1.

Record Nr.

UNINA9910955132303321

Autore

Simon Barry <1946->

Titolo

Szegö's theorem and its descendants : spectral theory for L2 perturbations of orthogonal polynomials / / Barry Simon

Pubbl/distr/stampa

Princeton, N.J., : Princeton University Press, 2010

ISBN

9786612821158

9781282821156

1282821156

9781400837052

1400837057

Edizione

[Course Book]

Descrizione fisica

1 online resource (663 p.)

Collana

Porter Lectures ; ; 6

Classificazione

SK 680

Disciplina

515/.55

Soggetti

Spectral theory (Mathematics)

Orthogonal polynomials

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Contents -- Preface -- Chapter One. Gems of Spectral Theory -- Chapter Two. Szegő's Theorem -- Chapter Three The Killip-Simon Theorem: Szegő for OPRL -- Chapter Four. Sum Rules and Consequences for Matrix Orthogonal Polynomials -- Chapter Five. Periodic OPRL -- Chapter Six. Toda Flows and Symplectic Structures -- Chapter Seven. Right Limits -- Chapter Eight. Szegő and Killip-Simon Theorems for Periodic OPRL -- Chapter Nine. Szegő's Theorem for Finite Gap OPRL -- Chapter Ten. A.C. Spectrum for Bethe-Cayley Trees -- Bibliography -- Author Index -- Subject Index

Sommario/riassunto

This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic functions on hyperelliptic surfaces and the study of covering maps of the Riemann sphere with a finite number of slits removed. This allows for the first book-length treatment of orthogonal polynomials for



measures supported on a finite number of intervals on the real line. In addition to the Szego and Killip-Simon theorems for orthogonal polynomials on the unit circle (OPUC) and orthogonal polynomials on the real line (OPRL), Simon covers Toda lattices, the moment problem, and Jacobi operators on the Bethe lattice. Recent work on applications of universality of the CD kernel to obtain detailed asymptotics on the fine structure of the zeros is also included. The book places special emphasis on OPRL, which makes it the essential companion volume to the author's earlier books on OPUC.

2.

Record Nr.

UNINA9910971286103321

Autore

Berman Marcelo Samuel

Titolo

Realization of Einstein's machian program / / Marcelo Samuel Berman

Pubbl/distr/stampa

New York, : Nova Science Publishers, c2012

ISBN

1-61942-196-8

Edizione

[1st ed.]

Descrizione fisica

1 online resource (180 p.)

Collana

Distinguished men and women of science, medicine and the arts

Disciplina

523.1

Soggetti

Cosmic rotation

General relativity (Physics)

Cosmology

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

""REALIZATION OF EINSTEINâ€?S  MACHIAN PROGRAM""; ""REALIZATION OF EINSTEINâ€?S  MACHIAN PROGRAM""; ""Contents""; ""Preface""; ""Part I INTRODUCTION AND BACKGROUND""; ""Introduction: What is the Einsteinâ€?s Machian Program?""; ""Philosophical and Mathematical Matters""; ""1.1.NewtonianConceptsofSpaceandTime""; ""1.2.ObjectionstoNewtonâ€?sCosmology""; ""1.3.Machâ€?sPrinciple""; ""1.4.ThePotentialforGravitation""; ""1.5.EquivalencePrinciple""; ""1.6.ThePrinciplesof(General)Relativity,Covariance,andSimplicity""; ""1.7.Principlesof“CosmicTimeâ€?and“Correspondenceâ€?""

""1.8.RevisitingMach�sPrinciple""""Introductory Cosmological Models""; ""2.1.DerivationoftheHomogeneousandIsotropicMetric""; ""2.2.Einstein�sFieldEquationsforCosmology""; ""2.3.



ConstantDecelerationParameterModels""; ""2.4.CosmologicalRed-Shift""; ""2.5.Hubble�sLaw""; ""2.6.CosmologicalModelforLargeLambda""; ""2.7.Inflation""; ""2.8.Planck�sUniverseandtheL-problem""; ""2.9.Raychaudhuri�sEquationandanAlternativeForm""; ""2.10.GeodesicsforPhotons,Particles,andTachyonsinRobertson�Walker�sCosmology""; ""IntroductiontotheProblem""; ""NullGeodesics""

