Preprints and Links to Papers
Configuration sets with nonempty interior
by Allan Greenleaf, Alex Iosevich and Krystal Taylor,
Posted July, 2019; submitted.
This article is available as an ArXiv preprint .
Existence of similar point configurations in thin subsets of R^d
by Allan Greenleaf, Alex Iosevich and Sevak Mkrtchyan,
Revised Jan. 2019; submitted.
This article is available as an ArXiv preprint .
Microlocal analysis of Doppler Synthetic Aperture Radar
by Raluca Felea, Romina Gaburro, Allan Greenleaf and Cliff Nolan,
Posted May 31, 2018; submitted.
This article is available as an ArXiv preprint .
Inverse Problems and Imaging, to appear.
Bilinear generalized Radon transforms in the plane
by Allan Greenleaf, Alex Iosevich, Ben Krause and Allen Liu
Posted April 4, 2017.
This article is available as an ArXiv preprint .
Propagation and recovery of singularities in the inverse conductivity problem
by Allan Greenleaf, Matti Lassas, M. Santacesaria, S. Siltanen, Gunther Uhlmann
Posted Oct. 6, 2016; Analysis and PDE, 11-8 (2018), 1901-1943.
This article is available as an ArXiv preprint .
Superdimensional Metamaterial Resonators
by Allan Greenleaf, Henrik Kettunen, Yaroslav Kurylev, Matti Lassas, Gunther Uhlmann
SIAM J. Appl. Math. 78 (2018), no. 1, 437-456.
On necklaces inside thin subsets of R^d
by Allan Greenleaf, Alex Iosevich, and Malabika Pramanik
Math. Res. Lett. 24 (2017), no. 2, 347-362..
A group-theoretic viewpoint on Erdos-Falconer problems and the Mattila integral
by Allan Greenleaf, Alex Iosevich, Bochen Liu and Eyvindur Palsson
Rev. Mat. Iberoam. 31 (2015), no. 3, 799-810.
Restricted convolution inequalities, multilinear operators and
applications
by Dan-Andrei Geba, Allan Greenleaf, Alex Iosevich, Eyvindur Palsson and Eric Sawyer
Posted September 28, 2012; Math. Res. Lett., 20 (2013), no.4, 675-694.
This article is available as an ArXiv preprint . See also Comments and errata .
Multilinear generalized Radon transforms and point configurations
by Loukas Grafakos, Allan Greenleaf, Alex Iosevich and Eyvindur Palsson
Posted April 19, 2012; Forum Mathematicum, published online Sept. 2013, DOI: 10.1515/forum-2013-0128.
This article is available as an ArXiv preprint .
On volumes determined by subsets of Euclidean space
by Allan Greenleaf, Alex Iosevich and Mihalis Mourgoglou
Posted October 31, 2011; Forum mathematicum , 27, no. 1, (2015),635 - 646. Published online , June 19, 2013 (subscription req.).
This article is available as an ArXiv preprint .
Cloaked electromagnetic, acoustic and quantum amplifiers via transformation optics
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas, Ulf Leonhardt and Gunther Uhlmann
Proc. National Acad. Sci., published online before print June 14, 2012, doi: 10.1073/pnas.1116864109; print: 26 June 2012, v. 109, no. 26, 10169-10174.
On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry
by Allan Greenleaf and Alex Iosevich
Posted September 14, 2010; revised Oct. 19, 2011. Analysis & PDE 5-2 (2012), 397-409. DOI 10.2140/apde.2012.5.397.
This article is available as an ArXiv preprint .
A multi-dimensional resolution of singularities with applications to
analysis
by Tristan Collins, Allan Greenleaf and Malabika Pramanik
Posted July 4, 2010; American Journal of Mathematics, 135, no. 5, (2013), 1179-1252. Published online, DOI: 10.1353/ajm.2013.0042 (subscription req.).
This article is also available as an ArXiv preprint .
Fourier integral operators with open umbrellas and seismic inversion for cusp caustics
by Raluca Felea and Allan Greenleaf
Posted January 27, 2010; Mathematical Research Letters , 17 (2010), 867-886.
This article is available as an ArXiv preprint .
Cloaking a Sensor via Transformation Optics
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
Posted December 9, 2009; revised Oct. 31, 2010. Phys. Rev. E 83, 016603 (2011) .
This article is available as an ArXiv preprint .
An FIO calculus for marine seismic imaging, II: Sobolev estimates
by Raluca Felea, Allan Greenleaf and Malabika Pramanik
A preliminary version is available as an
ArXiv preprint .
Approximate quantum and acoustic cloaking
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
Posted December 9, 2008; to appear, J. Spectral Theory
This article is available as an
Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
[survey article]
Invisibility and inverse problems
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
[survey article]
Approximate quantum cloaking and almost trapped states
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
Originally posted as an ArXiv preprint June 1, 2008; revised August 19, 2008.
Isotropic transformation optics: approximate acoustic and quantum cloaking
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
Originally posted as an ArXiv preprint May 31, 2008; revised August 1, 2008.
