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Introduction to Model Spaces and their Operators

Introduction to Model Spaces and their Operators

Stephan Ramon Garcia; Javad Mashreghi; William T. Ross

Cambridge University Press
2016
sidottu
The study of model spaces, the closed invariant subspaces of the backward shift operator, is a vast area of research with connections to complex analysis, operator theory and functional analysis. This self-contained text is the ideal introduction for newcomers to the field. It sets out the basic ideas and quickly takes the reader through the history of the subject before ending up at the frontier of mathematical analysis. Open questions point to potential areas of future research, offering plenty of inspiration to graduate students wishing to advance further.
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Matrix Mathematics

Matrix Mathematics

Stephan Ramon Garcia; Roger A. Horn

Cambridge University Press
2023
sidottu
Using a modern matrix-based approach, this rigorous second course in linear algebra helps upper-level undergraduates in mathematics, data science, and the physical sciences transition from basic theory to advanced topics and applications. Its clarity of exposition together with many illustrations, 900+ exercises, and 350 conceptual and numerical examples aid the student's understanding. Concise chapters promote a focused progression through essential ideas. Topics are derived and discussed in detail, including the singular value decomposition, Jordan canonical form, spectral theorem, QR factorization, normal matrices, Hermitian matrices, and positive definite matrices. Each chapter ends with a bullet list summarizing important concepts. New to this edition are chapters on matrix norms and positive matrices, many new sections on topics including interpolation and LU factorization, 300+ more problems, many new examples, and color-enhanced figures. Prerequisites include a first course in linear algebra and basic calculus sequence. Instructor's resources are available.
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Finite Blaschke Products and Their Connections

Finite Blaschke Products and Their Connections

Stephan Ramon Garcia; Javad Mashreghi; William T. Ross

Springer Nature Switzerland AG
2018
nidottu
This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields. Old favorites such as the Carathéodory approximation and the Pick interpolation theorems are featured, as are many topics that have never received a modern treatment, such as the Bohr radius and Ritt's theorem on decomposability. Deep connections to hyperbolic geometry are explored, as are the mapping properties, zeros, residues, and critical points of finite Blaschke products. In addition, model spaces, rational functions with real boundary values, spectral mapping properties of the numerical range, and the Darlington synthesis problem from electrical engineering are also covered.Topics are carefully discussed, and numerous examples and illustrations highlight crucial ideas. While thorough explanations allow the reader to appreciate the beauty of the subject, relevant exercises following each chapter improve technical fluency with the material. With much of the material previously scattered throughout mathematical history, this book presents a cohesive, comprehensive and modern exposition accessible to undergraduate students, graduate students, and researchers who have familiarity with complex analysis.
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Finite Blaschke Products and Their Connections

Finite Blaschke Products and Their Connections

Stephan Ramon Garcia; Javad Mashreghi; William T. Ross

Springer International Publishing AG
2018
sidottu
This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields. Old favorites such as the Carathéodory approximation and the Pick interpolation theorems are featured, as are many topics that have never received a modern treatment, such as the Bohr radius and Ritt's theorem on decomposability. Deep connections to hyperbolic geometry are explored, as are the mapping properties, zeros, residues, and critical points of finite Blaschke products. In addition, model spaces, rational functions with real boundary values, spectral mapping properties of the numerical range, and the Darlington synthesis problem from electrical engineering are also covered.Topics are carefully discussed, and numerous examples and illustrations highlight crucial ideas. While thorough explanations allow the reader to appreciate the beauty of the subject, relevant exercises following each chapter improve technical fluency with the material. With much of the material previously scattered throughout mathematical history, this book presents a cohesive, comprehensive and modern exposition accessible to undergraduate students, graduate students, and researchers who have familiarity with complex analysis.
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A maldição no território

