David R. Larson

 

Research Interests

 

 
  • Operator Algebras and Operator Theory
  • Applied Harmonic Analysis
  • Wavelet Theory and Frame Theory
  • Matrix Analysis

  • Curriculum Vitae

  • arXiv

Publications Since 2000

  • A.J, Hergenroeder, Z. Catlin, B. George and D. Larson, "Patch and crossover planar dyadic wavelet sets", Involve, to appear.
  • D. Larson, P. Massopust and G. Olafsson, "Three-way tiling sets in two dimensions", submitted.
  • X. Zhang and D.R. Larson, "Interpolation maps and congruence domains for wavelet sets", to appear.
  • V. Kaftal, D.R. Larson and S. Zhang, "Operator valued frames", submitted.
  • D.R. Larson and P. Massopust, "Coxeter groups and wavelet sets", to appear.
  • V. Kaftal, D.R. Larson and S. Zhang, "Operator valued frames on C*-modules", to appear.
  • D.R. Larson, W-S. Tang and E. Weber, "Robertson type theorems for countable abelian groups of unitary operators", Contemporary Math., to appear.
  • C. Heil and D.R. Larson, "Operator theory and modulation spaces", to appear.
  • D.R. Larson, "Unitary systems, wavelet sets, and operator-theoretic interpolation of wavelets and frames", Chapter in a book (tutorial lecture notes as one of two main speakers), Proceedings of the "Workshop on the Functional and Harmonic Analysis of Wavelets and Frames", August 2004, National University of Singapore, to appear.
  • D.R. Larson, "Unitary systems and wavelet sets", Chapter in a book (as a keynote speaker), Proceedings of the "Fourth International Conference on Wavelet Analysis and its Applications, Macau, China, December 2005 [WAA2005], to appear.
  • D. Han, D.R. Larson, Z. Pan and W. Wogen, "Separating vectors for operators", Proc. AMS, to appear.
  • D.R. Larson, E. Schulz, D. Speegle and K.F. Taylor, "Explicit cross sections of singly generated group actions", "Harmonic Analysis and Applications," C. Heil, ed., Birkhauser, Boston, to appear (a chapter in a book).
  • D. Han, D. Larson, Z. Pan and W. Wogen, "Extensions of operators", Indiana J. Math., 53(2004), 1151-1169.
  • K. Dykema, D. Freeman, K. Kornelson, D. Larson, M. Ordower and E. Weber, "Ellipsoidal tight frames and projection decompositions of operators", Illinois J. Math., 48(2004), 477-489..
  • R. Harte and D. Larson, "Skew exactness perturbations", Proc. AMS, 132(2004), 2603-2611.
  • D. Hadwin, D.R. Larson and D. Timotin, "Approximation Theory and Matrix Completions", Linear Algebra and its Appl., 377(2004), 165-179.
  • K. Kornelson and D.R. Larson, "Rank-one decompositions of operators and construction of frames", Contemporary Math., 345(2004), 203-214.
  • A. Aldroubi, D.R. Larson, W-S. Tang and E. Weber, "Geometric aspects of frame representations of abelian groups", Trans. AMS., 356(2004), 4767-4186.
  • D. Hadwin and D.R. Larson, "Completely rank-non-decreasing linear maps", Journal of Functional Analysis, 199(2003), 210-227
  • E. Azoff, E. Ionascu, D.R. Larson and C. Pearcy, "Direct paths of wavelets", Houston J. Math., 29(2003), 737-756.
  • D.R. Larson, W-S. Tang and E. Weber, "Multiwavelets associated with countable abelian groups of unitary operators in Hilbert spaces", Internat. J. Pure and Appl. Math., 06 (2003), 123-144.
  • M. Frank and D.R. Larson, "Frames in Hilbert C*-modules and C*-algebras", Journal of Operator Theory, 48(2002), 273-314.
  • D.R. Larson, W-S. Tang, and E. Weber, "Riesz wavelets and multiresolution structures", SPIE Proceedings Vol. 4478, Wavelet Applications in Signal and Image Processing IX (2001), 254-262.
  • D. Han and D.R. Larson, "Wandering vector multipliers for unitary groups", Transactions AMS, 353(2001), 3347-3370.
  • M. Frank and D.R. Larson, "Modular frames for Hilbert C*-modules and symmetric approximation of frames", SPIE Proceedings Vol. 4119, Wavelet Applications in Signal and Image Processing VIII (2000), 325-336.
  • D. Han and D.R. Larson, "Frames, bases and group representations", Memoirs American Math. Soc. 147 (2000), no. 697. [Note: the pdf file we post here is accurate but is not complete because it is missing some finishing details and results that are included in the published version.]
  • J-P Gabardo, D. Han, and D.R. Larson, "Gabor frames and operator algebras", SPIE Proceedings Vol. 4119, Wavelet Applications in Signal and Image Processing VIII (2000), 337-345.