Comment on "Scattering Theory Derivation of a 3D Acoustic Cloaking Shell"
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
Posted January 22, 2008.
This article is available as an
Improvement of cylindrical cloaking with the SHS lining
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
Posted July 9, 2007; revised Sept. 14, 2007.
Electromagnetic wormholes via handlebody constructions
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
Posted April 6, 2007.
This article is available as an
Electromagnetic wormholes and virtual magnetic monopoles from metamaterials
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
Posted March 21, 2007; revised August 14, 2007.
This article is also available in preliminary form as a
Full-wave invisibility of active devices at all frequencies
by Allan Greenleaf, Yaroslav Kurylev, Matti Lassas and Gunther Uhlmann
Posted November 7, 2006; revised January 11, 2007; March 16, 2007.
This article is also available in preliminary form as an
Average decay estimates for Fourier transforms of measures supported on curves
by Luca Brandolini, Giacomo Gigante, Allan Greenleaf,
Alexander Iosevich, Andreas Seeger and Giancarlo Travaglini
Posted July 4, 2006; revised, July 13, 2006; Journal of Geometric Analysis, 17 (2007), 15-40.
This article is available as an
An FIO calculus for marine seismic imaging:
folds and cross caps
by Raluca Felea and Allan Greenleaf
A preliminary version of this article is available as an
Oscillatory integral operators with homogeneous
polynomial phases in several variables
by Allan Greenleaf, Malabika Pramanik and Wan Tang
Posted May 3, 2006; revised October 26, 2006; Jour. of Functional Analysis , 244 (2007), 444-487.
This article is available as an
$L^p - L^{p'}$ estimates for overdetermined Radon transforms
by Luca Brandolini, Allan Greenleaf and Giancarlo Travaglini
Posted December 16, 2003; revised January 31, 2005.
Transactions of the A.M.S, 359 (2007), 2559-2575.
This article is available as a
On nonuniqueness for Calderon's inverse problem
by Allan Greenleaf, Matti Lassas and Gunther Uhlmann
Posted March 3, 2003; revised June 30, 2003.
Mathematical Research Letters, 10 (2003), 685-693.
This article is available as a
Anisotropic conductivities that cannot be detected by EIT
by Allan Greenleaf, Matti Lassas and Gunther Uhlmann
Posted January 3, 2003; revised January 27, 2003.
Physiological Measurement, special issue, Proceedings of Mummy Range Workshop on EIT, 24 (2003), 413-419.
This article is available as a
The Calderon problem for conormal potentials, I:
Global uniqueness and reconstruction
by Allan Greenleaf, Matti Lassas and Gunther Uhlmann
Posted December 12, 2001; final revision, October 4, 2002
Communications on Pure and Applied Mathematics, 56 (2003), no. 3, 328-352.
This article is available as a
Oscillatory and Fourier integral operators
with degenerate canonical relations
by Allan Greenleaf and Andreas Seeger
Posted July 13, 2001; final revision, February 21, 2002.
Appeared in the Proceedings of the El Escorial 2000 Conference
(mostly expository, but contains some new material)
This article is available as a
Oscillatory integral operators
with low-order degeneracies
by Allan Greenleaf and Andreas Seeger
Posted July 26, 2000; final revision posted February 20, 2002
Appeared in Duke Math. Jour., 112 (2002), 397-420.
This article is available as a
Local uniqueness for the Dirichlet-to-Neumann
map via the two-plane transform
by Allan Greenleaf and Gunther Uhlmann
Duke Math. Jour., 108 (2001), 599-617.
This article is available as a
Characteristic space-time estimates
for the wave equation
by Allan Greenleaf and Gunther Uhlmann
Posted September 1, 1999; revised November 15, 1999
Mathematische Zeitschrift, 236 (2001), 113-131.
This article is available in PostScript format.
Estimates for generalized Radon transforms in
three and four dimensions
by Allan Greenleaf, Andreas Seeger and Stephen Wainger
Posted January 20, 1999
survey article, appeared in Contemporary Mathematics, v. 251 , Proceedings of the Ehrenpreis Conference
This article is available in PostScript format.
On X-ray transforms for rigid line complexes
and integrals over curves in R^4
by Allan Greenleaf, Andreas Seeger and Stephen Wainger
Posted January 30, 1998
appeared in Proc. Amer. Math. Soc. 127(1999), 3533-3545.
This article is available in PostScript format.
On oscillatory integral operators with folding
canonical relations
by Allan Greenleaf and Andreas Seeger
appeared in Studia Mathematica 132(2) (1999), 125-139.
Fourier integral operators with cusp singularities
by Allan Greenleaf and Andreas Seeger
appeared in: American Journal of Mathematics 120 (1998), 1077-1119.
Acknowledgment and Disclaimer This material is based upon work supported by the National Science Foundation under various grants, including DMS-9877101, DMS-0138167, DMS-0551894 and DMS-0853892. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Preprints may differ from final published versions.
• This page was last revised on December 12, 2010.