Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Potential Theory on Locally Compact Abelian Groups

I. Harmonic Analysis.- 1. Notation and Preliminaries.- 2. Some Basic Results From Harmonic Analysis.- 3. Positive Definite Functions.- 4. Fourier Transformation of Positive Definite Measures.- 5.… Expand

400 37

Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions

- C. Berg, J. Christensen, P. Ressel
- Mathematics
- 1984

1 Introduction to Locally Convex Topological Vector Spaces and Dual Pairs.- 1. Locally Convex Vector Spaces.- 2. Hahn-Banach Theorems.- 3. Dual Pairs.- Notes and Remarks.- 2 Radon Measures and… Expand

415 32- PDF

Health and Welfare in Organic Poultry Production

- C. Berg
- Medicine
- Acta veterinaria Scandinavica. Supplementum
- 31 March 2002

This review paper deals with the major health and welfare aspects of organic poultry production. The differences between organic and conventional egg and poultry meat production are discussed, with… Expand

83 11

Integral Representation of Some Functions Related to the Gamma Function

- C. Berg
- Mathematics
- 24 November 2004

Abstract.We prove that the functions
$$\Phi (x) = [\Gamma (x + 1)]^{1/x} (1 + 1/x)^x /x$$ and
$$\log \Phi (x)$$ are Stieltjes transforms.

129 8- PDF

Stieltjes-Pick-Bernstein-Schoenberg and their connection to complete monotonicity

- C. Berg
- Mathematics
- 2007

This paper is mainly a survey of published results. We recall the definition of positive definite and (conditionally) negative definite functions on abelian semigroups with involution, and we… Expand

64 8- PDF

From Schoenberg Coefficients to Schoenberg Functions

In his seminal paper, Schoenberg (Duke Math J 9:96–108, 1942) characterized the class $$\mathcal P(\mathbb {S}^d)$$P(Sd) of continuous functions $$f:[-1,1] \rightarrow \mathbb {R}$$f:[-1,1]→R such… Expand

54 8- PDF

A remark on the multidimensional moment problem

- C. Berg, J. Christensen, C. Jensen
- Mathematics
- 1 June 1979

To mot ivate the following results let us recall some definitions and results with relation to the m o m e n t problem. Let (S, + ) be an abelian semigroup with neutral element 0. A real-valued… Expand

100 7

Markov's Theorem Revisited

- C. Berg
- Mathematics
- 1 August 1994

The fact that Markov?s Theorem holds for determinate measures is often overlooked and the theorem is stated for measures with compact support as did Markov. We give a brief survey of the history of… Expand

38 7- PDF