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Author : Masaki Kashiwara
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (44 download)
Download or read book Microlocal Study of Sheaves written by Masaki Kashiwara and published by . This book was released on 1985 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pierre Schapira
Publisher :
ISBN 13 :
Total Pages : 55 pages
Book Rating : 4.:/5 (674 download)
Download or read book Microlocal Study of Constructible Sheaves written by Pierre Schapira and published by . This book was released on 1989 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masaki Kashiwara
Publisher : Springer Science & Business Media
ISBN 13 : 3662026619
Total Pages : 522 pages
Book Rating : 4.6/5 (62 download)
Download or read book Sheaves on Manifolds written by Masaki Kashiwara and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. This volume offers a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view. From the reviews: "Clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics." –Bulletin of the L.M.S.
Author : Mark Goresky
Publisher : Springer Science & Business Media
ISBN 13 : 3642717144
Total Pages : 279 pages
Book Rating : 4.6/5 (427 download)
Download or read book Stratified Morse Theory written by Mark Goresky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the lack of proper bibliographical sources stratification theory seems to be a "mysterious" subject in contemporary mathematics. This book contains a complete and elementary survey - including an extended bibliography - on stratification theory, including its historical development. Some further important topics in the book are: Morse theory, singularities, transversality theory, complex analytic varieties, Lefschetz theorems, connectivity theorems, intersection homology, complements of affine subspaces and combinatorics. The book is designed for all interested students or professionals in this area.
Author : H.G. Garnir
Publisher : Springer Science & Business Media
ISBN 13 : 9400946066
Total Pages : 400 pages
Book Rating : 4.4/5 (9 download)
Download or read book Advances in Microlocal Analysis written by H.G. Garnir and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1985 Castel vecchio-Pas coli NATO Advanced Study Institute is aimed to complete the trilogy with the two former institutes I organized : "Boundary Value Problem for Evolution Partial Differential Operators", Liege, 1976 and "Singularities in Boundary Value Problems", Maratea, 1980. It was indeed necessary to record the considerable progress realized in the field of the propagation of singularities of Schwartz Distri butions which led recently to the birth of a new branch of Mathema tical Analysis called Microlocal Analysis. Most of this theory was mainly built to be applied to distribution solutions of linear partial differential problems. A large part of this institute still went in this direction. But, on the other hand, it was also time to explore the new trend to use microlocal analysis In non linear differential problems. I hope that the Castelvecchio NATO ASI reached its purposes with the help of the more famous authorities in the field. The meeting was held in Tuscany (Italy) at Castelvecchio-Pascoli, little village in the mountains north of Lucca on September 2-12, 1985. It was hosted by "11 Ciocco" an international vacation Center, In a comfortable hotel located in magnificent mountain surroundings and provided with all conference and sport facilities.
Author : Goro Kato
Publisher : CRC Press
ISBN 13 : 1000105180
Total Pages : 317 pages
Book Rating : 4.0/5 (1 download)
Download or read book Fundamentals of Algebraic Microlocal Analysis written by Goro Kato and published by CRC Press. This book was released on 2020-08-11 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."
Author : Masaki Kashiwara
Publisher : Walter de Gruyter
ISBN 13 : 3110856034
Total Pages : 213 pages
Book Rating : 4.1/5 (18 download)
Download or read book D-Modules and Microlocal Geometry written by Masaki Kashiwara and published by Walter de Gruyter. This book was released on 2011-06-15 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author : Michael Hitrik
Publisher : Springer
ISBN 13 : 3030015882
Total Pages : 654 pages
Book Rating : 4.0/5 (3 download)
Download or read book Algebraic and Analytic Microlocal Analysis written by Michael Hitrik and published by Springer. This book was released on 2018-12-19 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of Kӓhler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.
Author : P. Schapira
Publisher : Springer Science & Business Media
ISBN 13 : 3642616658
Total Pages : 225 pages
Book Rating : 4.6/5 (426 download)
Download or read book Microdifferential Systems in the Complex Domain written by P. Schapira and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The words "microdifferential systems in the complex domain" refer to seve ral branches of mathematics: micro local analysis, linear partial differential equations, algebra, and complex analysis. The microlocal point of view first appeared in the study of propagation of singularities of differential equations, and is spreading now to other fields of mathematics such as algebraic geometry or algebraic topology. How ever it seems that many analysts neglect very elementary tools of algebra, which forces them to confine themselves to the study of a single equation or particular square matrices, or to carryon heavy and non-intrinsic formula tions when studying more general systems. On the other hand, many alge braists ignore everything about partial differential equations, such as for example the "Cauchy problem", although it is a very natural and geometri cal setting of "inverse image". Our aim will be to present to the analyst the algebraic methods which naturally appear in such problems, and to make available to the algebraist some topics from the theory of partial differential equations stressing its geometrical aspects. Keeping this goal in mind, one can only remain at an elementary level.
Author : Jörg Schürmann
Publisher : Birkhäuser
ISBN 13 : 3034880618
Total Pages : 461 pages
Book Rating : 4.0/5 (348 download)
Download or read book Topology of Singular Spaces and Constructible Sheaves written by Jörg Schürmann and published by Birkhäuser. This book was released on 2012-12-06 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with introductory articles covering a broad area in probability and its applications, such as mathematical physics and mathematics of finance. Written at graduate level, the lectures touch the latest advances on each subject, ranging from classical probability theory to modern developments. Thus the book will appeal to students, teachers and researchers working in probability theory or related fields.
