# Publications by Palle E.T. Jorgensen

### Preprints by Jorgensen on the arXiv server

More recent publications than those below are listed on Palle E.T. Jorgensen's home page.

## Jorgensen's Publications in 2005

Wavelet constructions in non-linear dynamics
by Dorin E. Dutkay and Palle E. T. Jorgensen, Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 21--33.

Hilbert spaces of martingales supporting certain substitution-dynamical systems
by Dorin E. Dutkay and Palle E. T. Jorgensen, Conform. Geom. Dyn. 9 (2005), 24--45.

Measures in wavelet decompositions
by Palle E. T. Jorgensen, Adv. Appl. Math. 34 (2005), no. 3, 561--590.

On C*-algebras generated by pairs of q-commuting isometries
by D.P. Proskurin and Yu. S. Samoilenko, J. Phys. A: Math. Gen. 38 (2005), 2669--2680.

Construction of Parseval wavelets from redundant filter systems
by L.W. Baggett, Palle E.T. Jorgensen, K.D. Merrill, and J.A. Packer, J. Math. Phys. 46 (2005), no. 8, 19 pp.

## Jorgensen's Publications in 2004

The existence problem for dynamics of dissipative systems in quantum probability
by Palle E. T. Jorgensen, J. Math. Phys. 45 (2004), 3605--3619.

Closed subspaces which are attractors for representations of the Cuntz algebras
by Palle E. T. Jorgensen, Operator Theory: Advances and Applications, vol. 149, Birkhäuser Verlag, Basel, 2004, pp. 223--253.

An analogue of Bratteli-Jorgensen loop group actions for GMRA's
by L.W. Baggett, Palle E.T. Jorgensen, K.D. Merrill, and J.A. Packer, Wavelets, Frames, and Operator Theory: Proceedings of the conference held at Baltimore in January 2003 (C. Heil, P.E.T. Jorgensen, and D. Larson, eds.), Contemporary Mathematics, vol. 345, American Mathematical Society, Providence, 2004, pp. 11--25.

Wavelets, Frames, and Operator Theory: Proceedings of the conference held at Baltimore in January 2003 edited by Christopher Heil, Palle E.T. Jorgensen, and David R. Larson, Contemporary Mathematics, vol. 345, American Mathematical Society, Providence, 2004.

Representation Theory and Numerical AF-invariants: The Representations and Centralizers of Certain States on Od
by Ola Bratteli, Palle E. T. Jorgensen, and Vasyl Ostrovskyi, Mem. Amer. Math. Soc. 168 (2004), no. 797, 178 pp.

Duality principles in analysis
by Palle E. T. Jorgensen, Wavelets and frames (Oberwolfach mini-workshop, Feb. 15--21, 2004), Report no. 10/1004, Mathematisches Forschungsinstitut Oberwolfach, Germany, 2004, pp. 509--510.

Iterated function systems, representations, and Hilbert space
by Palle E. T. Jorgensen, Internat. J. Math. 15 (2004), 813--832.

## Jorgensen's Publications in 2003

Wavelets in mathematical physics: q-oscillators
by Palle E. T. Jorgensen and Anna Paolucci, J. Phys. A: Math. Gen. 36 (13 June 2003), 6483--6494.

Matrix factorizations, algorithms, wavelets
by Palle E. T. Jorgensen, Notices Amer. Math. Soc. 50 (Sept. 2003), no. 8, 880--894.
Supplementary references which were suggested to us after this article appeared in print:

• Suggested by Dr. Solomon Golomb on August 29, 2003:
• S. W. Golomb, On the classification of Boolean functions, IEEE Transactions on Information Theory, Vol. IT-5, Special Supplement, May 1959, pp. 176--187.
• Martin Gardner, Mathematical games: On "rep-tiles", polygons that can make larger and smaller copies of themselves, Scientific American, vol. 208, no. 5, May 1963, pp. 154--164.
[A variant of this article was collected in The Unexpected Hanging and Other Mathematical Diversions, Simon & Schuster, New York, 1969.]

Book review of An Introduction to Wavelet Analysis by David F. Walnut, Applied and Numerical Harmonic Analysis, Birkhäuser, 2002
by Palle E. T. Jorgensen, Bull. Amer. Math. Soc. 40 (2003), 421--427.

Wavelet representations and Fock space on positive matrices
by Palle E. T. Jorgensen and David Kribs, J. Funct. Anal. 197 (2003), 526--559.
[Review in Zentralblatt Math.]

Advances in Quantum Dynamics, AMS-IMS-SIAM Joint Summer Research Conference (Mount Holyoke, 2002) edited by Geoffrey L. Price, Editor-in-Chief, and B. Mitchell Baker, Palle E.T. Jorgensen, and Paul S. Muhly, Contemporary Mathematics, vol. 335, American Mathematical Society, Providence, 2003.

