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- Genkai Zhang
Genkai Zhang
Professor
Avdelningen för Analys ochOm Genkai Zhang
Genkai Zhang forskar inom området representationsteori för Liegrupper och analys på lokalt symmetriska rum. Liegrupper är matematiska verktyg att studera symmetrier. Sökandet efter symmetrier har varit ett centralt tema inom matematik och fundamentalfysik. Manifestationer av symmetrier formuleras som representationer för Liegrupper. Lokalt symmetriska rum är geometriska mångfalder med stort antal lokala symmetrier. Målet av forskningen är att förstå geometriska och analytiska egenskaper av dessa rum, så som variationer av former, resonans, och att upptäcka nya representationer. Genkai Zhang samarbetar med forskare i Europa, Kina, Japan, Sydkorea och USA.
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Curvature of new Kähler metrics on the total space of Griffiths negative vector bundle and quasi-Fuchsian
space
Inkang Kim, Xueyuan Wan, Genkai Zhang
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS - 2024 -
Weighted Bergman kernels for nearly holomorphic functions on bounded symmetric
domains
M. Englis, E. Youssfi, Genkai Zhang
Journal of Functional Analysis - 2024 -
Convexity of energy functions of harmonic maps homotopic to covering maps of
surfaces
Inkang Kim, Xueyuan Wan, Genkai Zhang
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS - 2023 -
Heisenberg parabolically induced representations of Hermitian Lie groups, Part I: Intertwining operators and Weyl
transform
J. Frahm, Clemens Weiske, Genkai Zhang
Advances in Mathematics - 2023 -
Plurisubharmonicity and Geodesic Convexity of Energy Function on Teichmuller
Space
I. Kim, X. Y. Wan, Genkai Zhang
Indiana University Mathematics Journal - 2022 -
BRANCHING OF METAPLECTIC REPRESENTATION OF Sp(2, R) UNDER ITS PRINCIPAL SL(2,
R)-SUBGROUP
Genkai Zhang
Representation Theory - 2022 -
Principal series of Hermitian Lie groups induced from Heisenberg parabolic
subgroups
Genkai Zhang
Journal of Functional Analysis - 2022 -
Toledo invariant of lattices in SU(2,1) via symmetric
square
I. Kim, Genkai Zhang
Journal of Mathematical Physics - 2020 -
An extension problem related to the fractional Branson-Gover
operators
J. Frahm, B. Orsted, Genkai Zhang
Journal of Functional Analysis - 2020 -
Second variation of Selberg zeta functions and curvature
asymptotics
Ksenia Fedosova, Julie Rowlett, Genkai Zhang
Annals of Global Analysis and Geometry - 2020 -
CONNECTION AND CURVATURE ON BUNDLES OF BERGMAN AND HARDY
SPACES
M. Englis, Genkai Zhang
Documenta Mathematica - 2020 -
Norm estimates and asymptotic faithfulness of the quantum SU(n) representations of the mapping class
group
Xueyuan Wan, Genkai Zhang
Geometriae Dedicata - 2020 -
Hausdorff Moment Sequences Induced by Rational
Functions
Md Ramiz Reza, Genkai Zhang
Complex Analysis and Operator Theory - 2019 -
Holomorphic Isometries from the Unit Ball into Symmetric
Domains
H. Upmeier, K. Wang, Genkai Zhang
International Mathematics Research Notices - 2019 -
Positivity of Shimura
operators
S. Sahi, Genkai Zhang
Mathematical Research Letters - 2019 -
Convex real projective structures and Weil's local rigidity
theorem
I. Kim, Genkai Zhang
Journal De Mathematiques Pures Et Appliquees - 2018 -
Local rigidity of complex hyperbolic lattices in semisimple Lie
groups
Inkang Kim, Genkai Zhang
Mathematical Proceedings of the Cambridge Philosophical Society - 2018 -
The Capelli Identity and Radon Transform for
Grassmannians
S. Sahi, Genkai Zhang
International Mathematics Research Notices - 2017 -
Curvature inequalities for operators of the Cowen-Douglas
class
K. Wang, Genkai Zhang
Israel Journal of Mathematics - 2017 -
Toeplitz Operators on Higher Cauchy-Riemann
Spaces
M. Englis, Genkai Zhang
Documenta Mathematica - 2017 -
Tensor products of complementary series of rank one Lie
groups
Genkai Zhang
Science China Mathematics - 2017 -
Eichler–Shimura isomorphism for complex hyperbolic
lattices
Inkang Kim, Genkai Zhang
Journal of Geometry and Physics - 2017 -
KAHLER METRIC ON THE SPACE OF CONVEX REAL PROJECTIVE STRUCTURES ON
SURFACE
I. Kim, Genkai Zhang
Journal of Differential Geometry - 2017 -
Hankel operators and the Dixmier trace on the Hardy
space
M. Englis, Genkai Zhang
Journal of the London Mathematical Society - 2016 -
On boundary value problems for some conformally invariant differential
operators
J. Mollers, B. Orsted, Genkai Zhang
Communications in Partial Differential Equations - 2016 -
Invariant Differential Operators on H-Type Groups and Discrete Components in Restrictions of Complementary Series of Rank One Semisimple
Groups
Genkai Zhang, B Orsted, J Moellers
Journal of Geometric Analysis - 2016 -
Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie
groups
B. Speh, Genkai Zhang
Mathematische Zeitschrift - 2016 -
Discrete components in restriction of unitary representations of rank one semisimple Lie
