L.M.P.A
Laboratoire de Mathématiques Pures et Appliquées
Joseph Liouville

## Joachim Michel

• Equipe : Analyse
LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS 80699
62228 Calais
• Bureau : C135
• Email : Joachim.Michel@lmpa.univ-littoral.fr
• Téléphone : 03.21.46.36.50

## Publications

### Livres

1. Beiträge zur komplexen Analysis (, and ), Universität Bonn Mathematisches Institut, .
2. The Cauchy-Riemann complex ( and ), Friedr. Vieweg & Sohn, .
3. Der Neumannoperator auf streng pseudokonkaven Gebieten und andere Anwendungen der Integralformelmethode (), Universität Bonn Mathematisches Institut, .
4. Integralformeln in der komplexen Analysis (), Universität Bonn Mathematisches Institut, .

### Articles de revues

1. Minimal sumsets in finite solvable groups ( and ), In Discrete Math., volume 310, . [pdf]
2. On the product of vector spaces in a commutative field extension (, and ), In J. Number Theory, volume 129, . [pdf]
3. Bounds on the minimal sumset size function in groups ( and ), In Int. J. Number Theory, volume 3, . [pdf]
4. Some results on minimal sumset sizes in finite non-abelian groups ( and ), In J. Number Theory, volume 124, . [pdf]
5. The small sumsets property for solvable finite groups ( and ), In European J. Combin., volume 27, . [pdf]
6. Sumsets in dihedral groups ( and ), In European J. Combin., volume 27, . [pdf]
7. A survey on modular Hadamard matrices ( and ), In Discrete Math., volume 302, . [pdf]
8. Old and new formulas for the Hopf-Stiefel and related functions ( and ), In Expo. Math., volume 23, . [pdf]
9. Minimal sumsets in infinite abelian groups ( and ), In J. Algebra, volume 287, . [pdf]
10. A note on the Hopf-Stiefel function ( and ), In Enseign. Math. (2), volume 49, .
11. Optimally small sumsets in finite abelian groups (, and ), In J. Number Theory, volume 101, . [pdf]
12. Circulant 16-modular Hadamard matrices and Jacobi sums ( and ), In J. Combin. Theory Ser. A, volume 100, . [pdf]
13. Circulant modular Hadamard matrices ( and ), In Enseign. Math. (2), volume 47, .
14. Restricted sums of sets of cardinality $1+p$ in a vector space over $\mathbf{F}_p$ ( and ), In Discrete Math., volume 235, . [pdf]
15. Restricted sumsets in finite vector spaces: the case $p=3$ ( and ), In Integers, volume 1, .
16. Modular sequences and modular Hadamard matrices ( and ), In J. Combin. Des., volume 9, . [pdf]
17. Sumsets in vector spaces over finite fields ( and ), In J. Number Theory, volume 71, . [pdf]
18. Compressible difference lists. An appendix to: "A note on the equation $\theta \overline{ \theta}=n+\lambda\Sigma$" [J.\ Statist.\ Plann.\ Inference \bf 62 (1997), no.\ 1, 21–34] by Eliahou and Kervaire (, and ), In J. Statist. Plann. Inference, volume 62, . [pdf]
19. A note on the equation $\theta \overline{ \theta}=n+\lambda\Sigma$ ( and ), In J. Statist. Plann. Inference, volume 62, . [pdf]
20. Corrigendum to: "Barker sequences and difference sets" [Enseign.\ Math. (2) \bf 38 (1992), no.\ 3-4, 345–382; MR1189012 (93i:11018)] ( and ), In Enseign. Math. (2), volume 40, .
21. Barker sequences and difference sets ( and ), In Enseign. Math. (2), volume 38, .
22. On Golay polynomial pairs (, and ), In Adv. in Appl. Math., volume 12, . [pdf]
23. A new restriction on the lengths of Golay complementary sequences (, and ), In J. Combin. Theory Ser. A, volume 55, . [pdf]
24. Minimal resolutions of some monomial ideals ( and ), In J. Algebra, volume 129, . [pdf]
25. Comportement local moyen de la fonction de Brjuno ( and ), In Fund. Math., volume 218, . [pdf]
26. $\scr C^\infty$-regularity of the tangential Cauchy-Riemann equations on Levi-flat submanifolds of $\Bbb C^n$ (), In Kyushu J. Math., volume 59, . [pdf]
27. The $\overline\partial$-Neumann operator on Lipschitz pseudoconvex domains with plurisubharmonic defining functions ( and ), In Duke Math. J., volume 108, . [pdf]
28. The $\overline\partial$ problem on domains with piecewise smooth boundaries with applications ( and ), In Trans. Amer. Math. Soc., volume 351, . [pdf]
29. A decomposition problem on weakly pseudoconvex domains ( and ), In Math. Z., volume 230, . [pdf]
30. $C^\infty$-regularity of solutions of the tangential CR-equations on weakly pseudoconvex manifolds ( and ), In Math. Ann., volume 311, . [pdf]
31. Subelliptic estimates for the $\overline\partial$-Neumann operator on piecewise smooth strictly pseudoconvex domains ( and ), In Duke Math. J., volume 93, . [pdf]
32. On the regularity of CR structures for almost CR vector bundles ( and ), In Math. Z., volume 218, . [pdf]
33. $C^k$-regularity for the $\overline\partial$-equation on a piecewise smooth union of strictly pseudoconvex domains in ${\bf C}^n$ ( and ), In Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), volume 21, . [pdf]
34. Regularity of local embeddings of strictly pseudoconvex CR structures ( and ), In J. Reine Angew. Math., volume 447, . [pdf]
35. Local regularity for the tangential Cauchy-Riemann complex ( and ), In J. Reine Angew. Math., volume 442, . [pdf]
36. A pseudoconvex domain with bounded solutions for $\overline\partial$, but not admitting $\scr C^1$-estimates (), In Math. Z., volume 213, . [pdf]
37. $\scr C^{k+a}$-estimates for the $\overline\partial$-equation on the Hartogs triangle ( and ), In Math. Ann., volume 294, . [pdf]
38. Integral representations on weakly pseudoconvex domains (), In Math. Z., volume 208, . [pdf]
39. An asymptotic formula for the Bergman projection on a certain class of domains in ${\bf C}$ (), In Arch. Math. (Basel), volume 55, . [pdf]
40. $C^k$-regularity for the $\overline\partial$-equation on strictly pseudoconvex domains with piecewise smooth boundaries ( and ), In Math. Z., volume 203, . [pdf]
41. Randregularität des $\overline\partial$-Problems für stückweise streng pseudokonvexe Gebiete in ${\bf C}^n$ (), In Math. Ann., volume 280, . [pdf]
42. Randregularität des $\bar\partial$-Problems für die Halbkugel in ${\bf C}^n$ (), In Manuscripta Math., volume 55, . [pdf]
43. Beschränkte Integraloperatoren auf streng $q$-konvexen Gebieten in ${\bf C}^{n}$ (), In J. Reine Angew. Math., volume 351, . [pdf]
44. International conference on approximation and iterative methods (, and ), In J. Comput. Appl. Math., volume 219, . [pdf]
45. Discretising the convolution product in DCI-MRI based quantification of CBF (, , and ), In MAGMA, volume 16, .
46. Conditional heteroskedasticity driven by hidden Markov chains ( and ), In J. Time Ser. Anal., volume 22, . [pdf]
47. Modèles ARCH avec changement de régime markovien ( and ), In C. R. Acad. Sci. Paris Sér. I Math., volume 330, . [pdf]

