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1993 …2019

Research output per year

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Research Output

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2019

Pólya’s conjecture fails for the fractional Laplacian

Kwaśnicki, M., Laugesen, R. S. & Siudeja, B. A., Jan 1 2019, In : Journal of Spectral Theory. 9, 1, p. 127-135 9 p.

Research output: Contribution to journalArticle

2018

Optimal stretching for lattice points and eigenvalues

Laugesen, R. S. & Liu, S., Jan 1 2018, In : Arkiv for Matematik. 56, 1, p. 111-145 35 p.

Research output: Contribution to journalArticle

Shifted lattices and asymptotically optimal ellipses

Laugesen, R. S. & Liu, S., 2018, In : The Journal of Analysis. 26, 1, p. 71-102 32 p.

Research output: Contribution to journalArticle

2017

Optimal stretching for lattice points under convex curves

Ariturk, S. & Laugesen, R. S., Jan 1 2017, In : Portugaliae Mathematica. 74, 2, p. 91-114 24 p.

Research output: Contribution to journalArticle

2016

Steklov Eigenvalues and Quasiconformal Maps of Simply Connected Planar Domains

Girouard, A., Laugesen, R. S. & Siudeja, B. A., Feb 1 2016, In : Archive for Rational Mechanics and Analysis. 219, 2, p. 903-936 34 p.

Research output: Contribution to journalArticle

2015

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

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

2013

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

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

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

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

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

2009

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

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

2007

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

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

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

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

2001

Completeness of Orthonormal Wavelet Systems for Arbitrary Real Dilations

Laugesen, R. S., Nov 1 2001, In : Applied and Computational Harmonic Analysis. 11, 3, p. 455-473 19 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

1998

Eigenvalues of Laplacians with mixed boundary conditions, under conformal mapping

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

Research output: Contribution to journalArticle

Eigenvalues of the Laplacian inhomogeneous membranes

Laugesen, R. S., Apr 1 1998, In : American Journal of Mathematics. 120, 2, p. 305-344 40 p.

Research output: Contribution to journalArticle