## Jorgensen's Publications in 2002

### Wavelets through a Looking Glass: The World of the Spectrum

by Ola Bratteli and Palle E. T. Jorgensen, Applied and Numerical Harmonic Analysis, Birkhäuser, Boston, 2002 — see above.
[Review in Mathematical Reviews]
[Review in Zentralblatt Math.]

Diagonalizing operators with reflection symmetry
by Palle E. T. Jorgensen, J. Funct. Anal. 190 (2002), 93--132.
[Review in Zentralblatt Math.]

Generalized canonical commutation relations: Representations and stability of universal enveloping C*-algebra
by Palle E. T. Jorgensen, D.P. Proskurin, and Yu. S. Samo&ibreve;lenko, Symmetry in Nonlinear Mathematical Physics, Part 2 (Kyiv, 2001) (A.G. Nikitin, V.M. Boyko, and R.O. Popovych, eds.), Proceedings of the Institute of Mathematics of the Ukrainian National Academy of Sciences: Mathematics and Its Applications, vol. 43, Nats&ibar;onal'na Akadem&ibar;ya Nauk Ukraïni, &Ibar;nstitut Matematiki, Kiev, 2002, pp. 456--460.
[Review in Mathematical Reviews]

Computation of isomorphism invariants for stationary dimension groups
by Ola Bratteli, Palle E.T. Jorgensen, Ki Hang Kim, and Fred Roush, Ergodic Theory Dynam. Systems 22 (2002), 99--127.
[Review in Zentralblatt Math.]

Wavelet filters and infinite-dimensional unitary groups
by Ola Bratteli and Palle E.T. Jorgensen, Wavelet Analysis and Applications (Guangzhou, China, 1999) (D. Deng, D. Huang, R.-Q. Jia, W. Lin, and J. Wang, eds.), AMS/IP Studies in Advanced Mathematics, vol. 25, American Mathematical Society, Providence, International Press, Boston, 2002, pp. 35--65.

## Jorgensen's Publications in 2001

Ruelle operators: Functions which are harmonic with respect to a transfer operator
by Palle E. T. Jorgensen, Mem. Amer. Math. Soc. 152 (2001), no. 720, viii+60 pp.
[Review in Mathematical Reviews]
[Review in Zentralblatt Math.]

The kernel of Fock representations of Wick algebras with braided operator of coefficients
by Palle E. T. Jorgensen, Daniil P. Proskurin, and Yurii S. Samoilenko, Pacific J. Math. 198 (2001), 109--122.
[Review in Mathematical Reviews]

Decidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups
by Ola Bratteli, Palle E.T. Jorgensen, Ki Hang Kim, and Fred Roush, Ergodic Theory Dynam. Systems 21 (2001), 1625--1655. Corrigendum: 22 (2002), 633.
[Review in Zentralblatt Math.]

Representations of Cuntz algebras, loop groups and wavelets
by Palle E.T. Jorgensen, XIIIth International Congress on Mathematical Physics (London, 2000) (A. Fokas, A. Grigoryan, T. Kibble, and B. Zegarlinski, eds.), International Press, Boston, 2001, pp. 327--332.

Minimality of the data in wavelet filters
by Palle E.T. Jorgensen, Adv. Math. 159 (2001), 143--228.
[Review in Mathematical Reviews]

Some second-order partial differential equations associated with Lie groups
by Palle E.T. Jorgensen, Geometric Analysis and Applications (Canberra, 2000) (A. Isaev, A. Hassell, A. McIntosh, and A. Sikora, eds.), Proceedings of the Centre for Mathematics and Its Applications, vol. 39, The Australian National University, Canberra, 2001, pp. 149--159.

A family of *-algebras allowing Wick ordering: Fock representations and universal enveloping C*-algebras
by Palle E. T. Jorgensen, Daniil P. Proskurin, and Yurii S. Samoilenko, Noncommutative Structures in Mathematics and Physics (Kiev, 2000) (S. Duplij and J. Wess, eds.), NATO Science Series II: Mathematics, Physics and Chemistry, vol. 22, Kluwer Academic Publishers, Dordrecht, 2001, pp. 321--329.

## Jorgensen's Publications in 2000

Pure states on Od
by Ola Bratteli, Palle E. T. Jorgensen, Akitaka Kishimoto, and Reinhard F. Werner, J. Operator Theory 43 (2000), 97--143.
[Review in Mathematical Reviews]

Compactly supported wavelets and representations of the Cuntz relations
by Ola Bratteli, David E. Evans, and Palle E. T. Jorgensen, Applied and Computational Harmonic Analysis 8 (2000), 166--196.

by Palle E. T. Jorgensen and Gestur Ólafsson, The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis (R. Doran and V. Varadarajan, eds.), Proc. Sympos. Pure Math., vol. 68, American Mathematical Society, Providence, R.I., 2000, pp. 333--401.
[Featured Review in Mathematical Reviews]

Quantum field theory, axioms for
by Palle E.T. Jorgensen and Gestur Ólafsson, Encyclopaedia of Mathematics, Supplement II, M. Hazewinkel, ed., Kluwer Academic Publishers, 2000, pp. 393--394.

