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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
608   $aElectronic books.
615  0$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
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906   $aBOOK
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200 10$aBy Major Generall Lambert$b[electronic resource] $eWhereas compliants are daily made of the great damage sustained by many, and hinderance of commerce and trading, by the differing values of coyn in severall parts of this nation ..
210   $aPrinted at Leith $cBy Evan Tyler$dAnno Dom. 1651
215   $a1 sheet ([1] p.)
300   $a"Given under my hand and seal at Edinburgh, the 29. of December 1651."
300   $aInitial.
300   $aReproduction of original in: Beinecke Rare Book and Manuscript Library.
330   $aeebo-0009
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607   $aGreat Britain$xHistory$yCommonwealth and Protectorate, 1649-1660$vEarly works to 1800
608   $aBroadsides$zScotland$y17th century.$2rbgenr
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