### Chapitres de livres

1. Some extensions of the Cauchy-Davenport theorem ( and ), Chapter in 6th Czech-Slovak International Symposium on Combinatorics, Graph Theory, Algorithms and Applications, Elsevier, volume 28, .
2. Ein neuer Konvexitätsbegriff in der komplexen Analysis (), Chapter in Beiträge zur komplexen Analysis, Univ. Bonn, volume 387, .
3. $\overline\partial$ and $\overline\partial_b$ problems on nonsmooth domains ( and ), Chapter in Analysis and geometry in several complex variables (Katata, 1997), Birkhäuser Boston, .
4. Regularity of the tangential Cauchy-Riemann complex and applications (), Chapter in Topics in complex analysis (Warsaw, 1992), Polish Acad. Sci., volume 31, .
5. Weighted averages of contractions along subsequences ( and ), Chapter in Convergence in ergodic theory and probability (Columbus, OH, 1993), de Gruyter, volume 5, .
6. Une remarque sur un théorème de Bourgain ( and ), Chapter in Séminaire de Probabilités, XXVII, Springer, volume 1557, . [pdf]

### Rapports

1. A New Proof on The Newlander-Nirenberg Theorem (), Technical report, LMPA, .
2. On The Spectral Surface of a Model Two-Parameter Sturm-Liouville Problem ( and ), Technical report, LMPA, .
3. C-Regularity of the tangential Cauchy-Riemann equations on Levi-flat submanifolds of Cn (), Technical report, LMPA, .

septembre 2017 :