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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aPositive definite functions on infinite-dimensional convex cones /$fHelge Glo?ckner
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2003.
215   $a1 online resource (150 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 789
300   $a"Volume 166, number 789 (second of 3 numbers)."
311   $a0-8218-3256-5 
320   $aIncludes bibliographical references and index.
327   $a""Contents""; ""Introduction""; ""Part I. Preliminaries and Preparatory Results""; ""1 Bounded and unbounded operators""; ""2 Cone-valued measures""; ""3 Measures on topological spaces""; ""4 Projective limits of cone-valued measures""; ""5 Holomorphic functions""; ""6 Involutive semigroups and their representations""; ""7 Positive definite kernels and functions""; ""8 C*-algebras associated with involutive semigroups""; ""9 Integral representations of positive definite functions""; ""10 Convex cones and their faces""; ""11 Examples of convex cones""
327   $a""12 Conelike semigroups: definition and examples""""13 Representations of conelike semigroups I""; ""14 Fourier and Laplace transforms""; ""15 Generalized Bochner and Stone Theorems""; ""Part II. Main Results""; ""16 Nussbaum Theorem for open convex cones""; ""17 Positive definite functions on convex cones with non-empty interior""; ""18 Positive definite functions on convex sets""; ""19 Associated Hilbert spaces and representations""; ""20 Nussbaum Theorem for generating convex cones""; ""21 Representations of conelike semigroups II""; ""22 Associated unitary representations""
327   $a""23 Holomorphic extension of unitary representations""""24 Holomorphic extension of representations of nuclear groups""; ""References""; ""Index""; ""List of Symbols""
410  0$aMemoirs of the American Mathematical Society ;$vno. 789.
606   $aHarmonic analysis
606   $aConvex bodies
606   $aRepresentations of groups
606   $aLaplace transformation
615  0$aHarmonic analysis.
615  0$aConvex bodies.
615  0$aRepresentations of groups.
615  0$aLaplace transformation.
676   $a510 s
676   $a515/.2433
700   $aGlo?ckner$b Helge$f1969-$01226
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910812751603321
996   $aPositive definite functions on infinite-dimensional convex cones$93952131
997   $aUNINA