Extensions of positive definite functions : applications and their harmonic analysis /: applications and their harmonic analysis. (2016)

• Record Type: Book
• Further Information: Note: Palle Jorgensen, Steen Pedersen, Feng Tian.
• Authors: Jørgensen, Palle E. T, 1947-; (Mathematician), Pedersen, Steen; Tian, Feng
• Contents: Intro; Foreword; Preface; Acknowledgments; Contents; List of Figures; List of Tables; Symbols; 1 Introduction; 1.1 Two Extension Problems; 1.1.1 Where to Find It; 1.2 Quantum Physics; 1.3 Stochastic Processes; 1.3.1 Early Roots; 1.3.2 An Application of Lemma 1.1: A Positive Definite Function on an Infinite Dimensional Vector Space; 1.4 Overview of Applications of RKHSs; 1.4.1 Connections to Gaussian Processes; 1.5 Earlier Papers; 1.6 Organization; 2 Extensions of Continuous Positive Definite Functions; 2.1 The RKHS HF; 2.1.1 An Isometry; 2.2 The Skew-Hermitian Operator D(F) in HF 7.2 Higher Dimensions8 Comparing the Different RKHSs HF and HK; 8.1 Applications; 8.2 Radially Symmetric Positive Definite Functions; 8.3 Connecting F and F When F Is a Positive Definite Function; 8.4 The Imaginary Part of a Positive Definite Function; 8.4.1 Connections to, and Applications of, Bochner's Theorem; 9 Convolution Products; 10 Models for, and Spectral Representations of, OperatorExtensions; 10.1 Model for Restrictions of Continuous p.d. Functions on R; 10.2 A Model of ALL Deficiency Index-(1, 1) Operators; 10.2.1 Momentum Operators in L2(0, 1); 10.2.2 Restriction Operators
• Publisher Details: Switzerland : Springer
• Publication Date: 2016
• Extent: 1 online resource (xxvi, 233 pages), illustrations (some color)
• Subjects: 515/.43; Mathematics; Definite integrals; Harmonic analysis; Topological Groups; Fourier analysis; Functional analysis; Distribution (Probability theory); Definite integrals; Mathematics -- Group Theory; Mathematics -- Mathematical Analysis; Mathematics -- Functional Analysis; Science -- Mathematical Physics; Mathematics -- Probability & Statistics -- General; Groups & group theory; Functional analysis & transforms; Mathematical physics; Probability & statistics; Complex analysis, complex variables; Electronic books
• Languages: English
• ISBNs: 9783319397801
• Related ISBNs: 331939780X; 9783319397795
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed July 14, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.