WorldCat Identities

Berg, Christian 1944-

Overview
Works: 21 works in 108 publications in 6 languages and 1,801 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Composer
Publication Timeline
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Most widely held works by Christian Berg
Potential theory, Copenhagen 1979 : proceedings of a colloquium held in Copenhagen, May 14-18, 1979 by Christian Berg( Book )

24 editions published in 1980 in 3 languages and held by 542 WorldCat member libraries worldwide

Harmonic analysis on semigroups : theory of positive definite and related functions by Christian Berg( Book )

18 editions published between 1984 and 2012 in English and held by 531 WorldCat member libraries worldwide

The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact terms in the famous theorems of Bochner, Bernstein-Widder and Hamburger. All three theorems can be viewed as special cases of a general theorem about functions qJ on abelian semigroups with involution (S, +, *) which are positive definite in the sense that the matrix (qJ(sJ + Sk{raquo} is positive definite for all finite choices of elements St ..., Sn from S. The three basic results mentioned above correspond to (~, +, x* = -x), ([0, 00[, +, x* = x) and (No, +, n* = n). The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely mono tone functions and Hoeffding-type inequalities. We view these subjects as important ingredients of harmonic analysis on semigroups. It has been our aim, simultaneously, to write a book which can serve as a textbook for an advanced graduate course, because we feel that the notion of positive definiteness is an important and basic notion which occurs in mathematics as often as the notion of a Hilbert space
Potential theory on locally compact Abelian groups by Christian Berg( Book )

17 editions published between 1975 and 1976 in English and held by 444 WorldCat member libraries worldwide

Classical potential theory can be roughly characterized as the study of Newtonian potentials and the Laplace operator on the Euclidean space JR3. It was discovered around 1930 that there is a profound connection between classical potential 3 theory and the theory of Brownian motion in JR . The Brownian motion is determined by its semigroup of transition probabilities, the Brownian semigroup, and the connection between classical potential theory and the theory of Brownian motion can be described analytically in the following way: The Laplace operator is the infinitesimal generator for the Brownian semigroup and the Newtonian potential kernel is the" integral" of the Brownian semigroup with respect to time. This connection between classical potential theory and the theory of Brownian motion led Hunt (cf. Hunt [2]) to consider general "potential theories" defined in terms of certain stochastic processes or equivalently in terms of certain semi groups of operators on spaces of functions. The purpose of the present exposition is to study such general potential theories where the following aspects of classical potential theory are preserved: (i) The theory is defined on a locally compact abelian group. (ii) The theory is translation invariant in the sense that any translate of a potential or a harmonic function is again a potential, respectively a harmonic function; this property of classical potential theory can also be expressed by saying that the Laplace operator is a differential operator with constant co efficients
The Harald Bohr centenary : proceedings of a symposium held in Copenhagen, April 24-25, 1987 by Bohr Harald Centenary( Book )

9 editions published between 1989 and 1990 in English and held by 77 WorldCat member libraries worldwide

Potential Theory Copenhagen 1979 : Proceedings of a Colloquium Held in Copenhagen, May 14-18, 1979( )

1 edition published in 1980 in English and held by 41 WorldCat member libraries worldwide

Potential theory on locally compact Abelian groups by Christian Berg( Book )

2 editions published in 1975 in Undetermined and English and held by 36 WorldCat member libraries worldwide

Potential theory Copenhagen 1979 : proceedings of a colloquium ; Copenhagen, May 14-18, 1979 by Christian Berg( Book )

12 editions published between 1979 and 2008 in 3 languages and held by 27 WorldCat member libraries worldwide

Schlupps der Handwerksbursch : Mären und Schnuren by Christian Berg( )

7 editions published between 1920 and 1947 in German and held by 25 WorldCat member libraries worldwide

Potential theory : Copenhagen 1979 ; proceedings of a colloquium, held in Copenhagen, May 14-18, 1979( Book )

1 edition published in 1980 in English and held by 24 WorldCat member libraries worldwide

Addenda et emendanda ad Hemiptera Argentina by Christian Berg( )

3 editions published in 1914 in Latin and held by 18 WorldCat member libraries worldwide

Ein Netzwerk für botanischen Naturschutz : neue Herausforderungen für die Botanikerinnen und Botaniker Deutschlands( Book )

2 editions published in 2006 in German and held by 17 WorldCat member libraries worldwide

Corps convexes et potentiels sphériques by Christian Berg( Book )

1 edition published in 1969 in Undetermined and held by 7 WorldCat member libraries worldwide

Nogle Sprogbemaerkninger knyttede tel en Kommentar til Xenophons Hieron by Christian Berg( Book )

1 edition published in 1852 in Danish and held by 2 WorldCat member libraries worldwide

SHRIMP constraints on sediment provenance and transport history on the Mesozoic Statfjord Formation, North Sea by A. C Morton( )

in English and held by 2 WorldCat member libraries worldwide

Blood parameters of goats, Artesia Village, Kagatleng Agricultural District, Botswana by R Gray( Book )

1 edition published in 1988 in English and held by 2 WorldCat member libraries worldwide

Proceedings of the Seventh International Symposium on Orthogonal Polynomials, Special Functions and Applications : Copenhagen, Denmark, 18-22 August 2003 by Special Functions and Their Applications. <7, 2003, København> International Symposium on Orthogonal Polynomials( Book )

3 editions published in 2005 in English and held by 2 WorldCat member libraries worldwide

Corps convexes et potentiels sphériques by Christian Berg( Book )

1 edition published in 1969 in Danish and held by 1 WorldCat member library worldwide

Keep you kimi by Nilokheri Haryana Institute of Rural Development( Recording )

in Undetermined and held by 1 WorldCat member library worldwide

Potential theory on locally compact abelian groups by Christian Berg( )

1 edition published in 1975 in English and held by 1 WorldCat member library worldwide

Notas Sinonimicas acerca de algunos Coleópteros y Lepidópteros by Christian Berg( Book )

1 edition published in 1883 in Spanish and held by 1 WorldCat member library worldwide

 
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Harmonic analysis on semigroups : theory of positive definite and related functions
Covers
Harmonic analysis on semigroups : theory of positive definite and related functionsPotential Theory Copenhagen 1979 : Proceedings of a Colloquium Held in Copenhagen, May 14-18, 1979Potential theory Copenhagen 1979 : proceedings of a colloquium ; Copenhagen, May 14-18, 1979Potential theory : Copenhagen 1979 ; proceedings of a colloquium, held in Copenhagen, May 14-18, 1979
Alternative Names
Berg, C.

Berg, C. 1944-

Berg, Christian

Languages
English (80)

German (10)

French (5)

Latin (3)

Danish (2)

Spanish (1)