Prof. Palle Jorgensen
The University of Iowa, USA
Email: jorgen@math.uiowa.edu
Qualifications
1973 Ph.D., University of Aarhus, Denmark
Publications (Selected)

Analysis and Probability: Wavelets, Signals, Fractals, under contract for publication in the Graduate Texts in Mathematics series, vol. 234, SpringerVerlag, New York, 2006, approx. 320 p., 42 illus., hardcover, ISBN 0387295194.

(with L.W. Baggett, K.D. Merrill, and J.A. Packer) A nonMRA C ^{r }frame wavelet with rapid decay, Acta Appl. Math. 89 (2006), 251–270. http://arxiv.org/abs/math.CA/0504394

(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

(with D.E. Dutkay) Methods from multiscale theory and wavelets applied to nonlinear 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.

(with D.E. Dutkay) Wavelet constructions in nonlinear dynamics (T_{E}X manuscript, 13 pages), Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 21–33.

(with D.E. Dutkay) Iterated function systems, Ruelle operators, and invariant projective measures (T_{E}X manuscript, 36 pages), Math. Comp., to appear (accepted July 2005, publication expected 2006). http://arxiv.org/abs/math.DS/0501077

(with D.E. Dutkay) Disintegration of projective measures (T_{E}X manuscript, 8 pages), Proc. Amer. Math. Soc., to appear. http://arxiv.org/abs/math.CA/0408151

(with D.E. Dutkay) Hilbert spaces of martingales supporting certain substitutiondynamical systems, Conform. Geom. Dyn. 9 (2005), 24–45.

(with D.E. Dutkay) Martingales, endomorphisms, and covariant systems of operators in Hilbert space (T_{E}X manuscript, 44 pages), J. Operator Theory, to appear (accepted November 2005, publication expected 2007). http://arXiv.org/abs/math.CA/0407330

Duality principles in analysis, Wavelets and frames (Oberwolfach miniworkshop, Feb. 15–21, 2004), Report no. 10/1004, Mathematisches Forschungsinstitut Oberwolfach, Germany, 2004, pp. 509–510.

Certain representations of the Cuntz relations, and a question on wavelets decompositions (T_{E}X 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.

Iterated function systems, representations, and Hilbert space, Internat. J. Math. 15 (2004), 813–832.

Measures in wavelet decompositions, Adv. Appl. Math. 23 (2005), 561590.

(with D.P. Proskurin and Yu. S. Samo˘ılenko) On C^{*}algebras generated by pairs of qcommuting isometries, J. Phys. A: Math. Gen. 38 (2005), 2669–2680.

Use of operator algebras in the analysis of measures from wavelets and iterated function systems (T_{E}X 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

(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.

(with L.W. Baggett, K.D. Merrill, and J.A. Packer) An analogue of BratteliJorgensen 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.), Contemp. Math., vol. 345, American Mathematical Society, Providence, RI, 2004, pp. 11–25. http://arxiv.org/abs/math.OA/0308131.

(with D.E. Dutkay) Wavelets on fractals, Rev. Mat. Iberoamericana 22 (2006), 131–180.
Profile Details
http://www.math.uiowa.edu/~jorgen/
