HR job title
- Professor
- Contact Info
- 1 979 845 3261
Larson, David Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
I specialize in the areas of Functional Analysis, Operator Algebras, Operator Theory, and Frame Theory.
- Overview
- Publications
- Teaching
- Works By Students
- Background
- Contact
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Overview
Publications
selected publications
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academic article
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Street, R. L.
(2023).
From the Editors. Patient Education and Counseling.
113(3), 107799-107799.
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Larson, D., & Scholze, S.
(2017).
Nilpotent bridging for unions of two bases. Linear Algebra and Its Applications.
529, 164-184.
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Larson, D., & Scholze, S.
(2015).
Signal Reconstruction from Frame and Sampling Erasures. 21(5), 1146-1167.
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Hotovy, R., Larson, D. R., & Scholze, S.
(2015).
BINARY FRAMES. HOUSTON JOURNAL OF MATHEMATICS.
41(3), 875-899.
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Han, D., Larson, D. R., Liu, B., & Liu, R.
(2014).
Dilations for systems of imprimitivity acting on Banach spaces. Journal of Functional Analysis.
266(12), 6914-6937.
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Han, D., Jing, W. u., Larson, D., Li, P., & Mohapatra, R. N.
(2013).
Dilation of Dual Frame Pairs in Hilbert C*-Modules. 63(1-2), 241-250.
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Larson, D. R., & Szafraniec, F. H.
(2013).
Framings and dilations. Acta Universitatis Szegediensis: Acta Scientiarum Mathematicarum.
79(3-4), 529-543.
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Djordjevi, S. V., Harte, R. E., & Larson, D. R.
(2012).
Partially hyper invariant subspaces. Operators and Matrices.
6(1), 97-106.
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Dutkay, D. E., Larson, D. R., & Silvestrov, S.
(2011).
IRREDUCIBLE WAVELET REPRESENTATIONS AND ERGODIC AUTOMORPHISMS ON SOLENOIDS. Operators and Matrices.
5(2), 201-219.
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Giol, J., Kovalev, L. V., Larson, D. R., Nguyen, N., & Tener, J. E.
(2011).
Projections and idempotents with fixed diagonal and the homotopy problem for unit tight frames. Operators and Matrices.
5(1), 139-155.
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Larson, D. R., Massopust, P., & Olafsson, G.
(2009).
Three-Way Tiling Sets in Two Dimensions. Acta Applicandae Mathematicae.
108(3), 529-546.
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Kaftal, V., Larson, D. R., & Zhang, S.
(2009).
OPERATOR-VALUED FRAMES. 361(12), 6349-6385.
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Dutkay, D., Han, D., & Larson, D.
(2009).
A duality principle for groups. Journal of Functional Analysis.
257(4), 1133-1143.
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Han, D., & Larson, D.
(2008).
Frame duality properties for projective unitary representations. 40(4), 685-695.
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Han, D., Jing, W. u., Larson, D., & Mohapatra, R. N.
(2008).
Riesz bases and their dual modular frames in Hilbert C-modules. Journal of Mathematical Analysis and Applications.
343(1), 246-256.
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Han, D., Larson, D., Pan, Z., & Wogen, W.
(2007).
Separating vectors for operators. Proceedings of the American Mathematical Society.
135(3), 713-723.
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Han, D., Larson, D., Pan, Z., & Wogen, W.
(2004).
Extensions of operators. 53(4), 1151-1169.
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Harte, R., & Larson, D.
(2004).
Skew exactness perturbation. Proceedings of the American Mathematical Society.
132(9), 2603-2611.
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Dykema, K., Freeman, D., Kornelson, K., Larson, D., Ordower, M., & Weber, E.
(2004).
Ellipsoidal tight frames and projection decompositions of operators. Illinois Journal of Mathematics.
48(2), 477-489.
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Aldroubi, A., Larson, D., Tang, W., & Weber, E.
(2004).
Geometric aspects of frame representations of abelian groups. Transactions of the American Mathematical Society.
356(12), 4767-4786.
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Hadwin, D., Larson, D. R., & Timotin, D.
(2004).
Approximation theory and matrix completions. Linear Algebra and Its Applications.
377(1-3), 165-179.
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Hadwin, D., & Larson, D. R.
(2003).
Completely rank-nonincreasing linear maps. 199(1), 210-227.
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Azoff, E. A., Ionascu, E. J., Larson, D. R., & Pearcy, C. M.
(2003).
Direct paths of wavelets. HOUSTON JOURNAL OF MATHEMATICS.
29(3), 737-756.
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Frank, M., & Larson, D. R.
(2002).
Frames in Hilbert C*-modules and C*-algebras. Journal of Operator Theory.
48(2), 273-314.
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Han, D., & Larson, D.
(2001).
Wandering vector multipliers for unitary groups. Transactions of the American Mathematical Society.
353(8), 3347-3370.
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Larson, D. R., Tang, W., & Weber, E.
(2001).
Riesz wavelets and multiresolution structures. Proceedings of SPIE.
4478, 254-262.
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Han, D. G., & Larson, D. R.
(2000).
Frames, bases and group representations. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY.
147(697), 1-94.
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Gabardo, J. P., Han, D., & Larson, D. R.
(2000).
Gabor frames and operator algebras. Proceedings of SPIE.
4119(1), 337-345.
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Frank, M., & Larson, D. R.
(2000).
Modular frames for Hilbert C*-modules and symmetric approximation of frames. Proceedings of SPIE.
4119(1), 325-336.
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Han, D., & Larson, D. R.
(2000).
