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:

(with D. Oliveira e Silva, P. ZorinKranich)
"Bandlimited maximizers for a Fourier extension inequality on the circle."
1806.06605:
submitted to Experimental Mathematics

(with F. DiPlinio, S. Guo, P. ZorinKranich)
"Square functions for biLipschitz maps and directional operators."
1706.07111:
submitted to JFA

(with O. Saari)
"Lipschitz linearization of the maximal hyperbolic cross multiplier ."
arXiv1701.05093:
submitted to JFAA

"On the first chapter."
arXiv1706.08905:

(with P. Durcik, V. Kovac)
"Powertype cancellation for the simplex Hilbert transform."
arXiv1608.00156:
to appear J. d'Analyse

(with Y. Do, C. Muscalu)
"Variational
estimates for the bilinear iterated Fourier integral."
arXiv:1605.00574
to appear JFA

(with S. Guo)
"Hilbert transforms along Lipschitz direction fields: A lacunary model."
arXiv:1603.03317
to appear Mathematika

(with P. Durcik, V. Kovac, K. Skreb)
"Normvariation of ergodic averages with respect to two commuting transformations."
arXiv:1603.00631
to appear ETDS

(with P. Gressman, D. He, V. Kovac, B.Street, P.L. Yung)
"On a trilinear singular integral form with determinantal kernel."
arXiv:1510.01069
Proc. Amer. Math. Soc., Volume 144, Number 8, August 2016, Pages 3465–3477

(with E. Carneiro, D. Foschi, D. Oliveira e Silva)
"A sharp trilinear inequality related to Fourier restriction on the circle."
arXiv:1509.06674
submitted to Rev. Mat. Iberoamericana

(with D. Oliveira e Silva)
"Estimates for certain integrals of products of six Bessel functions ."
arXiv:1509.06309
to appear in Rev. Mat. Iberoamericana

(with M. Mirek)
"A local Tb theorem for perfect multilinear CZ operators." To appear in Proceedings London MS
arxiv 1506.01264

(with V. Kovac and P. ZorinKranich)
"Dyadic triangular Hilbert transform of two general and one not too general function."
arxiv 1506.00861
Forum Math. Sigma 3 (2015), e25, 27 pp.

(with S. Treil and A. Volberg )
"Beyond the scope of doubling measures: weighted martingale transforms via outer measures"
arxiv 1411.5345
An older shorter version is available
here ,
Adv. Math. 285 (2015), 11551188.

(with F. Di Plinio )
"Endpoint bounds for the bilinear Hilbert transform"
arxiv 1403.5978 ,
Trans. Amer. Math. Soc. 368 (2016), no. 6, 39313972.

(with Y. Do )
"Lp theory for outer measures and two themes of Lennart Carleson united"
arxiv 1309.0945 ,
Bulletin AMS (N.S.) 52 (2015) 249296

(with V. Kovac )
"A T(1) theorem for entangled multilinear dyadic CalderónZygmund operators "
arxiv 1305.4752 ,
Illinois J. of Math. 57 (2013) no. 3. 775799

(with T. Tao )
"Nonlinear Fourier analysis" (from Park City Lecture Notes 2003)
arxiv 1201.5129 ,

(with M. Bateman )
"Lp estimates for the Hilbert transforms along a one variable vector field"
arxiv 1109.6396 ,
Analysis and PDE 6 (2013) no 7. 15771600

(with M. Reguera )
"The Hilbert transform does not map L1(Mw) to L{1,infty}(w)"
Math. Res. Lett. 19 (2012), no. 1, 17.
arxiv:1011.1767 ,

(with Y. Do, C. Muscalu )
"Variational estimates for paraproducts"
Rev. Mat. Iberoamericana 28 (2012), no. 3, 857878.
arxiv:1009.5187 ,

(with R. Oberlin )
"New uniform bounds for a Walsh model of the bilinear Hilbert transform."
arxiv:1004.4019 ,
Indiana Univ. Math. J. 60 (2011), no. 5, 1693–1712.

(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, 529545.
arxiv:0912.3010 ,

(with R. Oberlin, A. Seeger, T. Tao, J. Wright )
"A variation norm Carleson theorem"
J. Eur. Math. Soc. (JEMS) 14 (2012), no. 2, 421464
arxiv:0910.1555 ,

(with C. Demeter, M. Pramanik)
"Multilinear singular operators with fractional rank"
Pacific J. of Mathematics 246 (2010) no. 2, 293324
arxiv:0904.1253 ,

(with C. Demeter)
"On the two dimensional Bilinear Hilbert Transform"
Amer. J. Math. 132 (2010), no. 1, 201256.
arxiv:0803.1268 ,

(with C. Demeter, M. Lacey, T. Tao )
"The Walsh model for M2* Carleson"
Rev. Mat. Iberoam. 24 (2008), no. 3, 721744.
arxiv:0712.1295 ,

(with C. Muscalu, T. Tao)
"Multilinear operators associated to simplexes of arbitrary length"
arxiv:0712.2420 ,
Advances in analysis: the legacy of Elias M. Stein, 346–401, Princeton Math. Ser., 50, Princeton Univ. Press, Princeton, NJ, 2014.

