Spaces Domains And Meanings

Author : Zoltán Kövecses
Publisher : Cambridge University Press
ISBN 13 : 1108490875
Total Pages : 211 pages
Book Rating : 4.70/5 ( download)

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Download or read book Extended Conceptual Metaphor Theory written by Zoltán Kövecses and published by Cambridge University Press. This book was released on 2020-04-23 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an extended, improved version of Conceptual Metaphor Theory (CMT), updating it in the context of current linguistic theory.

Author : Per Aage Brandt
Publisher : Peter Lang Publishing
ISBN 13 : 9780820470061
Total Pages : 271 pages
Book Rating : 4.66/5 ( download)

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Download or read book Spaces, Domains, and Meanings written by Per Aage Brandt and published by Peter Lang Publishing. This book was released on 2004-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays in this book and develop a semiotic elaboration of the theory of mental spaces, a grounding hypothesis of semantic domains, and the methodologically necessary idea of a mental architecture corresponding to the neural organization of the brain.

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 1461215749
Total Pages : 311 pages
Book Rating : 4.45/5 ( download)

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Download or read book The Geometry of Domains in Space written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of Euclidean space is well-developed. The classical Lie groups that act naturally on Euclidean space-the rotations, dilations, and trans lations-have both shaped and guided this development. In particular, the Fourier transform and the theory of translation invariant operators (convolution transforms) have played a central role in this analysis. Much modern work in analysis takes place on a domain in space. In this context the tools, perforce, must be different. No longer can we expect there to be symmetries. Correspondingly, there is no longer any natural way to apply the Fourier transform. Pseudodifferential operators and Fourier integral operators can playa role in solving some of the problems, but other problems require new, more geometric, ideas. At a more basic level, the analysis of a smoothly bounded domain in space requires a great deal of preliminary spadework. Tubular neighbor hoods, the second fundamental form, the notion of "positive reach", and the implicit function theorem are just some of the tools that need to be invoked regularly to set up this analysis. The normal and tangent bundles become part of the language of classical analysis when that analysis is done on a domain. Many of the ideas in partial differential equations-such as Egorov's canonical transformation theorem-become rather natural when viewed in geometric language. Many of the questions that are natural to an analyst-such as extension theorems for various classes of functions-are most naturally formulated using ideas from geometry.

Author : Hans Triebel
Publisher : European Mathematical Society
ISBN 13 : 9783037190197
Total Pages : 276 pages
Book Rating : 4.91/5 ( download)

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Download or read book Function Spaces and Wavelets on Domains written by Hans Triebel and published by European Mathematical Society. This book was released on 2008 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets have emerged as an important tool in analyzing functions containing discontinuities and sharp spikes. They were developed independently in the fields of mathematics, quantum physics, electrical engineering, and seismic geology. Interchanges between these fields during the last ten years have led to many new wavelet applications such as image compression, turbulence, human vision, radar, earthquake prediction, and pure mathematics applications such as solving partial differential equations. This book develops a theory of wavelet bases and wavelet frames for function spaces on various types of domains. Starting with the usual spaces on Euclidean spaces and their periodic counterparts, the exposition moves on to so-called thick domains (including Lipschitz domains and snowflake domains). Specifically, wavelet expansions and extensions to corresponding spaces on Euclidean $n$-spaces are developed. Finally, spaces on smooth and cellular domains and related manifolds are treated. Although the presentation relies on the recent theory of function spaces, basic notation and classical results are repeated in order to make the text self-contained. This book is addressed to two types of readers: researchers in the theory of function spaces who are interested in wavelets as new effective building blocks for functions and scientists who wish to use wavelet bases in classical function spaces for various applications. Adapted to the second type of reader, the preface contains a guide on where to find basic definitions and key assertions.

Author : Gregor Fels
Publisher : Springer Science & Business Media
ISBN 13 : 0817644792
Total Pages : 342 pages
Book Rating : 4.96/5 ( download)

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Download or read book Cycle Spaces of Flag Domains written by Gregor Fels and published by Springer Science & Business Media. This book was released on 2006-07-30 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Driven by numerous examples from the complex geometric viewpoint New results presented for the first time Widely accessible, with all necessary background material provided for the nonspecialist Comparisons with classical Barlet cycle spaces are given Good bibliography and index

Author : Mikhail S. Agranovich
Publisher : Springer
ISBN 13 : 3319146483
Total Pages : 343 pages
Book Rating : 4.85/5 ( download)

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Download or read book Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains written by Mikhail S. Agranovich and published by Springer. This book was released on 2015-05-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in non-smooth (Lipschitz) domains for strongly elliptic systems. The author, who is a prominent expert in the theory of linear partial differential equations, spectral theory and pseudodifferential operators, has included his own very recent findings in the present book. The book is well suited as a modern graduate textbook, utilizing a thorough and clear format that strikes a good balance between the choice of material and the style of exposition. It can be used both as an introduction to recent advances in elliptic equations and boundary value problems and as a valuable survey and reference work. It also includes a good deal of new and extremely useful material not available in standard textbooks to date. Graduate and post-graduate students, as well as specialists working in the fields of partial differential equations, functional analysis, operator theory and mathematical physics will find this book particularly valuable.

Author : Cho-ho Chu
Publisher : World Scientific
ISBN 13 : 9811214123
Total Pages : 406 pages
Book Rating : 4.27/5 ( download)

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Download or read book Bounded Symmetric Domains In Banach Spaces written by Cho-ho Chu and published by World Scientific. This book was released on 2020-09-10 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.This monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.

Author : Gilles Fauconnier
Publisher : Cambridge University Press
ISBN 13 : 9780521449496
Total Pages : 250 pages
Book Rating : 4.99/5 ( download)

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Download or read book Mental Spaces written by Gilles Fauconnier and published by Cambridge University Press. This book was released on 1994-08-26 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mental Spaces is the classic introduction to the study of mental spaces and conceptual projection, as revealed through the structure and use of language. It examines in detail the dynamic construction of connected domains as discourse unfolds. The discovery of mental space organization has modified our conception of language and thought: powerful and uniform accounts of superficially disparate phenomena have become available in the areas of reference, presupposition projection, counterfactual and analogical reasoning, metaphor and metonymy, and time and aspect in discourse. The present work lays the foundation for this research. It uncovers simple and general principles that lie behind the awesome complexity of everyday logic.

Author : Simeon Reich
Publisher : World Scientific
ISBN 13 : 1783260211
Total Pages : 372 pages
Book Rating : 4.18/5 ( download)

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Download or read book Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces written by Simeon Reich and published by World Scientific. This book was released on 2005-07-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments./a

Author : Martin Dindoš
Publisher : American Mathematical Soc.
ISBN 13 : 0821840436
Total Pages : 92 pages
Book Rating : 4.36/5 ( download)

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Download or read book Hardy Spaces and Potential Theory on $C^1$ Domains in Riemannian Manifolds written by Martin Dindoš and published by American Mathematical Soc.. This book was released on 2008 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author studies Hardy spaces on C1 and Lipschitz domains in Riemannian manifolds. Hardy spaces, originally introduced in 1920 in complex analysis setting, are invaluable tool in harmonic analysis. For this reason these spaces have been studied extensively by many authors.