Richard S Laugesen

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1993

Extremal problems involving logarithmic and green capacity

Laugesen, R. S., May 1993, In : Duke Mathematical Journal. 70, 2, p. 445-480 36 p.

Research output: Contribution to journalArticle

1994

Conformal mapping of long quadrilaterals and thick doubly connected domains

Laugesen, R., Dec 1 1994, In : Constructive Approximation. 10, 4, p. 523-554 32 p.

Research output: Contribution to journalArticle

1996

Fundamental tones and buckling loads of clamped plates

Ashbaugh, M. S. & Laugesen, R. S., 1996, In : Annali della Scuola normale superiore di Pisa - Classe di scienze. 23, 2, p. 383-402 20 p.

Research output: Contribution to journalArticle

Injectivity can fail for higher-dimensional harmonic extensions

Laugesen, R. S., 1996, In : Complex Variables Theory Appl.. 28, 4, p. 357-369 13 p.

Research output: Contribution to journalArticle

The argument principle for harmonic functions

Duren, P., Hengartner, W. & Laugesen, R. S., 1996, In : American Mathematical Monthly. 103, 5, p. 411-415 5 p.

Research output: Contribution to journalArticle

1997

Planar harmonic maps with inner and Blaschke dilatations

Laugesen, R. S., Aug 1997, In : Journal of the London Mathematical Society. 56, 1, p. 37-48 12 p.

Research output: Contribution to journalArticle

1998

Eigenvalues of Laplacians with mixed boundary conditions, under conformal mapping

Laugesen, R. S., 1998, In : Illinois Journal of Mathematics. 42, 1, p. 19-39 21 p.

Research output: Contribution to journalArticle

Open Access

Eigenvalues of the Laplacian inhomogeneous membranes

Laugesen, R. S., Apr 1998, In : American Journal of Mathematics. 120, 2, p. 305-344 40 p.

Research output: Contribution to journalArticle

Eigenvalues of the Laplacian on inhomogeneous membranes

Laugesen, R. S., 1998, In : American Journal of Mathematics. 120, 2, p. 305-344 40 p.

Research output: Contribution to journalArticle

Extremals for Eigenvalues of Laplacians under Conformal Mapping

Laugesen, R. S. & Morpurgo, C., May 10 1998, In : Journal of Functional Analysis. 155, 1, p. 64-108 45 p.

Research output: Contribution to journalArticle

2000

Binary forms, equiangular polygons and harmonic measure

Bean, M. A. & Laugesen, R. S., Jan 1 2000, In : Rocky Mountain Journal of Mathematics. 30, 1, p. 15-62 48 p.

Research output: Contribution to journalArticle

Eigenvalues of strings and cylinders with variable mass density

Laugesen, R. S., Apr 2000, In : Communications in Analysis and Geometry. 8, 2, p. 393-443 51 p.

Research output: Contribution to journalArticle

Linear stability of steady states for thin film and Cahn-Hilliard type equations

Laugesen, R. S. & Pugh, M. C., Jan 1 2000, In : Archive for Rational Mechanics and Analysis. 154, 1, p. 3-51 49 p.

Research output: Contribution to journalArticle

Properties of steady states for thin film equations

Laugesen, R. S. & Pugh, M. C., Jan 1 2000, In : European Journal of Applied Mathematics. 11, 3, p. 293-351 59 p.

Research output: Contribution to journalArticle

2001

Completeness of Orthonormal Wavelet Systems for Arbitrary Real Dilations

Laugesen, R. S., Nov 2001, In : Applied and Computational Harmonic Analysis. 11, 3, p. 455-473 19 p.

Research output: Contribution to journalArticle

2002

A characterization of the higher dimensional groups associated with continuous wavelets

Laugesen, R. S., Weaver, N., Weiss, G. L. & Wilson, E. N., Dec 1 2002, In : Journal of Geometric Analysis. 12, 1, p. 89-102 14 p.

Research output: Contribution to journalArticle

Energy levels of steady states for thin-film-type equations

Laugesen, R. S. & Pugh, M. C., Jul 1 2002, In : Journal of Differential Equations. 182, 2, p. 377-415 39 p.