Frames, bases and group representations. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY.
147(697), 0-0.
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Ionascu, E. J., Larson, D. R., & Pearcy, C. M.
(1998).
On Wavelet Sets. Journal of Fourier Analysis and Applications.
4(6), 710-721.
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Dai, X., & Larson, D. R.
(1998).
Wandering vectors for unitary systems and orthogonal wavelets. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY.
1-68.
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Ionascu, E. J., Larson, D. R., & Pearcy, C. M.
(1998).
On the unitary systems affiliated with orthonormal wavelet theory in n-dimensions. Journal of Functional Analysis.
157(2), 413-431.
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Dai, X., & Larson, D. R.
(1998).
Wandering vectors for unitary systems and orthogonal wavelets. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY.
134(640), 0-0.
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Hudson, T. D., Katsoulis, E. G., & Larson, D. R.
(1997).
Extreme points in triangular UHF algebras. Transactions of the American Mathematical Society.
349(8), 3391-3400.
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Larson, D. R., & Solel, B.
(1997).
Structured triangular limit algebras. Proceedings of the London Mathematical Society.
75(1), 177-193.
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Dai, X. D., Larson, D. R., & Speegle, D. M.
(1997).
Wavelet sets in R-n. Journal of Fourier Analysis and Applications.
3(4), 451-456.
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Larson, D. R., & Wogen, W. R.
(1996).
Extensions of bitriangular operators. Integral Equations and Operator Theory.
25(2), 216-223.
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LARSON, D. R., & WOGEN, W. R.
(1994).
EXTENSIONS OF NORMAL OPERATORS. 20(3), 325-334.
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Kaftal, V., Larson, D., & Weiss, G.
(1992).
Quasitriangular subalgebras of semifinite von Neumann algebras are closed. Journal of Functional Analysis.
107(2), 387-401.
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LARSON, D. R., & PITTS, D. R.
(1991).
IDEMPOTENTS IN NEST-ALGEBRAS. Journal of Functional Analysis.
97(1), 162-193.
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LARSON, D. R., & WOGEN, W. R.
(1990).
REFLEXIVITY PROPERTIES OF T + O. Journal of Functional Analysis.
92(2), 448-467.
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ALLEN, G. D., LARSON, D. R., WARD, J. D., & WOODWARD, G.
(1990).
SIMILARITY OF NESTS IN L1. Journal of Functional Analysis.
92(1), 49-76.
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Kraus, J., & Larson, D. R.
(1986).
Reflexivity and Distance Formulae. Proceedings of the London Mathematical Society.
s3-53(2), 340-356.
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Larson, D. R.
(1986).
Hyperreflexivity and a dual product construction. Transactions of the American Mathematical Society.
294(1), 79-88.
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Gilfeather, F., Hopenwasser, A., & Larson, D. R.
(1984).
Reflexive algebras with finite width lattices: Tensor products, cohomology, compact perturbations. Journal of Functional Analysis.
55(2), 176-199.
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Gilfeather, F., & Larson, D. R.
(1983).
Commutants modulo the compact operators of certain CSL algebras II. Integral Equations and Operator Theory.
6(1), 345-356.
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Gilfeather, F., & Larson, D. R.
(1982).
Structure in Reflexive Subspace Lattices. Journal of London Mathematical Society.
s2-26(1), 117-131.
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Gilfeather, F., & Larson, D. R.
(1982).
Nest-subalgebras of von Neumann algebras. Advances in Mathematics.
46(2), 171-199.
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Larson, D. R.
(1982).
A solution to a problem of J. R. Ringrose. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
7(1), 243-246.
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Hopenwasser, A., & Larson, D.
(1979).
The carrier space of a reflexive operator algebra. PACIFIC JOURNAL OF MATHEMATICS.
81(2), 417-434.
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Larson, D. R.
(1979).
On the structure of certain reflexive operator algebras. Journal of Functional Analysis.
31(3), 275-292.
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Street, R. L.
(2023).
From the Editors. Patient Education and Counseling.
113(3), 107799-107799.
-
conference paper
-
Han, D., & Larson, D. R.
(2009).
On the Orthogonality of Frames and the Density and Connectivity of Wavelet Frames. Acta Applicandae Mathematicae.
211-222.
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Chyba, T. H., Zenker, T., McCray, C. L., Lee, H. R., Elivert, R., Thomas, B., ... Fishman, J.
(1999).
Measurements of tropospheric ozone with a compact UV DIAL system. Proceedings of SPIE.
80-86.
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Han, D., & Larson, D. R.
(2009).
On the Orthogonality of Frames and the Density and Connectivity of Wavelet Frames. Acta Applicandae Mathematicae.
211-222.
Teaching
teaching activities
- MATH409 Analysis On The Real Line Instructor
- MATH423 Linear Algebra Ii Instructor
- MATH446 Principles Of Analysis I Instructor
- MATH447 Integration & Measure Theory Instructor
- MATH447 Princ Of Analysis Ii Instructor
- MATH482 Hnr-research Seminar Instructor
- MATH491 Hnr-research Instructor
- MATH491 Research Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
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Henderson, Troy Lee, IV (2006-10). Causal equivalence of frames.
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Nguyen, Nga Quynh (2009-05). Surgery on frames.
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Scholze, Sam Louis (2017-07). Signal Reconstruction from Frame and Sampling Erasures.
Background
education and training
awards and honors
- Fellow, conferred by American Mathematical Society - (Providence, Rhode Island, United States), 2015
Contact
first name
- David
has last name
- Larson
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- d-larson@tamu.edu