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The Fourfold Way In Real Analysis
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Book Synopsis The Fourfold Way in Real Analysis by : André Unterberger
Download or read book The Fourfold Way in Real Analysis written by André Unterberger and published by Springer Science & Business Media. This book was released on 2006-06-15 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourfold way starts with the consideration of entire functions of one variable satisfying specific estimates at infinity, both on the real line and the pure imaginary line. A major part of classical analysis, mainly that which deals with Fourier analysis and related concepts, can then be given a parameter-dependent analogue. The parameter is some real number modulo 2, the classical case being obtained when it is an integer. The space L2(R) has to give way to a pseudo-Hilbert space, on which a new translation-invariant integral still exists. All this extends to the n-dimensional case, and in the alternative to the metaplectic representation so obtained, it is the space of Lagrangian subspaces of R2n that plays the usual role of the complex Siegel domain. In fourfold analysis, the spectrum of the harmonic oscillator can be an arbitrary class modulo the integers. Even though the whole development touches upon notions of representation theory, pseudodifferential operator theory, and algebraic geometry, it remains completely elementary in all these aspects. The book should be of interest to researchers working in analysis in general, in harmonic analysis, or in mathematical physics.
Book Synopsis Alternative Pseudodifferential Analysis by : André Unterberger
Download or read book Alternative Pseudodifferential Analysis written by André Unterberger and published by Springer Science & Business Media. This book was released on 2008-09-03 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces an entirely new pseudodifferential analysis on the line, the opposition of which to the usual (Weyl-type) analysis can be said to reflect that, in representation theory, between the representations from the discrete and from the (full, non-unitary) series, or that between modular forms of the holomorphic and substitute for the usual Moyal-type brackets. This pseudodifferential analysis relies on the one-dimensional case of the recently introduced anaplectic representation and analysis, a competitor of the metaplectic representation and usual analysis. Besides researchers and graduate students interested in pseudodifferential analysis and in modular forms, the book may also appeal to analysts and physicists, for its concepts making possible the transformation of creation-annihilation operators into automorphisms, simultaneously changing the usual scalar product into an indefinite but still non-degenerate one.
Book Synopsis Representation Theory and Automorphic Forms by : Toshiyuki Kobayashi
Download or read book Representation Theory and Automorphic Forms written by Toshiyuki Kobayashi and published by Springer Science & Business Media. This book was released on 2007-10-10 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.
Book Synopsis D-Modules, Perverse Sheaves, and Representation Theory by : Ryoshi Hotta
Download or read book D-Modules, Perverse Sheaves, and Representation Theory written by Ryoshi Hotta and published by Springer Science & Business Media. This book was released on 2007-11-07 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.
Book Synopsis Infinite Groups: Geometric, Combinatorial and Dynamical Aspects by : Laurent Bartholdi
Download or read book Infinite Groups: Geometric, Combinatorial and Dynamical Aspects written by Laurent Bartholdi and published by Springer Science & Business Media. This book was released on 2005-12-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics include amenable groups, Kaehler groups, automorphism groups of rooted trees, rigidity, C*-algebras, random walks on groups, pro-p groups, Burnside groups, parafree groups, and Fuchsian groups. The accent is put on strong connections between group theory and other areas of mathematics.
Book Synopsis Pseudodifferential Methods in Number Theory by : André Unterberger
Download or read book Pseudodifferential Methods in Number Theory written by André Unterberger and published by Birkhäuser. This book was released on 2018-07-16 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classically developed as a tool for partial differential equations, the analysis of operators known as pseudodifferential analysis is here regarded as a possible help in questions of arithmetic. The operators which make up the main subject of the book can be characterized in terms of congruence arithmetic. They enjoy a Eulerian structure, and are applied to the search for new conditions equivalent to the Riemann hypothesis. These consist in the validity of certain parameter-dependent estimates for a class of Hermitian forms of finite rank. The Littlewood criterion, involving sums of Möbius coefficients, and the Weil so-called explicit formula, which leads to his positivity criterion, fit within this scheme, using in the first case Weyl's pseudodifferential calculus, in the second case Fuchs'. The book should be of interest to people looking for new possible approaches to the Riemann hypothesis, also to new perspectives on pseudodifferential analysis and on the way it combines with modular form theory. Analysts will have no difficulty with the arithmetic aspects, with which, save for very few exceptions, no previous acquaintance is necessary.
Book Synopsis Pseudodifferential Operators with Automorphic Symbols by : André Unterberger
Download or read book Pseudodifferential Operators with Automorphic Symbols written by André Unterberger and published by Birkhäuser. This book was released on 2015-06-22 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribution in the plane, which will be new to most readers and relates under the Radon transformation to the classical one of modular form of the non-holomorphic type. Modular forms of the holomorphic type are addressed too in a more concise way, within a general scheme dealing with quantization theory and elementary, but novel, representation-theoretic concepts.
Book Synopsis Metric Foliations and Curvature by : Detlef Gromoll
Download or read book Metric Foliations and Curvature written by Detlef Gromoll and published by Springer Science & Business Media. This book was released on 2009-03-28 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Riemannian manifolds, particularly those with positive or nonnegative curvature, are constructed from only a handful by means of metric fibrations or deformations thereof. This text documents some of these constructions, many of which have only appeared in journal form. The emphasis is less on the fibration itself and more on how to use it to either construct or understand a metric with curvature of fixed sign on a given space.
