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Author: Joseph A. Ball Publisher: Cambridge University Press ISBN: 131651899X Category : Mathematics Languages : en Pages : 439
Book Description
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Author: Joseph A. Ball Publisher: Cambridge University Press ISBN: 131651899X Category : Mathematics Languages : en Pages : 439
Book Description
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Author: Daniel Alpay Publisher: Springer Nature ISBN: 3031214609 Category : Mathematics Languages : en Pages : 424
Book Description
This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.
Author: Jim Agler Publisher: Cambridge University Press ISBN: 1108485448 Category : Mathematics Languages : en Pages : 393
Book Description
This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.
Author: M. Amélia Bastos Publisher: Springer Nature ISBN: 3030519457 Category : Mathematics Languages : en Pages : 654
Book Description
This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.
Author: Hideaki Ikoma Publisher: Cambridge University Press ISBN: 1108998194 Category : Mathematics Languages : en Pages : 180
Book Description
The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell–Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole.
Author: Annette Huber Publisher: Cambridge University Press ISBN: 1009022717 Category : Mathematics Languages : en Pages : 266
Book Description
This exploration of the relation between periods and transcendental numbers brings Baker's theory of linear forms in logarithms into its most general framework, the theory of 1-motives. Written by leading experts in the field, it contains original results and finalises the theory of linear relations of 1-periods, answering long-standing questions in transcendence theory. It provides a complete exposition of the new theory for researchers, but also serves as an introduction to transcendence for graduate students and newcomers. It begins with foundational material, including a review of the theory of commutative algebraic groups and the analytic subgroup theorem as well as the basics of singular homology and de Rham cohomology. Part II addresses periods of 1-motives, linking back to classical examples like the transcendence of π, before the authors turn to periods of algebraic varieties in Part III. Finally, Part IV aims at a dimension formula for the space of periods of a 1-motive in terms of its data.
Author: Jonathan Pila Publisher: Cambridge University Press ISBN: 1009170325 Category : Mathematics Languages : en Pages : 267
Book Description
Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.
Author: Joseph A. Ball
Author: Joseph A. Ball
Author: Marek Ptak
Author: Daniel Alpay
Author: Jim Agler
Author: M. Amélia Bastos
Author: Hideaki Ikoma
Author: Shmuel Weinberger
Author: János Kollár
Author: Annette Huber
Author: Jonathan Pila