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We give a construction of a fundamental domain for $${{\rm PU}(2,1,\mathbb{Z} [i])}$$, that is the group of holomorphic isometries of complex hyperbolic space with coefficients in the Gaussian ring… (More)

The objective of this paper is to determine the Szeg6 kernel of the domain ? = {(z, C, w) e Cn+m+l; ?mw > IIZ112 + IIC1I2P} explicitly in closed form. The purpose of this paper is to determine the… (More)

Abstract We compute explicitly the Bergman and Szego kernels for a class of pseudoconvex domains. The kernels are expressed in terms of Appell's multivariable hypergeometric functions. These explicit… (More)

- Gábor Francsics
- 1990

- Gábor Francsics
- 1994

- Gábor Francsics
- 1988

A pair of pliers with multiple functions is disclosed. The pliers have a pair of shanks pivotally engaged with each other each having a jaw formed at one end thereof, a polygon hole defined in the… (More)

- Gábor Francsics, Peter D. Lax
- Proceedings of the National Academy of Sciences…
- 2006

Our main goal is to analyze the geometric and spectral properties of the Picard modular group with Gaussian integer entries acting on the two-dimensional complex hyperbolic space.

- Gábor Francsics
- 1985

where rn_~l, 2>0, p>0 , b>0, c > 0 are constants. The function uo(x) is supposed to be bounded, continuous and nonnegative, satisfying uo(x) >0 on land uo(x) =-0 in R \ I for a bounded interval I =… (More)