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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
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Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions
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 andExpand
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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, withExpand
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Integral Representation of Some Functions Related to the Gamma Function
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.
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Stieltjes-Pick-Bernstein-Schoenberg and their connection to complete monotonicity
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 weExpand
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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 suchExpand
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A remark on the multidimensional moment problem
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-valuedExpand
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Markov's Theorem Revisited
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 ofExpand
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