WorldCat Identities

Jørgensen, Palle E. T. 1947-

Overview
Works: 105 works in 352 publications in 2 languages and 6,706 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Creator, Thesis advisor, Other, Contributor
Classifications: QA403.3, 515.2433
Publication Timeline
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Most widely held works about Palle E. T Jørgensen
 
Most widely held works by Palle E. T Jørgensen
Analysis and probability : wavelets, signals, fractals by Palle E. T Jørgensen( Book )

21 editions published between 2006 and 2011 in English and held by 412 WorldCat member libraries worldwide

"This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals. The book brings together tools from engineering and math, especially from signal- and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications."--Jacket
Wavelets through a looking glass : the world of the spectrum by Ola Bratteli( Book )

11 editions published in 2002 in English and held by 318 WorldCat member libraries worldwide

This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral-theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. Key features of the book: The important role of the spectrum of a transfer operator is studied * Excellent graphics show how wavelets depend on the spectra of the transfer operators * Key topics of wavelet theory are examined: connected components in the variety of wavelets, the geometry of winding numbers, the Galerkin projection method, classical functions of Weierstrass and Hurwitz and their role in describing the eigenvalue-spectrum of the transfer operator, isospectral families of wavelets, spectral radius formulas for the transfer operator, Perron-Frobenius theory, and quadrature mirror filters * New previously unpublished results appear on the homotopy of multiresolutions, on approximation theory, and on the spectrum and structure of the fixed points of the associated transfer and subdivision operators * Concise background material for each chapter, open problems, exercises, bibliography, and comprehensive index make this work a fine pedagogical and reference resource. This self-contained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students, practitioners, and researchers in applied mathematics and engineering. The book is also useful for other mathematicians with an interest in the interface between mathematics and communication theory
Operators and representation theory : canonical models for algebras of operators arising in quantum mechanics by Palle E. T Jørgensen( Book )

24 editions published between 1987 and 2008 in English and held by 281 WorldCat member libraries worldwide

Historically, operator theory and representation theory both originated with the advent of quantum mechanics. The interplay between the subjects has been and still is active in a variety of areas. This volume focuses on representations of the universal enveloping algebra, covariant representations in general, and infinite-dimensional Lie algebras in particular. It also provides new applications of recent results on integrability of finite-dimensional Lie algebras. As a central theme, it is shown that a number of recent developments in operator algebras may be handled in a particularly elegant manner by the use of Lie algebras, extensions, and projective representations. In several cases, this Lie algebraic approach to questions in mathematical physics and C*-algebra theory is new; for example, the Lie algebraic treatment of the spectral theory of curved magnetic field Hamiltonians, the treatment of irrational rotation type algebras, and the Virasoro algebra. Also examined are C*-algebraic methods used (in non-traditional ways) in the study of representations of infinite-dimensional Lie algebras and their extensions, and the methods developed by A. Connes and M.A. Rieffel for the study of the Yang-Mills problem. Cutting across traditional separations between fields of specialization, the book addresses a broad audience of graduate students and researchers
Operator algebras and mathematical physics : proceedings of a summer conference held June 17-21, 1985 with support from the National Science Foundation and the University of Iowa by Summer Conference on Algebras and Mathematical Physics( Book )

16 editions published between 1986 and 1987 in English and held by 278 WorldCat member libraries worldwide

Operator commutation relations : commutation relations for operators, semigroups, and resolvents with applications to mathematical physics and representations of Lie groups by Palle E. T Jørgensen( Book )

16 editions published in 1984 in English and Dutch and held by 268 WorldCat member libraries worldwide

In his Retiring Presidential address, delivered before the Annual Meeting of The American Mathematical Society on December, 1948, the late Professor Einar Hille spoke on his recent results on the Lie theory of semigroups of linear transformations, . . - "So far only commutative operators have been considered and the product law ... is the simplest possible. The non-commutative case has resisted numerous attacks in the past and it is only a few months ago that any headway was made with this problem. I shall have the pleasure of outlining the new theory here; it is a blend of the classical theory of Lie groups with the recent theory of one-parameter semigroups." The list of references in the subsequent publication of Hille's address (Bull. Amer. Math -. Soc. 56 (1950)) includes pioneering papers of I.E. Segal, I.M. Gelfand, and K. Yosida. In the following three decades the subject grew tremendously in vitality, incorporating a number of different fields of mathematical analysis. Early papers of V. Bargmann, I.E. Segal, L. G~ding, Harish-Chandra, I.M. Singer, R. Langlands, B. Konstant, and E. Nelson developed the theoretical basis for later work in a variety of different applications: Mathematical physics, astronomy, partial differential equations, operator algebras, dynamical systems, geometry, and, most recently, stochastic filtering theory. As it turned out, of course, the Lie groups, rather than the semigroups, provided the focus of attention
Algebraic methods in operator theory( Book )

10 editions published in 1994 in English and held by 232 WorldCat member libraries worldwide