""GeodesicsforParticlesandTachyonsinaflatUniverse""""2.11.EnergyofRobertson�Walker�sUniverse""; ""2.12.TheZero-TotalEnergyDensityoftheUniverse""; ""2.13.TheCosmologicalNewtonianLimitofGeneralRelativity""; ""Part II THE PIONEERS AND FLY-BY ANOMALIES""; ""The Pioneers Anomaly and a Machian Universe""; ""3.1.BriefHistoryofthePioneersAnomaly""; ""3.2.TheZero-TotalEnergyMachianUniverse""; ""Application1�ThePioneersAnomalies""; ""Application2�MagneticFieldoftheUniverse""; ""Application3�Time-VaryingNeutrinoMass""; ""Atheoryforneutrinosenergydensity""

""Application4-AreMassandLengthQuantized?""""Macromassandmicromass""; ""Quantizationofgeometry""; ""RemovalofinitialsingularityinCosmology""; ""3.3.Dirac�sLNHwithTime-VaryingFundamental“Constants�""; ""Power-LawVariations""; ""ExponentialInflation""; ""RotationoftheUniverse""; ""ProsandConsofthePresentCalculations""; ""3.4.OnSciama�sMachianOriginofInertia""; ""Sciama�sInertiaModel""; ""GraneauandGraneau�sTheory""; ""Conclusions""; ""3.5.Sciama�sMachianUniverse""; ""OnBerry�sMachianArgument""; ""GravitationalRadiationinSciama�sMachianModel""; ""QuadrupoleandDipoleRadiation""

""TemperatureoftheUniverse.Entropy""""Conclusions""; ""3.6.ExactBrans�DickeRelationandVariableSpeedofLight""; ""PioneersAnomalySolution""; ""Conclusions""; ""Relativistic Cosmology and the Pioneers Anomaly""; ""4.1.GeneralizedRobertson�Walker�sMetric:RotationPlusExpansion""; ""Zero-TotalEnergy-DensityoftheRotatingEvolutionaryUniverse""; ""4.2.GeneralizedRobertson�Walker�sMetric:RotationPlusExpansion�II""; ""RotatingEvolutionaryMetrics""; ""GeneralizedGaussianMetrics""; ""SomeComments""; ""4.3.ThePioneersAnomalyandaMachianGeneralRelativisticModel""

""EnergyoftheRotatingEvolutionaryUniverse""

Sommario/riassunto

This book is a solution of the so-called Einstein's Machian Program, that left Einstein very angry and frustrated, for he was unable to reconcile Relativity Theories with Ernst Mach ideas, that by looking into the Cosmos as a whole, absolute motion could be found. About one hundred years ago, the discussion led to no conclusions among physicists, so that now Berman found that the existence of a Universal rotation, was compatible with General Relativity, and that this rotation is absolute . Berman thus solved the problem.



3.

Record Nr.

UNINA9910968464803321

Autore

Hitchens Lesley

Titolo

Broadcasting pluralism and diversity : a comparative study of policy and regulation / Lesley Hitchens

Pubbl/distr/stampa

Oxford ; Portland, Oregon, : Hart Publishing, 2006

ISBN

9786610829255

9781472559975

1472559975

9781280829253

1280829257

9781847312815

1847312810

Edizione

[1st ed.]

Descrizione fisica

1 online resource (370 p.)

Disciplina

384.54/4308

Soggetti

Broadcasting policy

Cultural pluralism

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (pages [321]-324) and index

Nota di contenuto

PART I: INTRODUCTORY MATTERS -- 1: Introduction -- 2: Policy Rationales and Implications for Regulation -- PART II: REGULATORY APPROACHES -- 3: Structural Regulation -- 4: Content Regulation -- 5: Competition Regulation -- PART III: REGULATORY FUTURES -- 6: Broadcasting and Economic Issues -- 7: Reforming Broadcasting Pluralism Regulation

Sommario/riassunto

Broadcasting Pluralism and Diversity is a study of the policy and regulatory measures relating to the promotion of media diversity in three jurisdictions: the United Kingdom, the United States, and Australia. A central focus of the book is regulation of media ownership and control, and, taking an historical approach, the book argues that early policy and regulatory decisions continue to have a significant influence on current reforms. Whilst policy and reform debates focus on ownership and control measures, the book also argues that such measures can not be considered in isolation from other regulatory instruments, and that a holistic regulatory approach is required. As



such, content regulation and competition regulation are also considered. Underlying the study is the contention that much of the policy informing pluralism and diversity regulation, although making reference to the importance of the media's role in the democratic process, has also been skewed by a futile focus on the different regulatory treatment of the press and broadcasting, which is adversely influencing current policy debates. The book argues that a different approach, using the public sphere concept, needs to be adopted and used as a measure against which regulatory reform in the changing media environment can be assessed