    • Selected Publications Before 2000

  • D. Han, D. Larson, M. Papadakis and Th. Stavropoulos, "Multiresolution analysis of abstract Hilbert spaces and wandering subspaces", Contemporary Math., 247(1999), 259-284.
  • P. Casazza, D. Han and D.R. Larson, "Frames for Banach spaces", Contemporary Math., 247 (1999), 149-182.
  • M. Frank and D.R. Larson, "A module frame concept for Hilbert C*-modules", Contemporary Math., 247 (1999), 207-234.
  • E. Ionascu, D.R. Larson and C. Pearcy, "On wavelet sets", J. Fourier Analysis and Applications, 4(1998), 711-721.
  • D.R. Larson and The Wutam Consortium, "Basic Properties of Wavelets", Journal of Fourier Analysis and Applications, 4(1998), 575-594. [The "Wutam Consortium" is a group of researchers based at Washington University (St. Louis) and Texas A&M University (College Station).]
  • X. Dai and D.R. Larson, "Wandering vectors for unitary systems and orthogonal wavelets", Memoirs American Math. Soc. 134 (1998). [Note: the pdf file we post here is accurate but is not complete because it is missing some finishing details and results that are included in the published version.]
  • D. Hadwin and D.R. Larson, "Strong limits of similarities", Operator Theory: Advances and Applications, 104(1998), 139-146.
  • D.R. Larson, "Frames and wavelets from an operator-theoretic point of vies", Contemporary Math., 228 (1998), 201-218.
  • E. Ionascu, D.R. Larson and C. Pearcy, "On the unitary systems affiliated with orthonormal wavelet theory in n-dimensions", Journal of Functional Analysis, 157(1998), 413-431.
  • X. Dai, D.R. Larson and D. Speegle, "Wavelet sets in R^n II", Contemporary Math. 216(1998), 15-40.
  • X. Dai, D.R. Larson, and D. Speegle, "Wavelet sets in R^n", J. Fourier Analysis and Applications, 4(1997), 451-456.
  • D.R. Larson and B. Solel, "Structured triangular limit algebras", Proc. London Math. Soc., 75(1997), 177-193.
  • T. Hudson, E. Katsoulis and D.R. Larson, "Extreme points in triangular UHF algebras", Transactions AMS, 349(1997), 3391-3400.
  • W. Gong, D.R. Larson and W. Wogen, "Two results on separating vectors", Indiana Math. Journal, 43(1994), 1159-1165.
  • V. Kaftal, D.R. Larson and G. Weiss, "Quasitriangular subalgebras of semifinite von Neumann algebras are closed", J. Functional Analysis, 107(1992), 387-401.
  • D.R. Larson, "Reflexivity, algebraic reflexivity, and linear interpolation", American J. Mathematics, 110(1988), 283-299.
  • D.R. Larson, "Hyperreflexivity and a dual product construction", Transactions AMS, 294(1986), 79-88.
  • D.R. Larson, "Nest algebras and similarity transformations", Annals of Mathematics, 121(1985), 409-427.
  • F. Gilfeather and D.R. Larson, "Nest subalgebras of von Neumann algebras", Advances in Mathematics, 46(1982), 176-199.
  • A. Hopenwasser and D.R. Larson, "The carrier space of a reflexive operator algebra", Pacific J. Math., 81(1979), 417-434.

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