Semigroups of Operators - Theory and Applications : SOTA, Kazimierz Dolny, Poland, September/October 2018 /: SOTA, Kazimierz Dolny, Poland, September/October 2018. (2020)

• Record Type: Book
• Further Information: Note: Edited by Jacek Banasiak, Adam Bobrowski, Miroslaw Lachowicz, Yuri Tomilov.
• Editors: Banasiak, Jacek; Bobrowski, Adam; Lachowicz, Mirosław; Tomilov, Yuri
• Contents: Intro -- Preface -- Contents -- 85th Birthday Lecture -- Topologies in the Set of Rapidly Decreasing Distributions -- 1 Introduction -- 2 The Fréchet Spaces S1µ(mathbbRn), µin[0, infty[, and the J. Horváth Space mathcalOC(mathbbRn)=lim indµtoinftySµ1 (mathbbRn) -- 3 The Isomorphisms of Horváth -- 4 Translation of the Language of L. Schwartz's Convergence Space mathcalOC'(mathbbRn) into the Language of Locally Convex Spaces -- 5 The Set RD(mathbbRn) of Rapidly Decreasing Distributions on mathbbRn and the Locally Convex Space (RD(mathbbRn), widetildeb) 6 The Subset RD(mathbbRn) of mathcalS'(mathbbRn) -- 7 The Operator Topology in RD(mathbbRn) -- 8 Locally Convex Space (RD(mathbbRn), op) and Fourier Transformation -- 8.1 The Fourier Transformation in mathcalS'(mathbbRn) -- 8.2 mathcalOM(mathbbRn) as the Algebra of Multipliers of mathcalS(mathbbRn) -- 8.3 The Set of Continuous Linear Operators of mathcalS(mathbbRn) into Itself as a Locally Convex Space -- References -- Theory -- The Method of Chernoff Approximation -- 1 Introduction -- 2 Chernoff Approximations for Operator Semigroups and Further Applications 2.1 Chernoff Approximations for the Procedure of Operator Splitting -- 2.2 Chernoff Approximations for Feller Semigroups -- 2.3 Chernoff Approximations for Multiplicative Perturbations of a Generator -- 2.4 Chernoff Approximations for Semigroups Generated by Processes in a Domain with Prescribed Behaviour at the Boundary of/Outside the Domain -- 2.5 Chernoff Approximations for Subordinate Semigroups -- 2.6 Approximation of Solutions of Time-Fractional Evolution Equations -- 2.7 Chernoff Approximations for Schrödinger Groups -- References Laplacians with Point Interactions-Expected and Unexpected Spectral Properties -- 1 Introduction -- 2 Function Spaces, Operators and Boundary Conditions -- 3 Generator Properties and Examples -- 4 Cayley Transforms -- 4.1 M-Sectorial Boundary Conditions -- 4.2 The Case dim`3́9`42`""̇613A``45`47`""603AKera =0 and dim`3́9`42`""̇613A``45`47`""603AKerB =1 -- 4.3 The Case dim`3́9`42`""̇613A``45`47`""603AKera =1 and dim`3́9`42`""̇613A``45`47`""603AKerB =1 -- 5 Resolvent Estimates -- 6 Proof of Theorem 1 -- 7 Invariance Properties -- References Remarks on a Characterization of Generators of Bounded C0-Semigroups -- 1 Introduction -- 2 Main Result -- 3 Comments on Conditions (1) and (5) -- 3.1 Condition (1) -- 3.2 Condition (5) -- References -- Semigroups Associated with Differential-Algebraic Equations -- 1 Introduction -- 2 Preliminaries -- 3 Wong Sequences -- 4 Necessary Conditions for C0-Semigroups -- 5 Pencils with Polynomially Bounded Resolvent -- References -- Positive Degenerate Holomorphic Groups of the Operators and Their Applications -- 1 Introduction -- 2 Positive Degenerate Holomorphic Groups of Operators
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource, illustrations (black and white, and colour)
• Subjects: 515; Mathematical analysis; Analysis (Mathematics); Applied mathematics; Engineering mathematics; Probabilities; Biomathematics; Biomathematics; Engineering mathematics; Mathematical analysis; Probabilities; Applied mathematics; Probability & statistics; Maths for scientists; Calculus & mathematical analysis; Mathematics -- Applied; Mathematics -- Probability & Statistics -- General; Mathematics -- Mathematical Analysis; Electronic books
• Languages: English
• ISBNs: 9783030460792; 3030460797
• Related ISBNs: 9783030460785; 3030460789
• 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.