(with A. Benyi, C. Demeter, A. Nahmod, R. Torres, F. Villarroya)
"Modulation invariant bilinear T(1) theorem"
J. Anal. Math. 109 (2009), 279352.
arxiv:0710.0973 ,

"Applications of Timefrequency analysis in Ergodic Theory"
Survey article for Oberwolfach meeting 2008
pdf file ,

(with C. Demeter, M. Lacey, T. Tao)
"Breaking the duality in the return times theorem."
Duke Math. J. 143 (2008), no. 2, 281355.
math/0601455

(with C. Demeter, T. Tao) "Maximal multilinear operators"
Trans. Amer. Math. Soc. 360 (2008), no. 9, 49895042.
math.CA/0518051

(with D. Müller) "Wave equation and multiplier estimates
on ax+b groups."
Studia Math. 179 (2007), no. 2, 117148.
math.CA/0403476

(with C. Muscalu, J. Pipher and T. Tao)
"Multiparameter paraproducts"
Rev. Mat. Iberoam. 22 (2006), no. 3, 963976.
math.CA/0411607

(with C. Muscalu and T. Tao) "The biCarleson operator"
Geom. Funct. Anal. 16 (2006), no. 1, 230277.
math.CA/0409406

"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: 0821836617

(with M. Christ, X. Li and T. Tao) "On multilinear oscillatory integrals,
nonsingular and singular."
. Duke Math. J. 130 (2005), no. 2, 321351.
math.CA/0311039

(with C. Muscalu J. Pipher, and T. Tao) "Biparameter paraproducts"
Acta Math. 193 (2004), no. 2, 269296.
math.CA/0310367

(with C. Muscalu and T. Tao) "Lp estimates for the biest. II. The Fourier case."
Math. Ann. 329 (2004), no. 3, 427461.
math.CA/0205139

(with C. Muscalu and T. Tao) "A Carleson type theorem for a Cantor group
model of the scattering transform"
Nonlinearity 16 (2003), no. 1, 219246.
math.CA/0205139

(with P. Auscher, S. Hofmann, C. Muscalu, T. Tao)
"Carleson measures, trees, extrapolation, and T(b) theorems"
Publ. Mat. 46 (2002), no. 2, 257325.
math.CA/0108138

"Singular integrals meet modulation invariance"
Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 721732, Higher Ed. Press, Beijing, 2002.
pdf file ,
dvi file ,

(with C. Muscalu and T. Tao) " A discrete model for the biCarleson operator. "
Geom. Funct. Anal. 12 (2002), no. 6, 13241364.
math.CA/0201060

(with C. Muscalu and T. Tao) " Lp estimates for the biest I.
The Walsh case"
Math. Ann. 329 (2004), no. 3, 401426.
math.CA/0102083

(with C. Muscalu and T. Tao) " Lp estimates for the biest II.
The Fourier case"
Math. Ann. 329 (2004), no. 3, 427461.
math.CA/0102084

(with C. Muscalu and T. Tao) "A counterexample to a multilinear endpoint
question of Christ and Kiselev" ,
Math. Res. Lett. 10 (2003), no. 23, 237246.
math.CA/0108156

(with C. Muscalu and T. Tao) "Uniform estimates on multilinear operators
with modulation symmetry. Dedicated to the memory of Tom Wolff." ,
J. Anal. Math. 88 (2002), 255309.
math.CA/0107059

(with C. Muscalu and T. Tao) "Uniform estimates on paraproducts. Dedicated to the memory of Thomas H. Wolff." ,
J. Anal. Math. 87 (2002), 369384.
math.CA/0106092

"Multilinear singular integrals" ,
survey article El Escorial 2000, preprint Mar 2001,
pdf file ,
dvi file ,

"A uniform estimate",
Ann. of Math. (2) 156 (2002), no. 2, 519563.

"A uniform estimate for the quartile operator",
Rev. Mat. Iberoamericana 18 (2002), no. 1, 115134.

(with C. Muscalu and T. Tao) "Multilinear operators given by
singular multipliers",
J. Amer. Math. Soc. 15 (2002), no. 2, 469496 (electronic).
math.CA/9910039

(with D. Mueller), "Normal forms of involutive complex Hamiltonian matrices under the real symplectic group."
J. Reine Angew. Math. 513 (1999), 97114.

(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) 361370

"On the Bilinear Hilbert Transform",
Habilitationsschrift,
Universität Kiel, 1998 ps file

"TimeFrequency Analysis in the Discrete Phase Plane",
PhD thesis Yale 1995,
ps file
back to Christoph Thiele