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:

  1. (with F. Di Plinio ) "Endpoint bounds for the bilinear Hilbert transform" arxiv 1403.5978 , To appear in Transactions AMS

  2. (with Y. Do ) "Lp theory for outer measures and two themes of Lennart Carleson united" arxiv 1309.0945 , To appear in Bulletin AMS

  3. (with V. Kovac ) "A T(1) theorem for entangled multilinear dyadic Calderón-Zygmund operators " arxiv 1305.4752 , To appear in Illinois J. of Math.

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

  5. (with M. Bateman ) "Lp estimates for the Hilbert transforms along a one variable vector field" arxiv 1109.6396 , To appear in Analysis and PDE

  6. (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 ,

  7. (with Y. Do, C. Muscalu ) "Variational estimates for paraproducts" Rev. Mat. Iberoamericana 28 (2012), no. 3, 857--878. arxiv:1009.5187 ,

  8. (with R. Oberlin ) "New uniform bounds for a Walsh model of the bilinear Hilbert transform." to appear IUMJ arxiv:1004.4019 ,

  9. (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 ,

  10. (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 ,

  11. (with C. Demeter, M. Pramanik) "Multilinear singular operators with fractional rank" Pacific J. of Mathematics 246 (2010) no. 2, 293--324 arxiv:0904.1253 ,

  12. (with C. Demeter) "On the two dimensional Bilinear Hilbert Transform" Amer. J. Math. 132 (2010), no. 1, 201--256. arxiv:0803.1268 ,

  13. (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 ,

  14. (with C. Muscalu, T. Tao) "Multilinear operators associated to simplexes of arbitrary length" arxiv:0712.2420 ,

  15. (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 ,

  16. "Applications of Time-frequency analysis in Ergodic Theory" Survey article for Oberwolfach meeting 2008 pdf file ,

  17. (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

  18. (with C. Demeter, T. Tao) "Maximal multilinear operators" Trans. Amer. Math. Soc. 360 (2008), no. 9, 4989--5042. math.CA/0518051

  19. (with D. Müller) "Wave equation and multiplier estimates on ax+b groups." Studia Math. 179 (2007), no. 2, 117--148. math.CA/0403476

  20. (with C. Muscalu, J. Pipher and T. Tao) "Multi-parameter paraproducts" Rev. Mat. Iberoam. 22 (2006), no. 3, 963--976. math.CA/0411607

  21. (with C. Muscalu and T. Tao) "The bi-Carleson operator" Geom. Funct. Anal. 16 (2006), no. 1, 230--277. math.CA/0409406

  22. "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

  23. (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

  24. (with C. Muscalu J. Pipher, and T. Tao) "Bi-parameter paraproducts" Acta Math. 193 (2004), no. 2, 269--296. math.CA/0310367

  25. (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

  26. (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

  27. (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

  28. "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 ,

  29. (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

  30. (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

  31. (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

  32. (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
  33. (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
  34. (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
  35. "Multilinear singular integrals" ,
    survey article El Escorial 2000, preprint Mar 2001, pdf file , dvi file ,

  36. "A uniform estimate",
    Ann. of Math. (2) 156 (2002), no. 2, 519--563.

  37. "A uniform estimate for the quartile operator",
    Rev. Mat. Iberoamericana 18 (2002), no. 1, 115--134.

  38. (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
  39. (with D. Mueller), "Normal forms of involutive complex Hamiltonian matrices under the real symplectic group."
    J. Reine Angew. Math. 513 (1999), 97--114.

  40. (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

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

  42. "Time-Frequency Analysis in the Discrete Phase Plane",
    PhD thesis Yale 1995, ps file


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