Spectral Theory and Analytic Geometry over Non-Archimedean Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Theory and Analytic Geometry over Non-Archimedean Fields write by Vladimir G. Berkovich. This book was released on 2012-08-02. Spectral Theory and Analytic Geometry over Non-Archimedean Fields available in PDF, EPUB and Kindle. The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, these analytic spaces have the usual topological properties of a complex analytic space, such as local compactness and local arcwise connectedness. This makes it possible to apply the usual notions of homotopy and singular homology. The book includes a homotopic characterization of the analytic spaces associated with certain classes of algebraic varieties and an interpretation of Bruhat-Tits buildings in terms of these analytic spaces. The author also studies the connection with the earlier notion of a rigid analytic space. Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators. This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry. It would be of interest to research mathematicians and graduate students working in algebraic geometry, number theory, and -adic analysis.
Lectures on Formal and Rigid Geometry
Lectures on Formal and Rigid Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Formal and Rigid Geometry write by Siegfried Bosch. This book was released on 2014-08-22. Lectures on Formal and Rigid Geometry available in PDF, EPUB and Kindle. The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This Lecture Notes Volume is a revised and slightly expanded version of a preprint that appeared in 2005 at the University of Münster's Collaborative Research Center "Geometrical Structures in Mathematics".
Non-Archimedean Operator Theory
Non-Archimedean Operator Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Archimedean Operator Theory write by Toka Diagana. This book was released on 2016-04-07. Non-Archimedean Operator Theory available in PDF, EPUB and Kindle. This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized and used as an important tool in the study of the spectral theory of non-Archimedean operators. Explicit descriptions of the spectra of some operators are worked out. Moreover, detailed background materials on non-Archimedean valued fields and free non-Archimedean Banach spaces are included for completeness and for reference. The readership of the book is aimed toward graduate and postgraduate students, mathematicians, and non-mathematicians such as physicists and engineers who are interested in non-Archimedean functional analysis. Further, it can be used as an introduction to the study of non-Archimedean operator theory in general and to the study of spectral theory in other special cases.
Non-Archimedean Analysis
Non-Archimedean Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Archimedean Analysis write by Siegfried Bosch. This book was released on 2012-06-28. Non-Archimedean Analysis available in PDF, EPUB and Kindle. : So eine Illrbeit witb eigentIid) nie rertig, man muli iie fur fertig erfHiren, wenn man nad) 8eit nnb Umftiinben bas moglid)fte get an qat. (@oetqe
Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields
Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields write by Anatoly Kochubei. This book was released on 2001-08-03. Pseudo-Differential Equations And Stochastics Over Non-Archimedean Fields available in PDF, EPUB and Kindle. Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat
