Christoph Thiele
Professor
Link to Math Sci Net (requires access)
Link to Arxiv.
(I am not the unique C.Thiele there)
Sected preprints and papers:
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(with F. Di Plinio )
"Endpoint bounds for the bilinear Hilbert transform"
arxiv 1403.5978 ,
To appear in Transactions AMS
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(with Y. Do )
"Lp theory for outer measures and two themes of Lennart Carleson united"
arxiv 1309.0945 ,
To appear in Bulletin AMS
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(with V. Kovac )
"A T(1) theorem for entangled multilinear dyadic Calderón-Zygmund operators "
arxiv 1305.4752 ,
To appear in Illinois J. of Math.
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(with T. Tao )
"Nonlinear Fourier analysis" (from Park City Lecture Notes 2003)
arxiv 1201.5129 ,
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(with M. Bateman )
"Lp estimates for the Hilbert transforms along a one variable vector field"
arxiv 1109.6396 ,
To appear in Analysis and PDE
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(with M. Reguera )
"The Hilbert transform does not map L1(Mw) to L{1,infty}(w)"
Math. Res. Lett. 19 (2012), no. 1, 1--7.
arxiv:1011.1767 ,
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(with Y. Do, C. Muscalu )
"Variational estimates for paraproducts"
Rev. Mat. Iberoamericana 28 (2012), no. 3, 857--878.
arxiv:1009.5187 ,
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(with R. Oberlin )
"New uniform bounds for a Walsh model of the bilinear Hilbert transform."
to appear IUMJ arxiv:1004.4019 ,
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(with F. Nazarov, R. Oberlin, )
"A Calderon Zygmund decomposition for multiple frequencies
and an application to an extension of a lemma of Bourgain."
Math. Res. Lett. 17 (2010), no. 3, 529--545.
arxiv:0912.3010 ,
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(with R. Oberlin, A. Seeger, T. Tao, J. Wright )
"A variation norm Carleson theorem"
J. Eur. Math. Soc. (JEMS) 14 (2012), no. 2, 421--464
arxiv:0910.1555 ,
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(with C. Demeter, M. Pramanik)
"Multilinear singular operators with fractional rank"
Pacific J. of Mathematics 246 (2010) no. 2, 293--324
arxiv:0904.1253 ,
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(with C. Demeter)
"On the two dimensional Bilinear Hilbert Transform"
Amer. J. Math. 132 (2010), no. 1, 201--256.
arxiv:0803.1268 ,
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(with C. Demeter, M. Lacey, T. Tao )
"The Walsh model for M2* Carleson"
Rev. Mat. Iberoam. 24 (2008), no. 3, 721--744.
arxiv:0712.1295 ,
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(with C. Muscalu, T. Tao)
"Multilinear operators associated to simplexes of arbitrary length"
arxiv:0712.2420 ,
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(with A. Benyi, C. Demeter, A. Nahmod, R. Torres, F. Villarroya)
"Modulation invariant bilinear T(1) theorem"
J. Anal. Math. 109 (2009), 279--352.
arxiv:0710.0973 ,
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"Applications of Time-frequency analysis in Ergodic Theory"
Survey article for Oberwolfach meeting 2008
pdf file ,
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(with C. Demeter, M. Lacey, T. Tao)
"Breaking the duality in the return times theorem."
Duke Math. J. 143 (2008), no. 2, 281--355.
math/0601455
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(with C. Demeter, T. Tao) "Maximal multilinear operators"
Trans. Amer. Math. Soc. 360 (2008), no. 9, 4989--5042.
math.CA/0518051
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(with D. Müller) "Wave equation and multiplier estimates
on ax+b groups."
