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Peter Ebenfelt - Publications

Affiliations: 
University of California, San Diego, La Jolla, CA 
Area:
Mathematics
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46 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2019 Ebenfelt P, Zaitsev D. A new invariant equation for umbilical points on real hypersurfaces in $\mathbb{C}^2$ and applications Communications in Analysis and Geometry. 27: 1549-1582. DOI: 10.4310/Cag.2019.V27.N7.A4  0.335
2019 Curry SN, Ebenfelt P. Bounded strictly pseudoconvex domains in C2 with obstruction flat boundary II Advances in Mathematics. 352: 611-631. DOI: 10.1016/J.Aim.2019.06.011  0.447
2018 Ebenfelt P, Son DN, Zaitsev D. A family of compact strictly pseudoconvex hypersurfaces in $\mathbb{C}^2$ without umbilical points Mathematical Research Letters. 25: 75-84. DOI: 10.4310/Mrl.2018.V25.N1.A4  0.399
2017 Ebenfelt P, Lamel B, Zaitsev D. 7. Normal Form for Infinite Type Hypersurfaces in C^2 with Nonvanishing Levi Form Derivative Documenta Mathematica. 22: 165-190. DOI: 10.25537/Dm.2017V22.165-190  0.416
2017 Ebenfelt P. The umbilical locus on the boundary of strictly pseudoconvex domains in ℂ2 International Journal of Mathematics. 28: 1740001. DOI: 10.1142/S0129167X17400018  0.403
2017 Ebenfelt P, Son DN. Umbilical points on three dimensional strictly pseudoconvex CR manifolds I: manifolds with U(1)-action Mathematische Annalen. 368: 537-560. DOI: 10.1007/S00208-016-1439-5  0.401
2015 Ebenfelt P, Shroff R. Partial rigidity of CR embeddings of real hypersurfaces into hyperquadrics with small signature difference Communications in Analysis and Geometry. 23: 159-190. DOI: 10.4310/Cag.2015.V23.N1.A5  0.558
2015 Ebenfelt P. Local holomorphic isometries of a modified projective space into a standard projective space; rational conformal factors Mathematische Annalen. 363: 1333-1348. DOI: 10.1007/S00208-015-1220-1  0.379
2014 Ebenfelt P, Son DN. Holomorphic mappings between pseudoellipsoids in different dimensions Methods and Applications of Analysis. 21: 365-378. DOI: 10.4310/Maa.2014.V21.N3.A6  0.323
2014 Ebenfelt P, Minor A. On CR embeddings of strictly pseudoconvex hypersurfaces into spheres in low dimensions Transactions of the American Mathematical Society. 366: 5693-5706. DOI: 10.1090/S0002-9947-2014-06085-6  0.598
2014 Armel J, Ebenfelt P. Extension of Solutions to Holomorphic Partial Differential Equations Communications in Partial Differential Equations. 39: 1770-1779. DOI: 10.1080/03605302.2014.881854  0.438
2013 Ebenfelt P. Partial rigidity of degenerate CR embeddings into spheres Advances in Mathematics. 239: 72-96. DOI: 10.1016/J.Aim.2013.02.011  0.344
2012 Ebenfelt P, Son DN. CR transversality of holomorphic mappings between generic submanifolds in complex spaces Arxiv: Complex Variables. 140: 1729-1738. DOI: 10.1090/S0002-9939-2011-11091-8  0.398
2009 Ebenfelt P, Lamel B, Zaitsev D. Degenerate real hypersurfaces in ℂ2 with few automorphisms Transactions of the American Mathematical Society. 361: 3241-3267. DOI: 10.1090/S0002-9947-09-04626-1  0.362
2009 Ebenfelt P, Rothschild LP. New invariants of CR manifolds and a criterion for finite mappings to be diffeomorphic Complex Variables and Elliptic Equations. 54: 409-423. DOI: 10.1080/17476930902763827  0.396
2008 Ebenfelt P, Render H. On the mixed Cauchy problem with data on singular conics Journal of the London Mathematical Society-Second Series. 78: 248-266. DOI: 10.1112/Jlms/Jdn028  0.461
2008 Ebenfelt P, Render H. The Goursat problem for a generalized Helmholtz operator in the plane Journal D Analyse Mathematique. 105: 149-167. DOI: 10.1007/S11854-008-0033-5  0.334
2007 Baouendi MS, Ebenfelt P, Rothschild LP. Transversality of holomorphic mappings between real hypersurfaces in different dimensions Communications in Analysis and Geometry. 15: 589-611. DOI: 10.4310/Cag.2007.V15.N3.A6  0.333
2007 Ebenfelt P, Rothschild LP. Analyticity of Smooth CR Mappings of Generic Submanifolds Asian Journal of Mathematics. 11: 305-318. DOI: 10.4310/Ajm.2007.V11.N2.A7  0.456
2007 Bell SR, Ebenfelt P, Khavinson D, Shapiro HS. Algebraicity in the Dirichlet problem in the plane with rational data Complex Variables and Elliptic Equations. 52: 235-244. DOI: 10.1080/17476930601065615  0.454
2006 Ebenfelt P, Rothschild LP. Transversality of CR mappings American Journal of Mathematics. 128: 1313-1343. DOI: 10.1353/Ajm.2006.0039  0.394
2006 Ebenfelt P. Correction to “Uniformly Levi degenerate CR manifolds: the 5-dimensional case” Duke Mathematical Journal. 131: 589-591. DOI: 10.1215/S0012-7094-06-13137-X  0.333