Off-diagonal terms in symmetric operators
by Palle E. T. Jorgensen, J. Math. Phys. 41 (2000), 2337--2349.
[Review in Mathematical Reviews]

Non-stationarity of isomorphism between AF-algebras defined by stationary Bratteli diagrams
by O. Bratteli, K.H. Kim, F. Roush, and Palle E.T. Jorgensen, Ergodic Theory Dynam. Systems 20 (2000), 1639--1656.
[Review in Mathematical Reviews]

Commuting self-adjoint extensions of symmetric operators defined from the partial derivatives
by Palle E.T. Jorgensen and S. Pedersen, J. Math. Phys. 41 (2000), 8263--8278.
[Review in Mathematical Reviews]

Compactly supported wavelets and representations of the Cuntz relations, II
by Palle E.T. Jorgensen, Wavelet Applications in Signal and Image Processing VIII (San Diego, 2000) (A. Aldroubi, A.F. Laine, and M.A. Unser, eds.), Proceedings of SPIE, vol. 4119, SPIE, Bellingham, WA, 2000, pp. 346--355.

## Other Recent Papers Available on the Internet:

Multiresolution wavelet analysis of Bessel functions of scale $\nu +1$
by Palle E.T. Jorgensen and A. Paolucci

Convergence of the cascade algorithm at irregular scaling functions
by Ola Bratteli and Palle E. T. Jorgensen
[Review in Mathematical Reviews]

A geometric approach to the cascade approximation operator for wavelets
by Palle E. T. Jorgensen
[Review in Mathematical Reviews]

Spectral pairs in Cartesian coordinates
by Palle E. T. Jorgensen and Steen Pedersen
[Review in Mathematical Reviews]

Orthogonal harmonic analysis and scaling of fractal measures
by Palle E. T. Jorgensen and Steen Pedersen
[Review in Mathematical Reviews]

Dense analytic subspaces in fractal L2-spaces
by Palle E.T. Jorgensen and Steen Pedersen
[Review in Mathematical Reviews]

Spectral asymptotics of periodic elliptic operators
by Ola Bratteli, Palle E. T. Jorgensen, and Derek W. Robinson
[Review in Mathematical Reviews]

Unitary representations of Lie groups with reflection symmetry
by Palle E.T. Jorgensen and Gestur Ólafsson
[Review in Mathematical Reviews]

A connection between multiresolution wavelet theory of scale N and representations of the Cuntz algebra ON
by Ola Bratteli and Palle E.T. Jorgensen
[Review in Zentralblatt Math.]

Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale N
by Ola Bratteli and Palle E.T. Jorgensen
[Featured Review in Mathematical Reviews]

Iterated function systems and permutation representations of the Cuntz algebra
by Ola Bratteli and Palle E.T. Jorgensen
[Featured Review in Mathematical Reviews]
• Go to last Featured Review (a review by Palle Jorgensen of papers by S. Pedersen and J.C. Lagarias)

[gzip-compressed PostScript:]
Harmonic Analysis of Fractal Processes Via C*-Algebras
by Palle E.T. Jorgensen

[gzip-compressed PostScript:]
Endomorphisms of B(H), II: Finitely Correlated States on On
by Ola Bratteli and Palle E.T. Jorgensen
[Review in Mathematical Reviews]
[Review in Zentralblatt Math.]

Endomorphisms of B(H)
by Ola Bratteli, Palle Jorgensen, and Geoff Price
[Review in Mathematical Reviews]

[gzip-compressed PostScript:]
A Duality for Endomorphisms of von Neumann Algebras
by Palle E.T. Jorgensen

[gzip-compressed PostScript:]
Harmonic Analysis of Fractal Measures
by Palle E.T. Jorgensen and Steen Pedersen
[Review in Mathematical Reviews]

Estimates on the spectrum of fractals arising from affine iterations
by Palle E.T. Jorgensen and Steen Pedersen

[gzip-compressed PostScript:]
Harmonic Analysis and Fractal Limit-Measures Induced by Representations of a Certain C*-Algebra
by Palle E.T. Jorgensen and Steen Pedersen
[Review in Mathematical Reviews]

Positive representations of general commutation relations allowing Wick ordering
by P.E.T. Jorgensen, L.M. Schmitt and R.F. Werner
[Review in Mathematical Reviews]

Harmonic analysis of fractal measures induced by representations of a certain C*-algebra
by Palle E.T. Jorgensen and Steen Pedersen

Coherent States of the q-Canonical Commutation Relations
by P.E.T. Jorgensen and R.F. Werner
[Review in Mathematical Reviews]

[gzip-compressed PostScript:]
Scattering theory for orthogonal wavelets
by Palle E.T. Jorgensen

The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been approved by the Division of Mathematical Sciences, the College of Liberal Arts or The University of Iowa.

Work displayed on this page was supported in part by the U.S. National Science Foundation under grants DMS-9987777 and DMS-0139473(FRG).