Various theorems are proved to show that chord functions, or the generalized fc-chord functions, at certain sets of points in the plane determine the shape of any convex body uniquely. Consideration is given to special values of k which relate to problems of the equichordal type. 1
Abstract. Let C be a smooth, convex curve on either the sphere S2, the hyperbolic plane H2 or the Eu...
Motivated by a long-standing conjecture of Pólya and Szegö about the Newtonian capacity of...
Abstract. Let C be a smooth, convex curve on either the sphere S2, the hyperbolic plane H2 or the Eu...
The paper concerns the determination of convex bodies by values of $+\infty$-, $-\infty$- and $i$-ch...
Although convex functions have been characterized using the derivative,integral and monotonicity of ...
In this paper, we obtain a formula relating the chord power integrals of a convex body K and the dua...
and they all contain its centre. More generally, a chord of a convex body in R^ is called a diameter...
We study functions defined in the plane E 2 in which level curves are strictly convex, and i...
In this paper we extend the representation for the support function of centrally symmetric convex bo...
In this paper we extend the representation for the support function of centrally symmetric convex bo...
In this paper we extend the representation for the support function of centrally symmetric convex bo...
This thesis explores some aspects of convex tomography. We look in some detail at formulations of pr...
The following lectures concern only half the title of the summer school, namely ‘Fourier analytic me...
In this paper, we show that the harmonic convex functions have some nice properties, which convex fu...
In this paper, we show that the harmonic convex functions have some nice properties, which convex fu...
Abstract. Let C be a smooth, convex curve on either the sphere S2, the hyperbolic plane H2 or the Eu...
Motivated by a long-standing conjecture of Pólya and Szegö about the Newtonian capacity of...
Abstract. Let C be a smooth, convex curve on either the sphere S2, the hyperbolic plane H2 or the Eu...
The paper concerns the determination of convex bodies by values of $+\infty$-, $-\infty$- and $i$-ch...
Although convex functions have been characterized using the derivative,integral and monotonicity of ...
In this paper, we obtain a formula relating the chord power integrals of a convex body K and the dua...
and they all contain its centre. More generally, a chord of a convex body in R^ is called a diameter...
We study functions defined in the plane E 2 in which level curves are strictly convex, and i...
In this paper we extend the representation for the support function of centrally symmetric convex bo...
In this paper we extend the representation for the support function of centrally symmetric convex bo...
In this paper we extend the representation for the support function of centrally symmetric convex bo...
This thesis explores some aspects of convex tomography. We look in some detail at formulations of pr...
The following lectures concern only half the title of the summer school, namely ‘Fourier analytic me...
In this paper, we show that the harmonic convex functions have some nice properties, which convex fu...
In this paper, we show that the harmonic convex functions have some nice properties, which convex fu...
Abstract. Let C be a smooth, convex curve on either the sphere S2, the hyperbolic plane H2 or the Eu...
Motivated by a long-standing conjecture of Pólya and Szegö about the Newtonian capacity of...
Abstract. Let C be a smooth, convex curve on either the sphere S2, the hyperbolic plane H2 or the Eu...
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