Studia Math. 179 (2007), no. 2, 117--148.
math.CA/0403476
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(with C. Muscalu, J. Pipher and T. Tao)
"Multi-parameter paraproducts"
Rev. Mat. Iberoam. 22 (2006), no. 3, 963--976.
math.CA/0411607
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(with C. Muscalu and T. Tao) "The bi-Carleson operator"
Geom. Funct. Anal. 16 (2006), no. 1, 230--277.
math.CA/0409406
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"Wave Packet Analysis"
CBMS Regional Conference Series in Mathematics, 105. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2006. vi+86 pp. ISBN: 0-8218-3661-7
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(with M. Christ, X. Li and T. Tao) "On multilinear oscillatory integrals,
nonsingular and singular."
. Duke Math. J. 130 (2005), no. 2, 321--351.
math.CA/0311039
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(with C. Muscalu J. Pipher, and T. Tao) "Bi-parameter paraproducts"
Acta Math. 193 (2004), no. 2, 269--296.
math.CA/0310367
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(with C. Muscalu and T. Tao) "Lp estimates for the biest. II. The Fourier case."
Math. Ann. 329 (2004), no. 3, 427--461.
math.CA/0205139
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(with C. Muscalu and T. Tao) "A Carleson type theorem for a Cantor group
model of the scattering transform"
Nonlinearity 16 (2003), no. 1, 219--246.
math.CA/0205139
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(with P. Auscher, S. Hofmann, C. Muscalu, T. Tao)
"Carleson measures, trees, extrapolation, and T(b) theorems"
Publ. Mat. 46 (2002), no. 2, 257--325.
math.CA/0108138
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"Singular integrals meet modulation invariance"
Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 721--732, Higher Ed. Press, Beijing, 2002.
pdf file ,
dvi file ,
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(with C. Muscalu and T. Tao) " A discrete model for the bi-Carleson operator. "
Geom. Funct. Anal. 12 (2002), no. 6, 1324--1364.
math.CA/0201060
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(with C. Muscalu and T. Tao) " Lp estimates for the biest I.
The Walsh case"
Math. Ann. 329 (2004), no. 3, 401--426.
math.CA/0102083
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(with C. Muscalu and T. Tao) " Lp estimates for the biest II.
The Fourier case"
Math. Ann. 329 (2004), no. 3, 427--461.
math.CA/0102084
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(with C. Muscalu and T. Tao) "A counterexample to a multilinear endpoint
question of Christ and Kiselev" ,
Math. Res. Lett. 10 (2003), no. 2-3, 237--246.
math.CA/0108156
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(with C. Muscalu and T. Tao) "Uniform estimates on multi-linear operators
with modulation symmetry. Dedicated to the memory of Tom Wolff." ,
J. Anal. Math. 88 (2002), 255--309.
math.CA/0107059
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(with C. Muscalu and T. Tao) "Uniform estimates on paraproducts. Dedicated to the memory of Thomas H. Wolff." ,
J. Anal. Math. 87 (2002), 369--384.
math.CA/0106092
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"Multilinear singular integrals" ,
survey article El Escorial 2000, preprint Mar 2001,
pdf file ,
dvi file ,
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"A uniform estimate",
Ann. of Math. (2) 156 (2002), no. 2, 519--563.
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"A uniform estimate for the quartile operator",
Rev. Mat. Iberoamericana 18 (2002), no. 1, 115--134.
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(with C. Muscalu and T. Tao) "Multi-linear operators given by
singular multipliers",
J. Amer. Math. Soc. 15 (2002), no. 2, 469--496 (electronic).
math.CA/9910039
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(with D. Mueller), "Normal forms of involutive complex Hamiltonian matrices under the real symplectic group."
J. Reine Angew. Math. 513 (1999), 97--114.
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(with M. Lacey) "A proof of boundedness of the Carleson operator"
Revised June 2000 from previous "Convergence of Fourier series",
Math.Res. Lett 7 (2000) 361-370
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"On the Bilinear Hilbert Transform",
Habilitationsschrift,
Universität Kiel, 1998 ps file
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"Time-Frequency Analysis in the Discrete Phase Plane",
PhD thesis Yale 1995,
ps file
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