Research output: Contribution to journalArticle

Heteroclinic orbits, mobility parameters and stability for thin film type equations

Laugesen, R. S. & Pugh, M. C., Dec 1 2002, In : Electronic Journal of Differential Equations. 2002, p. XCXCIII-XCXCIV

Research output: Contribution to journalArticle

Translational averaging for completeness, characterization and oversampling of wavelets

Laugesen, R. S., 2002, In : Collectanea Mathematica. 53, 3, p. 211-249 39 p.

Research output: Contribution to journalArticle

2003

Potential Theory of the Farthest-Point Distance Function

Laugesen, R. S. & Pritsker, I. E., Sep 2003, In : Canadian Mathematical Bulletin. 46, 3, p. 373-387 15 p.

Research output: Contribution to journalArticle

2005

Affine systems that span lebesgue spaces

Bui, H. Q. & Laugesen, R. S., Oct 1 2005, In : Journal of Fourier Analysis and Applications. 11, 5, p. 533-556 24 p.

Research output: Contribution to journalArticle

Another way to say subsolution: The maximum principle and sums of Green functions

Laugesen, R. S. & Watson, N. A., Jan 1 2005, In : Mathematica Scandinavica. 97, 1, p. 127-153 27 p.

Research output: Contribution to journalArticle

New dissipated energies for the thin fluid film equation

Laugesen, R. S., Sep 1 2005, In : Communications on Pure and Applied Analysis. 4, 3, p. 613-634 22 p.

Research output: Contribution to journalArticle

2007

On affine frames with transcendental dilations

Laugesen, R. S., Jan 1 2007, In : Proceedings of the American Mathematical Society. 135, 1, p. 211-216 6 p.

Research output: Contribution to journalArticle

On convex surfaces with minimal moment of inertia

Freitas, P., Laugesen, R. S. & Liddell, G. F., Jan 1 2007, In : Journal of Mathematical Physics. 48, 12, 122902.

Research output: Contribution to journalArticle

2008

Affine synthesis onto lebesgue and hardy spaces

Bui, H. Q. & Laugesen, R. S., Dec 16 2008, In : Indiana University Mathematics Journal. 57, 5, p. 2203-2233 31 p.

Research output: Contribution to journalArticle

Affine synthesis onto L p when 0 < p≤ 1

Laugesen, R. S., Apr 1 2008, In : Journal of Fourier Analysis and Applications. 14, 2, p. 235-266 32 p.

Research output: Contribution to journalArticle

Approximation and spanning in the hardy space, by affine systems

Bui, H. Q. & Laugesen, R. S., Aug 1 2008, In : Constructive Approximation. 28, 2, p. 149-172 24 p.

Research output: Contribution to journalArticle

Sobolev spaces and approximation by affine spanning systems

Bui, H. Q. & Laugesen, R. S., Jun 1 2008, In : Mathematische Annalen. 341, 2, p. 347-389 43 p.

Research output: Contribution to journalArticle

2009

A computable fourier condition generating alias-free sampling lattices

Lu, Y. M., Do, M. N. & Laugesen, R. S., Jan 1 2009, In : IEEE Transactions on Signal Processing. 57, 5, p. 1768-1782 15 p.

Research output: Contribution to journalArticle

Gabor dual spline windows

Laugesen, R. S., Sep 1 2009, In : Applied and Computational Harmonic Analysis. 27, 2, p. 180-194 15 p.

Research output: Contribution to journalArticle

Maximizing Neumann fundamental tones of triangles

Laugesen, R. S. & Siudeja, B. A., Dec 24 2009, In : Journal of Mathematical Physics. 50, 11, 112903.

Research output: Contribution to journalArticle

2010

Approximately dual frames in Hilbert spaces and applications to Gabor frames

Christensen, O. & Laugesen, R. S., Dec 1 2010, In : Sampling Theory in Signal and Image Processing. 9, 1-3, p. 77-89 13 p.

Research output: Contribution to journalArticle

Minimizing Neumann fundamental tones of triangles: An optimal Poincaré inequality

Laugesen, R. S. & Siudeja, B. A., Jul 1 2010, In : Journal of Differential Equations. 249, 1, p. 118-135 18 p.