groups
Genkai Zhang
Journal of Functional Analysis - 2015 -
Degenerate principal series representations of SO(p+1,
p)
V. Fischer, Genkai Zhang
Monatshefte Fur Mathematik - 2015 -
Invariant trilinear forms on spherical principal series of real rank one semisimple Lie
groups
S. Ben Said, K. Koufany, Genkai Zhang
International Journal of Mathematics - 2014 -
Reproducing kernel for a class of weighted Bergman spaces on the symmetrized
polydisc
G. Misra, S. S. Roy, Genkai Zhang
Proceedings of the American Mathematical Society - 2013 -
Trace formulas and $p$-essentially normal properties of quotient modules on the
bidisk
K. Y. Guo, K. Wang, Genkai Zhang
Journal of Operator Theory - 2012 -
Hua operators, Poisson transform and relative discrete series on line bundles over bounded symmetric
domains
K. Koufany, Genkai Zhang
Journal of Functional Analysis - 2012 -
Realization of quaternionic discrete series on the unit ball in
H^d
Heping Liu, Genkai Zhang
Journal of Functional Analysis - 2012 -
Fundamental Solutions of Kohn Sub-Laplacians on Anisotropic Heisenberg Groups and H-type
Groups
Y. Y. Jin, Genkai Zhang
Canadian Mathematical Bulletin - Bulletin Canadien De Mathematiques - 2011 -
Hankel Operators and the Dixmier Trace on Strictly Pseudoconvex
Domains
M. Englis, Genkai Zhang
Documenta Mathematica - 2010 -
Ramadanov conjecture and line bundles over compact Hermitian symmetric
spaces
M. Englis, Genkai Zhang
Mathematische Zeitschrift - 2010 -
Rankin–Cohen brackets, transvectants and covariant differential
operators
Genkai Zhang
Mathematische Zeitschrift - 2010 -
Degenerate $p$-Laplacian Operators and Hardy Type Inequalities on H-Type
Groups
Yongyang Jin, Genkai Zhang
Canadian Journal of Mathematics - 2010 -
Degenerate principal series representations and their holomorphic
extensions
Genkai Zhang
Advances in Mathematics - 2010 -
Segal–Bargmann and Weyl transforms on compact Lie groups. (With Joachim
Hilgert)
J. Hilgert, Genkai Zhang
Monatshefte für Mathematik - 2009 -
Radon, cosine and sine transforms on Grassmannian
manifolds.
Genkai Zhang
International Mathematics Research Notices - 2009 -
Toeplitz and Hankel operators and Dixmier traces on the unit ball of
Cn
M. Englis, K. Guo, Genkai Zhang
Proceedings of the American Mathematical Society - 2009 -
Radon transform on symmetric matrix
domains
Genkai Zhang
Transactions of the American Mathematical Society - 2009 -
Radon transform on H-type and siegel-type nilpotent
groups
L. Peng, Genkai Zhang
INTERNATIONAL JOURNAL OF MATHEMATICS - 2007 -
Biorthogonal Expansion of Non-Symmetric Jack
Functions
Genkai Zhang, S Sahi
SIGMA - 2007 -
Radon transform on real, complex, and quaternionic
Grassmannians.
Genkai Zhang
Duke Math. J. - 2007 -
Radon transform on H-type and Siegel-type nilpotent
groups
Genkai Zhang, L. Peng
International Journal of Mathematics - 2007 -
Nonsymmetric Jacobi and Wilson-type
polynomials
L. Peng, Genkai Zhang
INTERNATIONAL MATHEMATICS RESEARCH NOTICES - 2006 -
Hua operators and Poisson transform for bounded symmetric
domains.
Genkai Zhang, K. Koufany
J. Funct. Anal. - 2006 -
Hua operators and Poisson transform for bounded symmetric
domains
K. Koufany, Genkai Zhang
JOURNAL OF FUNCTIONAL ANALYSIS - 2006 -
Nonsymmetric Jacobi and Wilson-type
polynomials.
Genkai Zhang, L. Peng
Int. Math. Res. Not. - 2006 -
On the derivatives of the Berezin
transform
M. Englis, Genkai Zhang
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY - 2006 -
Covariant q-differential operators and unitary highest weight representations for
U(q)su(n,)n
Dmitry Shklyarov, Genkai Zhang
Journal of mathematical physics - 2005 -
Laplacians on quotients of Cauchy-Riemann complexes and Szegö map for L2-harmonic
forms.
Bent Orsted, Genkai Zhang
Indag. Math. (N.S.) - 2005 -
Spherical transform and Jacobi polynomials on root systems of type
BC
Genkai Zhang
Int. Math. Res. Not. - 2005 -
Hilbert Spaces of tensor-valued holomorphic functions on the unit ball of
C-n
S Hwang, Y Liu, Genkai Zhang
PACIFIC JOURNAL OF MATHEMATICS - 2004 -
Tensor products of holomorphic representations and bilinear differential
operators.
L. Peng, Genkai Zhang
Journal of Functional Analysis - 2004 -
On the Faraut-Koranyi hypergeometric functions in rank
two.
M. Englis, Genkai Zhang
Ann. Inst. Fourier (Grenoble) - 2004 -
Capelli identity and relative discrete series of the line bundle over tube
domains
Bent Ørsted, Genkai Zhang
2001 -
Invariant differential operators on symmetric cones and Hermitian symmetric
spaces
Genkai Zhang
2001 -
Homogeneous multiplication operators on bounded symmetric
domains
Jonathan Arazy, Genkai Zhang
2001 -
Branching coefficients of holomorphic representations and Segal-Bargmann
transform
Genkai Zhang
2001 -
Tensor products of minimal holomorphic
representations
Genkai Zhang
2000 -
Berezin transform on real bounded symmetric
domains
Genkai Zhang
1999