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 L. Becker, F. van Doorn, A. Jamneshan, R. Srivastava)
"Carleson operators on doubling metric measure spaces"
arXiv:2405.06423

(with M. Fraccaroli and O. Saari)
"Uniform bounds for bilinear symbols with linear Kquasiconformally embedded singularity "
arXiv:2402.11661

(with M. Alexis and G. Mnatsakanyan)
"Quantum signal processing and nonlinear Fourier analysis"
to appear in "Rev. Mat. Complutense"
arXiv:2310.12683

(with L. Slavikova and P. Durcik)
"Normvariation of triple ergodic averages for commuting transformations"
arXiv:2307.07372

(with M. Fraccaroli and O. Saari)
"Phase space localizing operators"
arXiv:2210.16164

(with G. Negro and D. Oliveira e Silva)
"When does exp(tau) maximize Fourier extension for a
conic section?"
Harmonic analysis and convexity, 391–426.
Adv. Anal. Geom., 9
arXiv:2209.03916

(with P. Durcik and L Slavikova)
"Local bounds for singular Brascamp Lieb forms with cubical structure."
Math. Z. 302 (2022), no. 4, 2375–2405.
arXiv:2112.15101

(with O. Saari)
"Paraproducts for bilinear multipliers
associated with convex sets."
Math. Z. 302 (2022), no. 4, 2375–2405.
arXiv:2102.10305

(with J. Barker, P. ZorinKranich)
"Bandlimited maximizers for a Fourier extension inequality on the circle, II."
Exp. Math. 32 (2023), no. 2, 280–293.
arXiv:2002.05118

(with P. Durcik)
"Singular BrascampLieb: a survey."
Springer INdAM Ser., 45
Springer, Cham, 2021, 321–349.
arXiv:1904.08844:

(with P. Durcik)
"Singular BrascampLieb inequalities ."
Bull. Lond. Math. Soc. 52 (2020), no. 2, 283–298.
arXiv:1809.08688:

(with D. Oliveira e Silva, P. ZorinKranich)
"Bandlimited maximizers for a Fourier extension inequality on the circle."
Exp. Math. 31 (2022), no. 1, 192–198.
arXiv:1806.06605:

(with F. DiPlinio, S. Guo, P. ZorinKranich)
"Square functions for biLipschitz maps and directional operators."
J. Fourier Anal. Appl. 25 (2019), no. 1, 167–183.
arXiv:1706.07111:

(with O. Saari)
"Lipschitz linearization of the maximal hyperbolic cross multiplier ."
Journal of Fourier Analysis and Applications volume 25, pages 167–183(2019)
arXiv:1701.05093:

"On the first chapter."
arXiv:1706.08905:

(with P. Durcik, V. Kovac)
"Powertype cancellation for the simplex Hilbert transform."
J. Anal. Math. 139 (2019), no. 1, 67–82.
arXiv1608.00156:

(with Y. Do, C. Muscalu)
"Variational
estimates for the bilinear iterated Fourier integral."
J. Funct. Anal. 272 (2017), no. 5, 2176–2233.
arXiv:1605.00574

(with S. Guo)
"Hilbert transforms along Lipschitz direction fields: A lacunary model."
Mathematika 63 (2017), no. 2, 351–363.
arXiv:1603.03317

(with P. Durcik, V. Kovac, K. Skreb)
"Normvariation of ergodic averages with respect to two commuting transformations."
Ergodic Theory Dynam. Systems 39 (2019), no. 3, 658–688.
arXiv:1603.00631

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

(with E. Carneiro, D. Foschi, D. Oliveira e Silva)
"A sharp trilinear inequality related to Fourier restriction on the circle."
Rev. Mat. Iberoam. 33 (2017), no. 4, 1463–1486.
arXiv:1509.06674

(with D. Oliveira e Silva)
"Estimates for certain integrals of products of six Bessel functions ."
Rev. Mat. Iberoam. 33 (2017), no. 4, 1423–1462.
arXiv:1509.06309

(with M. Mirek)
"A local Tb theorem for perfect multilinear CZ operators."
Proc. Lond. Math. Soc. (3) 114 (2017), no. 1, 35–59. arxiv 1506.01264

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

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

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

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

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

(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"
Analysis and PDE 6 (2013) no 7. 15771600
arxiv 1109.6396 ,

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

(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
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