Hideyuki ISHI
Graduate School of Mathematics,
Nagoya University,
Furo-cho, Chikusa-ku, Nagoya 454-8602,
Japan
hideyuki@math.nagoya-u.ac.jp
Works
-
An explicit description of positive Riesz distributions on
homogeneous cones,
Proc. Japan Acad. 74 (1998), 132--134.
-
Representations of the solvable group acting on a homogeneous
Siegel domain,
Proc. Japan Acad. 75 (1999), 118--121.
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Representations of the affine transformation groups acting
simply transitively on Siegel domains,
J. Funct. Anal. 167 (1999), 425--462.
-
Positive Riesz distributions on homogeneous cones},
J. Math. Soc. Japan 52 (2000), 161--186.
-
Basic relative invariants associated to homogeneous cones and
applications,
J. Lie Theory 11 (2001), 155--171.
-
Determinant type differential operators on homogeneous Siegel domains,
J. Funct. Anal. 183 (2001), 526--546.
-
Decomposition of the $L^2$-function space on the Shilov
boundary of a homogeneous Siegel domain,
Sophia Kokyuroku in Mathematics 45 (2002), pp. 121--136.
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Unitarizability of holomorphically induced representations of
a split solvable Lie group,
in Proceedings of the ESI workshops 'Quantization and Analysis on
Symmetric Spaces', pp. 96--100, 2005.
-
The gradient maps associated to certain non-homogeneous cones,
Proc. Japan Acad. 81 (2005), 44--46.
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Wavelet transforms for semidirect product groups with not
necessarily commutative normal subgroups,
J. Fourier Anal. Appl. 12 (2006), 37--52.
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On symplectic representations of normal $j$-algebras and their
application to Xu's realizations of Siegel domains,
Differential Geom. Appl. 24 (2006), 588--612.
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Matrix realizations of homogeneous Siegel domains,
Proceedings of 'Workshop on Complex Geometry and Group Actions'
pp. 79--85, 2007.
- (with T. Nomura)
Tube domain and an orbit of a complex triangular group,
Math. Z. 259 (2008), 697--711.
- (with T. Nomura)
Irreducible homogeneous non-symmetric cones linearly
isomorphic to the dual cones,
in 'Contemporary geometry and topology and related topics',
pp. 167--171, Cluj Univ. Press, 2008.
-
A torus subgroup of the isotropy group of a bounded
homogeneous domain,
Manuscripta Math. 130 (2009), 353--358.
- (with T. Nomura)
An irreducible homogeneous non-selfdual cone
of arbitrary rank linearly isomorphic to the dual cone,
in 'Infinite dimensional harmonic analysis IV', pp. 129--134,
World Sci. Publ., 2009.
- (with C. Kai)
The representative domains of a homogeneous bounded domain,
Kyushu J. Math. 64 (2010), 35--47.
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Continuous wavelet transforms and non-commutative Fourier analysis,
RIMS Kokyuroku Bessatsu B20 (2010), 173--185.
- (with S. Yamaji)
Some estimates of the Bergman kernel of minimal bounded homogeneous domains,
J. Lie Theory 21 (2011), 755--769.
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Unitary holomorphic multiplier representations over a homogeneous bounded domain,
Adv. Pure Appl. Math. 2 (2011), no. 3-4, 405--419.
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Representation of clans and homogeneous cones,
Vestnik Tambov University, 16 (2011), 1669--1675.
- (with A. J. Di Scala and A. Loi)
Kaehler immersions of homogeneous Kaehler manifolds into complex space forms,
Asian J. Math. 16 (2012), 479--488.
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The unitary representations parametrized by the Wallach set for a homogeneous bounded domain,
Adv. Pure Appl. Math. 4 (2013), 93--102.
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On a class of homogeneous cones consisting of real symmetric matrices,
Josai Mathematical Monograph 6 (2013), 71--80.
- (with P. Graczyk)
Riesz measures and Wishart laws associated to quadratic maps,
J. Math. Soc. Japan 66 (2014), 317--348.