The theory of operators stands at the intersection of the frontiers of modern analysis and its classical counterparts; of algebra and quantum mechanics; of spectral theory and partial differential equations; of the modern global approach to topology and geometry; of representation theory and harmonic analysis; and of dynamical systems and mathematical physics. The present collection of papers represents contributions to a conference, and they have been carefully selected with a view to bridging different but related areas of mathematics which have only recently displayed an unexpected network of interconnections, as well as new and exciting cross-fertilizations. Our unify ing theme is the algebraic view and approach to the study of operators and their applications. The complementarity between the diversity of topics on the one hand and the unity of ideas on the other has been stressed. Some of the longer contributions represent material from lectures (in expanded form and with proofs for the most part). However, the shorter papers, as well as the longer ones, are an integral part of the picture; they have all been carefully refereed and revised with a view to a unity of purpose, timeliness, readability, and broad appeal. Raul Curto and Paile E.T
Iterated function systems and permutation representations of the Cuntz algebra by Ola Bratteli( Book )

10 editions published in 1999 in English and held by 225 WorldCat member libraries worldwide

Representation theory and numerical AF-invariants : the representations and centralizers of certain states on Od by Ola Bratteli( Book )

13 editions published in 2004 in English and held by 221 WorldCat member libraries worldwide

Part A. Representation theory Part B. Numerical AF-invariants Bibliography List of figures List of tables List of terms and symbols
Wavelets, frames, and operator theory : Focused Research Group Workshop on Wavelets, Frames, and Operator Theory, January 15-21, 2003, University of Maryland, College Park, Maryland by Frames, and Operator Theory Focused Research Group Workshop on Wavelets( Book )

10 editions published in 2004 in English and held by 215 WorldCat member libraries worldwide

Nineteen papers are presented from a special joint session held in conjunction with the American Mathematical Society's 2003 annual meeting in Baltimore, and a National Science Foundation workshop at the University of Maryland. The papers distinguish themselves by often including applications as wel
Ruelle operators : functions which are harmonic with respect to a transfer operator by Palle E. T Jørgensen( Book )

9 editions published in 2001 in English and held by 204 WorldCat member libraries worldwide

Introduction A discrete $ax+b$ group Proof of Theorem 2.4 Wavelet filters Cocycle equivalence of filter functions The transfer operator of Keane A representation theorem for $R$-harmonic functions Signed solutions to $R(f)=f$ Bibliography
Operator theory, operator algebras, and applications : the 25th Great Plains Operator Theory Symposium, June 7-12, 2005, University of Central Florida, Florida by Great Plains Operator Theory Symposium( Book )

9 editions published between 2006 and 2007 in English and held by 196 WorldCat member libraries worldwide

Iterated function systems, moments, and transformations of infinite matrices by Palle E. T Jørgensen( Book )

10 editions published in 2011 in English and held by 172 WorldCat member libraries worldwide

Representations, wavelets and frames : a celebration of the mathematical work of Lawrence Baggett by John Benedetto( Book )

18 editions published in 2008 in English and held by 107 WorldCat member libraries worldwide

Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g., frames from signal analysis). Representations, Wavelets, and Frames contains chapters pertaining to this theme from experts and expositors of renown in mathematical analysis and representation theory. Topics are selected with an emphasis on fundamental and timeless techniques with a geometric and spectral-theoretic flavor. The material is self-contained and presented in a pedagogical style that is accessible to students from both pure and applied mathematics while also of interest to engineers. The book is organized into five sections that move from the theoretical underpinnings of the subject, through geometric connections to tilings, lattices and fractals, and concludes with analyses of computational schemes used in communications engineering. Within each section, individual chapters present new research, provide relevant background material, and point to new trends and open questions. Contributors: C. Benson, M. Bownik, V. Furst, V.W. Guillemin, B. Han, C. Heil, J.A. Hogan, P.E.T. Jorgensen, K. Kornelson, J.D. Lakey, D.R. Larson, K.D. Merrill, J.A. Packer, G. Ratcliff, K. Shuman, M.-S. Song, D.W. Stroock, K.F. Taylor, E. Weber, X. Zhang
Algebras, graphs and their applications by Ilwoo Cho( Book )

10 editions published between 2013 and 2014 in English and held by 87 WorldCat member libraries worldwide

"Preface In this book, we consider algebra on directed graphs. From combinatorial objects, direct graphs, we establish corresponding algebraic objects which become groupoids. We call such groupoids graph groupoids. Connected with groupoid theory, we investigate the properties of graph groupoids. From this investigation, we can realize that graph groupoids act like the free groups in group theory. In other words, the study of graph groupoids is understood as groupoidal version of free-group theory. As application, we observe how graph groupoids are playing their role in different mathematical and scientific areas, including general groupoid theory, representation theory, automata theory, operator algebra (von Neumann algebra theory, C*-algebra theory, free probability, and index theory), noncommutative dynamical systems (groupoid dynamical systems), operator theory (spectral theory), fractal theory, information theory (entropy theory), and network theory, etc. We can check all operated groupoids (for instance, groupoid sums, product groupoids, quotient groupoids, etc) of graph groupoids are graph groupoids, too. This means that the study of operated groupoids of graph groupoids becomes nothing but studying other graph groupoids. It makes us easy to handle graph-groupoid related structures"--
Extensions of positive definite functions : applications and their harmonic analysis by Palle E. T Jørgensen( Book )