Book Synopsis American Book Publishing Record by :
Download or read book American Book Publishing Record written by and published by . This book was released on 2006 with total page 1206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nature written by and published by . This book was released on 1923 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis From Here to Enlightenment by : H.H. the Fourteenth Dalai Lama
Download or read book From Here to Enlightenment written by H.H. the Fourteenth Dalai Lama and published by Shambhala Publications. This book was released on 2020-12-22 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most extensive teaching given by the Dalai Lama in the West on a seminal Tibetan Buddhist text—now included in the Core Teachings of the Dalai Lama series When the Dalai Lama was forced to go into exile in 1959, he could take only a few items with him. Among these cherished belongings was his copy of Tsong-kha-pa’s classic text The Great Treatise on the Stages of the Path to Enlightenment. This text distills all the essential points of Tibetan Buddhism, clearly unfolding the entire Buddhist path. In 2008, celebrating the long-awaited completion of the English translation of The Great Treatise, the Dalai Lama gave a historic six-day teaching at Lehigh University to explain the meaning of the text and to underscore its importance. It is the longest teaching he has ever given to Westerners on just one text, and the most comprehensive. From Here to Enlightenment makes the teachings from this momentous event available for a wider audience.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 1208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Westminster Dictionary of Christian Theology by : Alan Richardson
Download or read book The Westminster Dictionary of Christian Theology written by Alan Richardson and published by Westminster John Knox Press. This book was released on 1983-01-01 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Westminter Dictionary of Christian Theology is an important reference for any pastor, scholar, or student of theology. The articles are clearly written, historically informative, and conceptually clarifying. The entries are arranged alphabetically for ease of use.
Book Synopsis Being and Film by : Christine Reeh-Peters
Download or read book Being and Film written by Christine Reeh-Peters and published by Cambridge Scholars Publishing. This book was released on 2021-03-16 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the so-called “solaristic ontology” of film by building a philosophical system based on an inquiry into the nature of film, being and reality. This “solaristic system” appropriates the aesthetic ideas and principles of thought present in the 1972 sci-fi movie Solaris by Andrei Tarkovsky. This movie is the main center of analysis here since it is highly symptomatic of the medium’s philosophical self-reflexivity and its intriguing correlation with reality and being. The “solaristic science” is a fictional science introduced in the movie’s diegesis and dedicated to the investigation of the planet Solaris, an unattainable challenge. In this sense, the solaristic system closes the film’s narrative by telling a philosophical story on the planet Solaris. The book thus details a philosophical form of concept art, and, at the same time, builds on previous results of film philosophy, as well as the speculative turn in contemporary philosophy.
Book Synopsis From Here to Enlightenment by : The Dalai Lama
Download or read book From Here to Enlightenment written by The Dalai Lama and published by Shambhala Publications. This book was released on 2020-12-22 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most extensive teaching given by the Dalai Lama in the West on a seminal Tibetan Buddhist text—now included in the Core Teachings of the Dalai Lama series When the Dalai Lama was forced to go into exile in 1959, he could take only a few items with him. Among these cherished belongings was his copy of Tsong-kha-pa’s classic text The Great Treatise on the Stages of the Path to Enlightenment. This text distills all the essential points of Tibetan Buddhism, clearly unfolding the entire Buddhist path. In 2008, celebrating the long-awaited completion of the English translation of The Great Treatise, the Dalai Lama gave a historic six-day teaching at Lehigh University to explain the meaning of the text and to underscore its importance. It is the longest teaching he has ever given to Westerners on just one text, and the most comprehensive. From Here to Enlightenment makes the teachings from this momentous event available for a wider audience.
Book Synopsis Theory and Practice of Yoga by : Knut A. Jacobsen
Download or read book Theory and Practice of Yoga written by Knut A. Jacobsen and published by BRILL. This book was released on 2018-08-14 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original essays provides fascinating insights into yoga as a historical and pluralistic phenomenon flourishing in a variety of religious and philosophical contexts. They cover a wide variety of traditions and topics related to Yoga: Classical Yoga, Sāṃkhya, Tantric Yoga, Bhakti Yoga, the Guru, Indic Islamic traditions of Yoga, Yoga and asceticism in contemporary India, and the reception of Yoga in the West. The essays are written by eighteen professors in the field of the history of religions, most of them former graduate students of Gerald James Larson, Larson is Rabindranath Tagore Professor Emeritus, Indiana University, Bloomington, Professor Emeritus, Religious Studies, University of California, Santa Barbara, an internationally acclaimed scholar on the history of religions and philosophies of India, and one of the world's foremost authorities on the Samkhya and Yoga traditions. The publication is in honour of him.
Book Synopsis The Great Treatise on the Stages of the Path to Enlightenment (Volume 3) by : Tsong-kha-pa
Download or read book The Great Treatise on the Stages of the Path to Enlightenment (Volume 3) written by Tsong-kha-pa and published by Shambhala Publications. This book was released on 2014-12-09 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third volume of the 15th-century spiritual classic that condenses Buddhist teachings into one easy-to-follow meditation manual The Great Treatise on the Stages of the Path to Enlightenment (Tib. Lam rim chen mo) is one of the brightest jewels in the world’s treasury of sacred literature. The author, Tsong-kha-pa, completed it in 1402, and it soon became one of the most renowned works of spiritual practice and philosophy in the world of Tibetan Buddhism. Because it condenses all the exoteric sūtra scriptures into a meditation manual that is easy to understand, scholars and practitioners rely on its authoritative presentation as a gateway that leads to a full understanding of the Buddha’s teachings. Tsong-kha-pa took great pains to base his insights on classical Indian Buddhist literature, illustrating his points with classical citations as well as with sayings of the masters of the earlier Kadampa tradition. In this way the text demonstrates clearly how Tibetan Buddhism carefully preserved and developed the Indian Buddhist traditions. This first of three volumes covers all the practices that are prerequisite for developing the spirit of enlightenment (bodhicitta).