2006 Baouendi MS, Ebenfelt P, Rothschild LP. Projection on Segre varieties and determination of holomorphic mappings between real submanifolds Science in China, Series a: Mathematics. 49: 1611-1624. DOI: 10.1007/S11425-006-2067-4  0.324
2006 Bell SR, Ebenfelt P, Khavinson D, Shapiro HS. On the classical dirichlet problem in the plane with rational data Journal D'Analyse Mathematique. 100: 157-190. DOI: 10.1007/Bf02916759  0.441
2005 Ebenfelt P, Huang X, Zaitsev D. The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics American Journal of Mathematics. 127: 169-191. DOI: 10.1353/Ajm.2005.0004  0.36
2004 Ebenfelt P, Huang X, Zaitsev D. Rigidity of CR-immersions into spheres Communications in Analysis and Geometry. 12: 631-670. DOI: 10.4310/Cag.2004.V12.N3.A6  0.318
2004 Ebenfelt P, Lamel B. Finite jet determination of CR embeddings Journal of Geometric Analysis. 14: 241-265. DOI: 10.1007/Bf02922071  0.359
2003 Ebenfelt P, Lamel B, Zaitsev D. Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case Geometric and Functional Analysis. 13: 546-573. DOI: 10.1007/S00039-003-0422-Y  0.443
2002 Ebenfelt P. On the analyticity of CR mappings between nonminimal hypersurfaces Mathematische Annalen. 322: 583-602. DOI: 10.1007/S002080200007  0.325
2001 Ebenfelt P. Finite jet determination of holomorphic mappings at the boundary Asian Journal of Mathematics. 5: 637-662. DOI: 10.4310/Ajm.2001.V5.N4.A3  0.32
2001 Ebenfelt P. Uniformly Levi degenerate CR manifolds: The 5-dimensional case Duke Mathematical Journal. 110: 37-80. DOI: 10.1215/S0012-7094-01-11012-0  0.328
1998 Ebenfelt P. New invariant tensors in CR structures and a normal form for real hypersurfaces at a generic Levi degeneracy Journal of Differential Geometry. 50: 207-247. DOI: 10.4310/Jdg/1214461169  0.327
1998 Ebenfelt P, Khavinson D, Shapiro HS. Extending solutions of holomorphic partial differential equations across real hypersurfaces Journal of the London Mathematical Society. 57: 411-432. DOI: 10.1112/S0024610798005845  0.436
1997 Ebenfelt P, Khavinson D, Shapiro HS. Analytic continuation of Jacobi polynomial expansions Indagationes Mathematicae. 8: 19-31. DOI: 10.1016/S0019-3577(97)83347-2  0.491
1997 Ebenfelt P, Shapiro HS. A Quasi Maximum Principle for Holomorphic Solutions of Partial Differential Equations in Cn Journal of Functional Analysis. 146: 27-61. DOI: 10.1006/Jfan.1996.3026  0.478
1996 Ebenfelt P. On the Unique Continuation Problem for CR Mappings into Nonminimal Hypersurfaces Journal of Geometric Analysis. 6: 385-405. DOI: 10.1007/Bf02921657  0.433
1996 Ebenfelt P, Khavinson D. On point to point reflection of harmonic functions across real-analytic hypersurfaces in ℝn Journal D'Analyse Mathematique. 68: 145-182. DOI: 10.1007/Bf02790208  0.356
1996 Baouendi MS, Ebenfelt P, Rothschild LP. Algebraicity of holomorphic mappings between real algebraic sets in Cn Acta Mathematica. 177: 225-273. DOI: 10.1007/Bf02392622  0.445
1995 Ebenfelt P, Shapiro HS. Erratum to “the cauchy-kowalevskaya theorem and generalizations” Communications in Partial Differential Equations. 20: 2221-2222. DOI: 10.1080/03605309508821170  0.401
1995 Ebenfelt P. Polynomial modules and a generalized cauchy problem for systems of holomorphic partial differential operators Communications in Partial Differential Equations. 20: 2129-2151. DOI: 10.1080/03605309508821165  0.438
1995 Ebenfelt P, Shapiro HS. The cauchy-kowalevskaya theorem and generalizations Communications in Partial Differential Equations. 20: 939-960. DOI: 10.1080/03605309508821120  0.473
1995 Ebenfelt P, Shapiro HS. The mixed Cauchy problem for holomorphic partial differential operators Journal D Analyse Mathematique. 65: 237-295. DOI: 10.1007/Bf02788774  0.317
1994 Ebenfelt P. Propagation of singularities from singular and infinite points in certain complex-analytic Cauchy problems and an application to the Pompeiu problem Duke Mathematical Journal. 73: 561-582. DOI: 10.1215/S0012-7094-94-07323-7  0.318
1993 Ebenfelt P. Singularities of the solution to a certain Cauchy problem and an application to the Pompeiu problem Duke Mathematical Journal. 71: 119-142. DOI: 10.1215/S0012-7094-93-07106-2  0.334
1993 Ebenfelt P. Analytic continuation of certain domain functions in quadrature domains and domains bounded by ellipses Complex Variables and Elliptic Equations. 22: 69-83. DOI: 10.1080/17476939308814647  0.328
1992 Ebenfelt P. Singularities encountered by the analytic continuation of solutions to dirichlet's problem Complex Variables and Elliptic Equations. 20: 75-91. DOI: 10.1080/17476939208814588  0.432
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