A maldição no território

Álvaro Ramón García Benavides

Edicoes Nosso Conhecimento
2025
pokkari
Este estudo reavalia La maldici n (1859), de Manuel Mar a Madiedo, para al m da sua classifica o tradicional como literatura costumbrista. Com base na narratologia, na geografia hist rica e na est tica neobarroca, o livro explora a forma como o romance se relaciona com as tens es culturais, raciais e territoriais da Col mbia do s culo XIX. O livro situa a figura do arrochelado e dos libres de todos los colores da regi o no centro da narrativa nacional, revelando hist rias submersas e formas alternativas de habita o ao longo do rio Magdalena. Atrav s da ambiguidade narrativa, da ironia e das paisagens simb licas, a obra de Madiedo critica os ideais liberais e cria uma forma liter ria h brida que desafia as representa es hegem nicas do espa o e da identidade. Ao descobrir estas camadas, a investiga o contribui para discuss es mais alargadas sobre a ag ncia subalterna, a forma liter ria e a constru o cultural do territ rio colombiano.
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Der Fluch des Territoriums: Re-reading 19th-cent. Kolumbianische Literatur

Der Fluch des Territoriums: Re-reading 19th-cent. Kolumbianische Literatur

Álvaro Ramón García Benavides

Verlag Unser Wissen
2025
nidottu
In dieser Studie wird Manuel Mar a Madiedos La maldici n (1859) jenseits seiner traditionellen Klassifizierung als costumbrista-Literatur neu bewertet. Auf der Grundlage von Narratologie, historischer Geographie und neobarocker sthetik untersucht das Buch, wie sich der Roman mit den kulturellen, rassischen und territorialen Spannungen im Kolumbien des 19. Jahrhunderts auseinandersetzt. Es stellt die Figur des arrochelado und die libres de todos los colores der Region in den Mittelpunkt der nationalen Erz hlung und zeigt untergegangene Geschichten und alternative Formen der Besiedlung entlang des Magdalena-Flusses auf. Durch erz hlerische Mehrdeutigkeit, Ironie und symbolische Landschaften kritisiert Madiedos Werk liberale Ideale und stellt eine hybride literarische Form dar, die hegemoniale Darstellungen von Raum und Identit t in Frage stellt. Durch die Freilegung dieser Schichten tr gt die Untersuchung zu einer breiteren Diskussion ber subalterne Akteure, literarische Formen und die kulturelle Konstruktion des kolumbianischen Territoriums bei.
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La malédiction dans le territoire: Relecture de la littérature colombienne du 19e siècle 19e siècle

La malédiction dans le territoire: Relecture de la littérature colombienne du 19e siècle 19e siècle

Álvaro Ramón García Benavides

Editions Notre Savoir
2025
nidottu
Cette tude r value La maldici n (1859) de Manuel Mar a Madiedo au-del de sa classification traditionnelle dans la litt rature costumbrista. S'appuyant sur la narratologie, la g ographie historique et l'esth tique n obaroque, le livre explore la fa on dont le roman s'engage dans les tensions culturelles, raciales et territoriales de la Colombie du XIXe si cle. Il situe la figure de l'arrochelado et les libres de todos los colores de la r gion au coeur du r cit national, r v lant des histoires submerg es et des formes alternatives d'habitation le long du fleuve Magdalena. Gr ce l'ambigu t narrative, l'ironie et aux paysages symboliques, l'oeuvre de Madiedo critique les id aux lib raux et met en oeuvre une forme litt raire hybride qui remet en question les repr sentations h g moniques de l'espace et de l'identit . En d voilant ces strates, la recherche contribue des discussions plus larges sur l'agence subalterne, la forme litt raire et la construction culturelle du territoire colombien.
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La maledizione nel territorio: Rileggere la letteratura colombiana del XIX sec. Letteratura colombiana del XIX secolo

La maledizione nel territorio: Rileggere la letteratura colombiana del XIX sec. Letteratura colombiana del XIX secolo

