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Prof. Palle Jorgensen

The University of Iowa, USA

Email: jorgen@math.uiowa.edu


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 (TEX 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 (TEX 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 (TEX 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 (TEX 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 (TEX 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 (TEX 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.

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