Richard S Laugesen

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Research Output

2019

BIG career developments for mathematics graduate students

Laugesen, R., Levy, R. & Santosa, F., Apr 2019, In : Notices of the American Mathematical Society. 66, 4, p. 523-524 2 p.

Research output: Contribution to journalComment/debate

Open Access

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

The Robin Laplacian - Spectral conjectures, rectangular theorems

Laugesen, R. S., Dec 1 2019, In : Journal of Mathematical Physics. 60, 12, 5116253.

Research output: Contribution to journalArticle

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

Spectral theory of partial differential equations

Laugesen, R. S., Jan 1 2018, Contemporary Mathematics. American Mathematical Society, p. 23-55 33 p. (Contemporary Mathematics; vol. 720).

Research output: Chapter in Book/Report/Conference proceedingChapter

2017

Math PhD careers: New opportunities emerging amidst crisis

Baryshnikov, Y., DeVille, L. & Laugesen, R., Mar 2017, In : Notices of the American Mathematical Society. 64, 3, p. 260-264 5 p.

Research output: Contribution to journalArticle

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

Triangles and other special domains

Laugesen, R. S. & Siudeja, B. O. A., 2017, Shape optimization and spectral theory. De Gruyter Open, Warsaw, p. 149-200 52 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

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

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

Torsion and ground state maxima: close but not the same

Benson, B. A., Laugesen, R. S., Minion, M. & Siudeja, B. O. A., 2016, In : Bulletin of the Irish Mathematical Society. 78, p. 81-88 8 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

2014

Poisson's equation in nonlinear filtering

Laugesen, R., Mehta, P. G., Meyn, S. P. & Raginsky, M., Jan 1 2014, In : Proceedings of the IEEE Conference on Decision and Control. 2015-February, February, p. 4185-4190 6 p., 7040041.

Research output: Contribution to journalConference article

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

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

Tight frames and rotations: sharp bounds on eigenvalues of the Laplacian

Laugesen, R. S., 2013, AMSI International Conference on Harmonic Analysis and Applications. Austral. Nat. Univ., Canberra, Vol. 45. p. 63-82 20 p. (Proc. Centre Math. Appl. Austral. Nat. Univ.).

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

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

Multivariable feedback particle filter

Yang, T., Laugesen, R. S., Mehta, P. G. & Meyn, S. P., Dec 1 2012, In : Proceedings of the IEEE Conference on Decision and Control. p. 4063-4070 8 p., 6425937.

Research output: Contribution to journalConference article

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

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

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

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

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

A note on constructing affine systems for L2

Bui, H. Q., Kaiblinger, N. & Laugesen, R. S., Nov 1 2008, In : Applied and Computational Harmonic Analysis. 25, 3, p. 400-406 7 p.

Research output: Contribution to journalLetter

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 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

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

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

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