Álvaro Ramón García Benavides

Edizioni Sapienza
2025
nidottu
Questo studio rivaluta La maldici n (1859) di Manuel Mar a Madiedo al di l della sua tradizionale classificazione come letteratura costumbrista. Basandosi sulla narratologia, sulla geografia storica e sull'estetica neobarocca, il libro esplora il modo in cui il romanzo affronta le tensioni culturali, razziali e territoriali della Colombia del XIX secolo. Colloca la figura dell'arrochelado e dei libres de todos los colores della regione al centro della narrazione nazionale, rivelando storie sommerse e forme alternative di abitazione lungo il fiume Magdalena. Attraverso l'ambiguit narrativa, l'ironia e i paesaggi simbolici, l'opera di Madiedo critica gli ideali liberali e mette in atto una forma letteraria ibrida che sfida le rappresentazioni egemoniche dello spazio e dell'identit . Scoprendo questi strati, la ricerca contribuisce a discussioni pi ampie sull'agency subalterna, sulla forma letteraria e sulla costruzione culturale del territorio colombiano.
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Klątwa na terytorium: Re-reading 19th-cent. Literatura kolumbijska

Klątwa na terytorium: Re-reading 19th-cent. Literatura kolumbijska

Álvaro Ramón García Benavides

Wydawnictwo Nasza Wiedza
2025
nidottu
Niniejsze studium ponownie ocenia powieśc La maldici n (1859) Manuela Mar i Madiedo poza jej tradycyjną klasyfikacją jako literatury kostiumowej. Opierając się na narratologii, geografii historycznej i estetyce neobaroku, książka bada, w jaki spos b powieśc angażuje się w kulturowe, rasowe i terytorialne napięcia XIX-wiecznej Kolumbii. Umiejscawia postac arrochelado i regionalnych libres de todos los colores w samym sercu narodowej narracji, ujawniając zatopione historie i alternatywne formy zamieszkiwania wzdluż rzeki Magdaleny. Poprzez dwuznacznośc narracji, ironię i symboliczne krajobrazy, praca Madiedo krytykuje liberalne idealy i tworzy hybrydową formę literacką, kt ra rzuca wyzwanie hegemonicznym reprezentacjom przestrzeni i tożsamości. Odkrywając te warstwy, badania przyczyniają się do szerszych dyskusji na temat subalternalnej agencji, formy literackiej i kulturowej konstrukcji terytorium Kolumbii.
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Other Countries

Other Countries

Ramn Garcia; Ramon Garcia; Ram N. Garcia

What Books Press
2010
nidottu
Set in agricultural, chicano neighborhoods of Modesto, California, where the poet grew up, as well as in gritty Hollywood streets, and hip downtown Los Angeles, these poems are beautiful and moving, telling the stories of real people, each one of whom is an "other country." There are allusions to fairy tales (Lorca, Walt Whitman, Colette, Rimbaud), tales of getting green crds, of small town drag queens, of landscape, love, and language.
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Menopause: A Guide for Women & Those Who Love Them

Menopause: A Guide for Women & Those Who Love Them

Winnifred Cutler; Delso-Ramon Garcia

W. W. Norton Company
1993
nidottu
Here is a comprehensive guide to the changes, in lifestyle as well as in body, that menopause brings. When the first edition of the book was published in 1983, reviewers hailed it as the most authoritative and accessible volume ever written on menopause and the general health and well-being of menopausal women. Now in paperback for the first time, the completely updated Revised Edition includes several new chapters exploring such crucial women's health topics as the importance of good nutrition and exercise, overcoming smoking and obesity, and improving cardiovascular health. Information on the pros and cons of hormone replacement therapy (HRT), as well as advice for women who cannot take hormones, is included, as is advice on osteoporosis and on when surgery such as hysterectomy is and is not warranted. Throughout the book, in their own candid words, menopausal women relate their experiences going through this transition. Menopause is a guide to living a long, health life and understanding the natural course of the female body.
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