04065nam 2200649 450 991080703880332120220328215509.01-4704-0389-7(CKB)3360000000464975(EBL)3114472(SSID)ssj0000973887(PQKBManifestationID)11948273(PQKBTitleCode)TC0000973887(PQKBWorkID)10988937(PQKB)10263302(MiAaPQ)EBC3114472(RPAM)13336380(PPN)195416775(EXLCZ)99336000000046497520030908h20042004 uy| 0engur|n|---|||||txtccrThe role of the spectrum in the cyclic behavior of composition operators /Eva A. Gallardo-Gutiérrez, Alfonso Montes-RodríguezProvidence, Rhode Island :American Mathematical Society,[2004]©20041 online resource (98 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 791"Volume 167, number 791 (first of 5 numbers)."0-8218-3432-0 Includes bibliographical references (pages 79-81).""Contents""; ""Preface""; ""Chapter 1. Introduction and Preliminaries""; ""Weighted Hardy spaces""; ""The Dirichlet space""; ""The Hardy space""; ""Functional Hilbert spaces""; ""Composition operators""; ""Weighted Dirichlet spaces""; ""Equivalent norms on weighted Dirichlet spaces""; ""Linear fractional maps""; ""Iterates""; ""The Comparison Principle""; ""Main results""; ""Table I""; ""Table II""; ""Acknowledgment""; ""Chapter 2. Linear Fractional Maps with an Interior Fixed Point""; ""Non-elliptic linear fractional maps with an exterior fixed point""; ""Elliptic automorphism""""Interior and boundary fixed point""""Hypercyclicity""; ""The hyperbolic automorphism""; ""The Hypercyclic Criterion""; ""A Beurling type theorem""; ""The Inner Product Criterion""; ""Invariant subspaces of finite codimension""; ""Chapter 3. Non Elliptic Automorphisms""; ""Hypercyclicity""; ""The parabolic automorphism""; ""The hyperbolic automorphism""; ""The failure of the spectrum""; ""The eigenfunctions of C[sub([omitted])] [sub([omitted])] with a parabolic automorphism""; ""Cyclicity""; ""The Dirichlet space of the upper half plane""; ""The Hardy space of the upper half plane""""A Paley-Wiener Theorem for D[sub(Ï€)]""""The parabolic automorphism""; ""The hyperbolic automorphism""; ""Chapter 4. The Parabolic Non Automorphism""; ""Cyclicity""; ""Zeros of weighted Dirichlet functions""; ""Non hypercyclicity""; ""An appetizer""; ""The spectrum of C[sub([omitted])]""; ""The eigenfunctions form a spanning set""; ""Renorming S[sub(v)]""; ""Isometric functional Hilbert spaces""; ""A complete orthogonal system of L[sup(2)] (R[sup(+)],dt/t)""; ""The extension of the isometries""; ""The Laguerre polynomials""; ""Chapter 5. Supercyclic Linear Fractional Composition Operators""""The easy part""""The parabolic non-automorphism""; ""The Angle Criterion""; ""The adjoint of C[sub([omitted])]""; ""A three term recurrence formula""; ""An integration formula""; ""Endnotes""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 791.Function spacesLinear operatorsFunctions of complex variablesHypergeometric functionsFunction spaces.Linear operators.Functions of complex variables.Hypergeometric functions.510 s515/.7246Gallardo-Gutiérrez Eva A.1973-1608768Montes-Rodríguez Alfonso1961-MiAaPQMiAaPQMiAaPQBOOK9910807038803321The role of the spectrum in the cyclic behavior of composition operators3935688UNINA04807nam 22006614a 450 991081193060332120230607220453.00-19-770584-71-280-53175-497866105317520-19-530286-90-19-803315-X1-60256-849-9(CKB)1000000000245529(OCoLC)61227812(CaPaEBR)ebrary10103561(SSID)ssj0000114419(PQKBManifestationID)11140647(PQKBTitleCode)TC0000114419(PQKBWorkID)10102511(PQKB)10214295(Au-PeEL)EBL3051991(CaPaEBR)ebr10103561(CaONFJC)MIL53175(Au-PeEL)EBL279589(OCoLC)935262007(MiAaPQ)EBC3051991(EXLCZ)99100000000024552920000929d2001 uy 0engurcn|||||||||txtccrBrave new brain[electronic resource] conquering mental illness in the era of the genome /Nancy C. AndreasenOxford ;New York Oxford University Press20011 online resource (389 p.) Bibliographic Level Mode of Issuance: Monograph0-19-516728-7 0-19-514509-7 Includes bibliographical references and index.Intro -- Contents -- Preface -- Part I: BROKEN BRAINS AND TROUBLED MINDS -- CHAPTER 1 Brave New Brain: Confronting the Burden of Mental Illness -- CHAPTER 2 A Waking Nightmare: Mental Illness and Ordinary People -- CHAPTER 3 Broken Brains, Troubled Minds: Being Blinded by False Dichotomies -- Part II: MIND MEETS MOLECULE -- CHAPTER 4 The Brain: The Mind's Dynamic Orchestra -- CHAPTER 5 Mapping the Genome: The Blueprint of Life ... and Death -- CHAPTER 6 Mapping the Mind: Using Neuroimaging to Observe How the Brain Thinks -- Part III: THE BURDEN OF MENTAL ILLNESS -- CHAPTER 7 Understanding What Mental Illnesses Are: The Past Is Prologue to Progress -- CHAPTER 8 Schizophrenia: A Mind Divided -- CHAPTER 9 Mood Disorders: Riding the Emotional Roller Coaster -- CHAPTER 10 Dementias: A Death in Life -- CHAPTER 11 Anxiety Disorders: The Stress Regulator Goes Wild -- Part IV: BRAVE NEW BRAIN -- CHAPTER 12 O Brave New World: Conquering Mental Illness in the Era of the Genome -- References and Suggested Readings -- Index.Nancy Andreasen, a leading neuroscientist who is also Editor-in-Chief of the prestigious American Journal of Psychiatry as well as the winner of the illustrious National Medal of Science, offers here a state-of-the-art look at what we know about the human brain and the human genome-and shows how these two vast branches of knowledge are coming together in a boldly ambitious effort to conquer mental illness. Scientists today know more about the brain than ever before, thanks to new imaging techniques and to discoveries in neuroscience and molecular biology. Andreasen gives us an engaging and readable description of how it all works, from the billions of neurons to the tiny thalamus to the moral monitor in our prefrontal cortex. She also shows the progress made in mapping the human genome, whose 30,000-40,000 genes are almost all active in the brain. In perhaps the most fascinating section of the book, we read gripping stories of the people who develop mental illness, the friends and relatives who share their suffering, the physicians who treat them, and the scientists who study them so that better treatments can be found.This section covers four major disorders-schizophrenia, manic depression, anxiety disorders, and dementia-revealing what causes them, what happens to the mind and brain, and how the illnesses are treated. Finally, the book shows how the powerful tools of genetics and neuroscience will be combined during the next decades to build healthier brains and minds. Andreasen's bestselling The Broken Brain broke new ground in the public understanding of mental illness. Now, by revealing how combining genome mapping with brain mapping can unlock the mysteries of mental illness, she again offers general readers a remarkably fresh perspective on these devastating diseases-their nature, treatment, and possible future prevention.Mental illnessMental illnessGenetic aspectsHuman genomeMental illness.Mental illnessGenetic aspects.Human genome.616.89/042Andreasen Nancy C784360MiAaPQMiAaPQMiAaPQBOOK9910811930603321Brave new brain4117779UNINA