The geometric means of an entire function of order zero - II
The geometric quantization of the moduli space of Riemann surfaces with even spin structure.
The geometry and spectrum of the one holed torus.
The geometry of the period mapping on cyclic covers of P1
The group of quasisymmetric homeomorphisms of the circle and quantization of the universal Teichmüller space.
The growth of a class of random Dirichlet series on the horizontal zone
In the paper we obtain that, under some condition, the Rademacher-Dirichlet series or the Steinhaus-Dirichlet series on the whole plane and on the horizontal zone almost surely have the same growth.
The growth of Dirichlet series
We define Knopp-Kojima maximum modulus and the Knopp-Kojima maximum term of Dirichlet series on the right half plane by the method of Knopp-Kojima, and discuss the relation between them. Then we discuss the relation between the Knopp-Kojima coefficients of Dirichlet series and its Knopp-Kojima order defined by Knopp-Kojima maximum modulus. Finally, using the above results, we obtain a relation between the coefficients of the Dirichlet series and its Ritt order. This improves one of Yu Jia-Rong's...
The growth of entire and harmonic functions along asymptotic paths.
The growth of solutions of algebraic differential equations
Suppose that is a meromorphic or entire function satisfying where is a polynomial in all its arguments. Is there a limitation on the growth of , as measured by its characteristic ? In general the answer to this question is not known. Theorems of Gol'dberg, Steinmetz and the author give a positive answer in certain cases. Some illustrative examples are also given.
The h, p and h-p Versions of the Finite Element Method in 1 Dimension. Part I. The Error Analysis of the p-Version.
The harmonic and quasiconformal extension operators
Different aspects of the boundary value problem for quasiconformal mappings and Teichmüller spaces are expressed in a unified form by the use of the trace and extension operators. Moreover, some new results on harmonic and quasiconformal extensions are included.
The higher derivatives of the inverse tangent function and rapidly convergent BBP-type formulas for pi.
The Hilbert problem: The case of infinitely many discontinuity points of coefficients.
The Hilbert-Smith conjecture for quasiconformal actions.
The holomorphic automorphism group of the complex disk.
The homogeneous transfinite diameter of a compact subset of
Let K be a compact subset of . A sequence of nonnegative numbers defined by means of extremal points of K with respect to homogeneous polynomials is proved to be convergent. Its limit is called the homogeneous transfinite diameter of K. A few properties of this diameter are given and its value for some compact subsets of is computed.
The hyperbolic Carnot theorem in the Poincaré disc model of hyperbolic geometry.
The hyperbolic Gauss map and quasiconformal reflections.
The hyperbolic geometry of continued fractions .
The hyperbolic metric in a rectangle. II.