8 editions published in 2016 in English and held by 67 WorldCat member libraries worldwide

This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some prescribed group. It is therefore both an art and a science to produce solid conclusions from restricted or limited data. While the theory of is important in many areas of pure and applied mathematics, it is difficult for students and for the novice to the field, to find accessible presentations which cover all relevant points of view, as well as stressing common ideas and interconnections. We have aimed at filling this gap, and we have stressed hands-on-examples
Positive semigroups of operators, and applications by Ola Bratteli( Book )

9 editions published in 1984 in English and held by 66 WorldCat member libraries worldwide

This means that semigroup theory may be applied directly to the study of the equation I'!.f = h on M. In [45] Yau proves that, for h ~ 0, there are no nonconstant, nonnegative solutions f in [j' for 1 <p <00. From this, Yau gets the geometric fact that complete noncom pact Riemannian manifolds with nonnegative Ricci curvature must have infinite volume, a result which was announced earlier by Calabi [4]. 6. Concluding Remarks In several of the above results, positivity of the semigroup plays an important role. This was also true, although only implicitly, for the early work of Hille and Yosida on the Fokker-Planck equation, i.e., Equation (4) with c = O. But it was Phillips [41], and Lumer and Phillips [37] who first called attention to the importance of dissipative and dispersive properties of the generator in the context of linear operators in a Banach space. The generation theorems in the Batty-Robinson paper appear to be the most definitive ones, so far, for this class of operators. The fundamental role played by the infinitesimal operator, also for the understanding of order properties, in the commutative as well as the noncommutative setting, are highlighted in a number of examples and applications in the different papers, and it is hoped that this publication will be of interest to researchers in a broad spectrum of the mathematical sub-divisions
Recent advances in computational sciences : selected papers from the International Workshop on Computational Sciences and its Education, Beijing, China, 29-31 August 2005 by Palle E. T Jørgensen( Book )

9 editions published in 2008 in English and Undetermined and held by 43 WorldCat member libraries worldwide

This book presents state-of-the-art lectures delivered by international academic and industrial experts in the field of computational science and its education, covering a wide spectrum from theory to practice. Topics include new developments in finite element method (FEM), finite volume method and Spline theory, such as Moving Mesh Methods, Galerkin and Discontinuous Galerkin Schemes, Shape Gradient Methods, Mixed FEMs, Superconvergence techniques and Fourier spectral approximations with applications in multidimensional fluid dynamics; Maxwell equations in discrepancy media; and phase-field equations. It also discusses some interesting topics related to Stokes equations, Schrödinger equations, wavelet analysis and approximation theory. Contemporary teaching issues in curriculum reform also form an integral part of the book. This book will therefore be of significant interest and value to all graduates, research scientists and practitioners facing complex computational problems. Administrators and policymakers will find it is an addition to their mathematics curriculum reform libraries
Ruelle operators : functions which are harmonic with respect to a transfer operator by Palle E. T Jørgensen( Book )

2 editions published in 2001 in English and held by 25 WorldCat member libraries worldwide

Commutative and noncommutative harmonic analysis and applications : AMS Special Session in Memory of Daryl Geller on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, September 22-23, 2012, Rochester Institute of Technology, Rochester, NY by AMS Special Session in Memory of Daryl Geller Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations( Book )

2 editions published in 2013 in English and held by 11 WorldCat member libraries worldwide

Advances in quantum dynamics : AMS-IMS-SIAM Joint Summer Research Conference on Advances in Quantum Dynamics, June 16-20, 2002, Mount Holyoke College, South Hadley, Massachusetts by Geoffrey L Price( Book )

3 editions published between 2003 and 2004 in English and held by 4 WorldCat member libraries worldwide

 
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Analysis and probability : wavelets, signals, fractals
Alternative Names
Joergensen, Palle 1947-

Joergensen, Palle E. T. 1947-

Jörgensen

Jorgensen, P. E.

Jorgensen, P. E. T.

Jorgensen, Palle.

Jørgensen, Palle 1947-

Jørgensen, Palle E. T.

Jorgensen, Palle E.T. 1947-

Jørgensen, Palle T.

Languages
English (219)

Dutch (1)

Covers
Wavelets through a looking glass : the world of the spectrumOperators and representation theory : canonical models for algebras of operators arising in quantum mechanicsOperator commutation relations : commutation relations for operators, semigroups, and resolvents with applications to mathematical physics and representations of Lie groupsAlgebraic methods in operator theoryIterated function systems and permutation representations of the Cuntz algebraWavelets, frames, and operator theory : Focused Research Group Workshop on Wavelets, Frames, and Operator Theory, January 15-21, 2003, University of Maryland, College Park, MarylandRuelle operators : functions which are harmonic with respect to a transfer operatorOperator theory, operator algebras, and applications : the 25th Great Plains Operator Theory Symposium, June 7-12, 2005, University of Central Florida, Florida