Wavelets, Multiscale Systems and Hypercomplex Analysis (D. Alpay, ed.), Oper. Theory Adv. Appl., vol. 167, Birkh¨auser, Boston, 2006, pp. 87–126. http://arxiv.org/abs/math.DS/0411371.
5. (with D.E. Dutkay) Wavelet constructions in non-linear dynamics (T_EX manuscript, 13 pages), Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 21–33.
6. (with D.E. Dutkay) Iterated function systems, Ruelle operators, and invariant projective measures (T_EX manuscript, 36 pages), Math. Comp., to appear (accepted July 2005, publication expected 2006). http://arxiv.org/abs/math.DS/0501077
7. (with D.E. Dutkay) Disintegration of projective measures (T_EX manuscript, 8 pages), Proc. Amer. Math. Soc., to appear. http://arxiv.org/abs/math.CA/0408151
8. (with D.E. Dutkay) Hilbert spaces of martingales supporting certain substitution-dynamical systems, Conform. Geom. Dyn. 9 (2005), 24–45.
9. (with D.E. Dutkay) Martingales, endomorphisms, and covariant systems of operators in Hilbert space (T_EX manuscript, 44 pages), J. Operator Theory, to appear (accepted November 2005, publication expected 2007). http://arXiv.org/abs/math.CA/0407330
10. Duality principles in analysis, Wavelets and frames (Oberwolfach mini-workshop, Feb. 15–21, 2004), Report no. 10/1004, Mathematisches Forschungsinstitut Oberwolfach, Germany, 2004, pp. 509–510.
11. Certain representations of the Cuntz relations, and a question on wavelets decompositions (T_EX man­uscript, 24 pages), accepted for Operator Theory, Operator Algebras, and Applications (Deguang Han, Palle Jorgensen, and David R. Larson, eds.), Contemp. Math., American Mathematical Society, Prov­idence, to appear 2006. http://arXiv.org/abs/math.CA/0405372.
12. Iterated function systems, representations, and Hilbert space, Internat. J. Math. 15 (2004), 813–832.
13. Measures in wavelet decompositions, Adv. Appl. Math. 23 (2005), 561-590.
14. (with D.P. Proskurin and Yu. S. Samo˘ılenko) On C^*-algebras generated by pairs of q-commuting isome­tries, J. Phys. A: Math. Gen. 38 (2005), 2669–2680.
15. Use of operator algebras in the analysis of measures from wavelets and iterated function systems (T_EX manuscript, 14 pages), accepted for Operator Theory, Operator Algebras, and Applications (Deguang Han, Palle Jorgensen, and David R. Larson, eds.), Contemp. Math., American Mathematical Society, Providence, to appear 2006.http://arxiv.org/abs/math.CA/0312212
16. (with L.W. Baggett, K.D. Merrill, and J.A. Packer) Construction of Parseval wavelets from redundant filter systems, J. Math. Phys. 46 (2005), no. 8, 19 pp. doi:10.1063/1.1982768.
17. (with L.W. Baggett, K.D. Merrill, and J.A. Packer) An analogue of Bratteli-Jorgensen loop group actions for GMRA’s, Wavelets, Frames, and Operator Theory (Focused Research Group Workshop, College Park, Maryland, January 15–21, 2003) (C. Heil, P.E.T. Jorgensen, and D. Larson, eds.), Con-temp. Math., vol. 345, American Mathematical Society, Providence, RI, 2004, pp. 11–25. http://arxiv.org/abs/math.OA/0308131.
18. (with D.E. Dutkay) Wavelets on fractals, Rev. Mat. Iberoamericana 22 (2006), 131–180.

Profile Details

http://www.math.uiowa.edu/~jorgen/