Author : K. Okamoto
Publisher : Academic Press
ISBN 13 : 1483257576
Total Pages : 673 pages
Book Rating : 4.4/5 (832 download)
Download or read book Representations of Lie Groups, Kyoto, Hiroshima, 1986 written by K. Okamoto and published by Academic Press. This book was released on 2014-07-22 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: Representations of Lie Groups, Kyoto, Hiroshima, 1986 contains the proceedings of a symposium on "Analysis on Homogeneous Spaces and Representations of Lie Groups" held on September 1-6, 1986 in Japan. The symposium provided a forum for discussing Lie groups and covered topics ranging from geometric constructions of representations to the irreducibility of discrete series representations for semisimple symmetric spaces. A classification theory of prehomogeneous vector spaces is also described. Comprised of 22 chapters, this volume first considers the characteristic varieties of certain modules over the enveloping algebra of a semisimple Lie algebra, such as highest weight modules and primitive quotients. The reader is then introduced to multiplicity one theorems for generalized Gelfand-Graev representations of semisimple Lie groups and Whittaker models for the discrete series. Subsequent chapters focus on Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals; the generalized Geroch conjecture; algebraic structures on virtual characters of a semisimple Lie group; and fundamental groups of semisimple symmetric spaces. The book concludes with an analysis of the boundedness of certain unitarizable Harish-Chandra modules. This monograph will appeal to students, specialists, and researchers in the field of pure mathematics.
Author : Spencer Bloch
Publisher : Springer
ISBN 13 : 3540383883
Total Pages : 313 pages
Book Rating : 4.5/5 (43 download)
Download or read book Algebraic Geometry written by Spencer Bloch and published by Springer. This book was released on 2006-11-14 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Massey
Publisher : Springer
ISBN 13 : 3540455213
Total Pages : 141 pages
Book Rating : 4.5/5 (44 download)
Download or read book Le Cycles and Hypersurface Singularities written by David Massey and published by Springer. This book was released on 2006-11-14 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface. The Lê cycles and their multiplicities - the Lê numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. The Lê numbers control many topological and geometric properties of such non-isolated hypersurface singularities. This book is intended for graduate students and researchers interested in complex analytic singularities.
Author : John J. Benedetto
Publisher : CRC Press
ISBN 13 : 1000658430
Total Pages : 620 pages
Book Rating : 4.0/5 (6 download)
Download or read book Journal of Fourier Analysis and Applications Special Issue written by John J. Benedetto and published by CRC Press. This book was released on 2020-03-10 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Journal of Fourier Analysis and Applications is a journal of the mathematical sciences devoted to Fourier analysis and its applications. The subject of Fourier analysis has had a major impact on the development of mathematics, on the understanding of many engineering and scientific phenomena, and on the solution of some of the most important problems in mathematics and the sciences. At the end of June 1993, a large Conference in Harmonic Analysis was held at the University of Paris-Sud at Orsay to celebrate the prominent role played by Jean-Pierre Kahane and his numerous achievements in this field. The large variety of topics discussed in this meeting, ranging from classical Harmonic Analysis to Probability Theory, reflects the intense mathematical curiosity and the broad mathematical interest of Jean-Pierre Kahane. Indeed, all of them are connected to his work. The mornings were devoted to plenary addresses while up to four parallel sessions took place in the afternoons. Altogether, there were about eighty speakers. This wide range of subjects appears in these proceedings which include thirty six articles.
Author : Takahiro Kawai
Publisher : World Scientific
ISBN 13 : 9814532576
Total Pages : 526 pages
Book Rating : 4.8/5 (145 download)
Download or read book Structure of Solutions of Differential Equations written by Takahiro Kawai and published by World Scientific. This book was released on 1996 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony Joseph
Publisher : Springer Science & Business Media
ISBN 13 : 9780817643423
Total Pages : 526 pages
Book Rating : 4.6/5 (434 download)
Download or read book Studies in Lie Theory written by Anthony Joseph and published by Springer Science & Business Media. This book was released on 2006-01-26 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains new results on different aspects of Lie theory, including Lie superalgebras, quantum groups, crystal bases, representations of reductive groups in finite characteristic, and the geometric Langlands program
Author : Y. Matsumoto
Publisher : Academic Press
ISBN 13 : 1483259188
Total Pages : 615 pages
Book Rating : 4.4/5 (832 download)
Download or read book A Fête of Topology written by Y. Matsumoto and published by Academic Press. This book was released on 2014-05-10 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Fête of Topology: Papers Dedicated to Itiro Tamura focuses on the progress in the processes, methodologies, and approaches involved in topology, including foliations, cohomology, and surface bundles. The publication first takes a look at leaf closures in Riemannian foliations and differentiable singular cohomology for foliations. Discussions focus on differentiable singular chains restricted to leaves, differentiable singular cohomology for foliations, covering of pseudogroups and fundamental group, normal type of an orbit closure, and construction of a global model. The text then takes a look at measure of exceptional minimal sets of codimension one foliations, examples of exceptional minimal sets, foliations transverse to non-singular Morse-Smale flows, and Chern character for discrete groups. The manuscript ponders on characteristic classes of surface bundles and bounded cohomology, Hill's equation, isomonodromy deformation and characteristic classes, and topology of folds, cusps, and Morin singularities. Topics include system of Hill's equations, Lagrange-Grassman manifold, positive curves, Morse theory, bounded cohomology, and characteristic classes of surface bundles. The publication is a vital source of information for researchers interested in topology.