Research output: Contribution to journalArticle

2011

Dirichlet eigenvalue sums on triangles are minimal for equilaterals

Laugesen, R. S. & Siudeja, B. A., Dec 1 2011, In : Communications in Analysis and Geometry. 19, 5, p. 855-885 31 p.

Research output: Contribution to journalArticle

Frequency-Scale Frames and the Solution of the Mexican Hat Problem

Bui, H. Q. & Laugesen, R. S., Apr 1 2011, In : Constructive Approximation. 33, 2, p. 163-189 27 p.

Research output: Contribution to journalArticle

Moment inequalities for equilibrium measures in the plane

Baernstein, A., Laugesen, R. S. & Pritske, I. E., Jan 2011, In : Pure and Applied Mathematics Quarterly. 7, 1, p. 51-86 36 p.

Research output: Contribution to journalArticle

Rebuttal of Donnelly's paper on the spectral gap

Ashbaugh, M. S., Henrot, A. & Laugesen, R. S., Oct 1 2011, In : Mathematische Zeitschrift. 269, 1-2, p. 5-7 3 p.

Research output: Contribution to journalArticle

Sums of Laplace eigenvalues: Rotations and tight frames in higher dimensions

Laugesen, R. S. & Siudeja, B. A., Sep 23 2011, In : Journal of Mathematical Physics. 52, 9, 093703.

Research output: Contribution to journalArticle

Sums of Laplace eigenvalues-rotationally symmetric maximizers in the plane

Laugesen, R. S. & Siudeja, B. A., Mar 15 2011, In : Journal of Functional Analysis. 260, 6, p. 1795-1823 29 p.

Research output: Contribution to journalArticle

Wavelets in Littlewood-Paley space, and Mexican hat completeness

Bui, H. Q. & Laugesen, R. S., Mar 1 2011, In : Applied and Computational Harmonic Analysis. 30, 2, p. 204-213 10 p.

Research output: Contribution to journalArticle

2012

Neumann eigenvalue sums on triangles are (Mostly) minimal for equilaterals

Laugesen, R. S., Pan, Z. C. & Son, S. S., Apr 2012, In : Mathematical Inequalities and Applications. 15, 2, p. 381-394 14 p.

Research output: Contribution to journalArticle

Sums of Magnetic Eigenvalues are Maximal on Rotationally Symmetric Domains

Laugesen, R. S., Liang, J. & Roy, A., May 1 2012, In : Annales Henri Poincare. 13, 4, p. 731-750 20 p.

Research output: Contribution to journalArticle

Uniqueness for the continuous wavelet transform

Bui, H-Q. & Laugesen, R. S., 2012, In : Far East J. Appl. Math.. 65, 1, p. 1-11 11 p.

Research output: Contribution to journalArticle

2013

Explicit interpolation bounds between hardy space and L2

Bui, H. Q. & Laugesen, R. S., Oct 1 2013, In : Journal of the Australian Mathematical Society. 95, 2, p. 158-168 11 p.

Research output: Contribution to journalArticle

Wavelet Frame Bijectivity on Lebesgue and Hardy Spaces

Bui, H. Q. & Laugesen, R. S., Mar 18 2013, In : Journal of Fourier Analysis and Applications. 19, 2, p. 376-409 34 p.

Research output: Contribution to journalArticle

2014

Sharp spectral bounds on starlike domains

Laugesen, R. S. & Siudeja, B. A., Jan 1 2014, In : Journal of Spectral Theory. 4, 2, p. 309-347 39 p.

Research output: Contribution to journalArticle

2015

Magnetic spectral bounds on starlike plane domains

Laugesen, R. S. & Siudeja, B. A., Jul 1 2015, In : ESAIM - Control, Optimisation and Calculus of Variations. 21, 3, p. 670-689 20 p.

Research output: Contribution to journalArticle

Poisson's equation in nonlinear filtering

Laugesen, R. S., Mehta, P. G., Meyn, S. P. & Raginsky, M., Jan 1 2015, In : SIAM Journal on Control and Optimization. 53, 1, p. 501-525 25 p.

Research output: Contribution to journalArticle

2016

Multivariable feedback particle filter

Yang, T., Laugesen, R. S., Mehta, P. G. & Meyn, S. P., Sep 1 2016, In : Automatica. 71, p. 10-23 14 p.

Research output: Contribution to journalArticle