£60.95

Positive Definite Functions on Infinite-Dimensional Convex Cones (Memoirs of the American Mathematical Society)

Algebra

Price data last checked 94 day(s) ago - refreshing...

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

This is the most expensive it has ever been. Walk away.

£61 today · previous high £61 · all-time low £58

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 637 days • 637 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 637 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £61 (606 days, 95.1%)

Price range: £58 - £61

Price levels: 2 different prices over 637 days

Description

This memoir is devoted to the study of positive definite functions on convex subsets of finite- or infinite-dimensional vector spaces, and to the study of representations of convex cones by positive operators on Hilbert spaces. Given a convex subset $\Omega\sub V$ of a real vector space $V$, we show that a function $\phi\!:\Omega\to\mathbb{R}$ is the Laplace transform of a positive measure $\mu$ on the algebraic dual space $V^*$ if and only if $\phi$ is continuous along line segments and positive definite. If $V$ is a topological vector space and $\Omega\sub V$ an open convex cone, or a convex cone with non-empty interior, we describe sufficient conditions for the existence of a representing measure $\mu$ for $\phi$ on the topological dual space$V$.The results are used to explore continuity properties of positive definite functions on convex cones, and their holomorphic extendibility to positive definite functions on the associated tubes $\Omega+iV\sub V_{\mathbb{C}}$. We also study the interplay between positive definite functions and representations of convex cones, and derive various characterizations of those representations of convex cones on Hilbert spaces which are Laplace transforms of spectral measures. Furthermore, for scalar- or operator-valued positive definite functions which are Laplace transforms, we realize the associated reproducing kernel Hilbert space as an $L^2$-space $L^2(V^*,\mu)$ of vector-valued functions and link the natural translation operators on the reproducing kernel space to multiplication operators on $L^2(V^*,\mu)$, which gives us refined information concerning the norms of these operators.

Product Specifications

Format: Mass Market Paperback
ASIN: 0821832565
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 27 November 2003
Listed Since: 21 December 2006

Barcode

No barcode data available

Positive Definite Functions on Infinite-Dimensional Convex Cones (Memoirs of the American Mathematical Society)

This is the most expensive it has ever been. Walk away.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Theory of Reproducing Kernels and Applications: 44 (Developments in Mathematics, 44)

History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49)

Vector-valued Laplace Transforms and Cauchy Problems: Second Edition: 96 (Monographs in Mathematics, 96)

The Riesz Transform of Codimension Smaller Than One and the Wolff Energy (Memoirs of the American Mathematical Society)

Degenerate Elliptic Equations: 258 (Mathematics and Its Applications, 258)

Recent Developments in the Theory of Lorentz Spaces and Weighted Inequalities (Memoirs of the American Mathematical Society)

Boundary Value Problems with Global Projection Conditions: 265 (Operator Theory: Advances and Applications, 265)

Mathematical Methods in Physics: Distributions, Hilbert Space Operators, Variational Methods, and Applications in Quantum Physics: 69 (Progress in Mathematical Physics, 69)

Introduction to the Theory and Application of the Laplace Transformation

The Lévy Laplacian: 166 (Cambridge Tracts in Mathematics, Series Number 166)

An Operator Theory Problem Book

Pseudo-Differential Operators, Generalized Functions and Asymptotics: 231 (Operator Theory: Advances and Applications, 231)

Operator Theory, Pseudo-Differential Equations, and Mathematical Physics: The Vladimir Rabinovich Anniversary Volume: 228 (Operator Theory: Advances and Applications, 228)

The Mellin Transformation and Fuchsian Type Partial Differential Equations: 56 (Mathematics and its Applications, 56)

The Backward Shift on the Hardy Space (Mathematical Surveys & Monographs)

C*-Algebras and Elliptic Operators in Differential Topology: 192 (Translations of Mathematical Monographs)

Representations on Krein Spaces [Hot] and Derivations of C*-Algebras: 89 (Monographs and Surveys in Pure and Applied Mathematics)

Non-Archimedean Operator Theory (SpringerBriefs in Mathematics)

Harmonic Analysis on Commutative Spaces (Mathematical Surveys & Monographs)

Cambridge Operator Analysis: Hilbert Space Methods in Complex Analysis

A Course In Analysis - Vol V: Functional Analysis, Some Operator Theory, Theory Of Distributions

Harmonic Analysis on Symmetric Spaces―Higher Rank Spaces, Positive Definite Matrix Space and Generalizations

Measure and Integral: An Introduction to Real Analysis, Second Edition (Chapman & Hall/CRC Pure and Applied Mathematics)

Spectral Theory of Non-Self-Adjoint Two-Point Differential Operators (Mathematical Surveys and Monographs)