Palle E T JorgensenProfessor
University of IowaIowa City, IA
» Palle's Resume
I am a professor of mathematics, and I have taught at the University of Iowa since 1984. Before that, I taught at Stanford University, at the University of Pennsylvania, and at Aarhus University, Denmark. I am a research mathematician, with funding from the US National Science Foundation. I am also an editor of research journals.
I have been an invited researcher and speaker at conferences and universities in the US, and in Europe, and Asia, with funding from the host universities.
I have an article "Matrix factorizations, algorithms, wavelets" in the Notices of the American Mathematical Society (Sept. 2003). I have had 18 PhD students. My research papers, some joint with co-authors at many corners of the world, have appeared in international scientific journals, math journals, both pure and applied (operator algebras, and harmonic analysis), and in mathematical physics (quantum theory, symmetry, and spectral analysis).
My recent research: wavelet theory, subdivision algorithms, decidability of dimension-group isomorphism, spectral-tile duality, scaling algorithms, and fractals.
I have written some reviews of math books on Amazon.
I found that these subband filters define operators in Hilbert space which satisfy all kinds of abstract relations, now known as Cuntz- and Cuntz-Krieger relations. These are tools from math that I had gotten involved with in the late 1970ties for completely different reasons. My impression is that the operator relations go way back, and have been used every day, and twice on Sundays, ever since, by signal processing engineers, and others I probably don't even know about: Matrix functions from math are actually called poly-phase matrices by engineers, and they are scattering matrices in other circles, and quantum gates in physics. In fact a lot of the things we do in operator theory are known and used in other fields.
Last Updated: 1/5/2010
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