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- 要約等"The Mordell conjecture (Faltings's theorem) i......t achievements in Diophantine geometry, stating that an algeb...... two has only finitely many rational points. This book p......es a self-contained and detailed......njecture following the papers of......Vojta. Also acting as a concise introduction to Diophantine geometry, the......nd techniques (including the theory of......) from Diophantine geometry, and culminates in the proof of t......hors' own teaching experience, i......duate students in algebraic geom......as researchers interested in Diophantine geometry as a whole"--
- 件名Mordell conjecture MATHEMATICS / Number Theory
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- 要約等"Assuming only basic kn......es a self-contained introduction to Malliavin calculus and infinite-dimensional......ownian motion. In an effort to d......, which allows infinite-dimensional......be treated as finite-dimensional......e result is an intuitive, indeed enjoyable,......of both Malliavin calculus and n......nalysis. The main aspects of sto......sis and Malliavin calculus are incorporated into this simplifying framework. Topics covered include Brownian motion, Ornstein-Uhlenbeck proc......th with values in abstract Wiene......ple stochastic integrals, chaos ......sition, Malliavin derivative, Cl......mula, Skorohod integral processes and Girsanov ...
- 内容細目...mula, Skorohod integral processe......, product-, chainrule, Girsanov ......s; References; Index.
- 件名Malliavin calculus. Lévy......ion processes. MATHEMATICS / Probability & Statistics / ...
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- 内容細目Jordan and lie theory Jordan structures in geometry Jordan structures in analysis.
- 関連情報Cambridge tracts in mathematics
- 掲載誌Cambridge tracts in mathematics
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- 要約等...arch monograph investigates how 'finite-dimensional......an be embedded into finite-dimensional......e first part brings together a n......abstract embedding results, and ......ent of four definitions of dimen......ion that arise in disparate fiel...... Lebesgue covering dimension (fr......upper box-counting dimension (fr......abstract embedding results are applied in the second par......e book to the finite-dimensional......ors that arise in certain infinite-dimensional...... systems, deducing practical con......me-delay embedding theorem valid in spatially exte......trisation by point values. This ......rchers with an interest in dimension theory, pa...
- 件名Dimension theory (Topology) Attractors (Mathematics) Topological imbeddings.
- タイトル標目Cambridge tracts in mathematics ; 186.
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- 要約等"This self-contained monograph pr......es the subject in detail and develops the principal methods presently used in various aspect......d preparation, including a large colle...... difficult to find in the existing literature. P...... tool for studying them. The boo......scientists working in dynamical syst......s and a useful introduction for ......duate students interested in entering the field. It......plementary reading for any introductory course in dynamical systems"-- "In a very general......r, sometimes, finite volume mani......actions preserving a geometric s......ucture with an infinite-dimensional group of autom...
- タイトル標目Cambridge tracts in mathematics ; 185-
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- 要約等... notions to define, so it may be......omewhat surprising the depth and......applied areas, including Statistical M......,and that many inequalities, including Hḻder's and Minkowski's inequalities, are...... convexity. An introductory chapter (1) includes a study ......unctions, some inequalities (Hḻder, Minkowski, and Jen......nt about extending tangents to c......tions, and the introduction of t......or roles later in this book: the Minkowski gauge of a convex set a...
- 内容細目...roof Extreme points and the Krein-Milman theorem The strong Krein-Milman theorem......ueness Complex interpolation The Brunn-Minkowski inequalities and ...... Rearrangement inequalities. Brascamp-Lieb-Luttinger inequalities ; Rearrangement inequalities Majorization. The r...
- 件名Convex domains. Mathematical analysis.
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- 要約等"Algebraic theories, introduced as a concept in the 1960s, hav......ed very useful in various areas of mathematics and computer s......s a systematic introduction to a......ill facilitate interactions of g......s, those commuting with finite products in sets. The auth...... the corresponding concrete alge...... are important in program semantics. The final chapter is devoted to finitary localizations of algebra...
- 内容細目Foreword / F.W. Lawvere Preliminaries. Abstract...... completion ; Finitary localizations of algebra...
- 件名Categories (Mathematics) Algebraic logic.
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- 要約等...olved problems in operator theor......fifty-year-old invariant subspac......every bounded linear operator on......trivial closed invariant subspac...... major results in the area, including many that were derived within the past few y......annot be found in other books. Beginning with a preliminary chapter containing the necessary......ul techniques, including the use of th......paces, fixed point theorems, minimal vectors, u...... of particular interest to those who study linear operators a......those who work in other areas of pure mathematics"--
- 内容細目...ctorization of integrable functi...... spectrum Beurling algebras Appl......s of a fixed-point theorem Minimal vectors Un......sequences and binomial sums Posi...... and strictly-singular operators.
- 件名Invariant subspaces. Hilbert spa...
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- 要約等...y of which was initiated by anal......y applications in diverse areas.......lso described: in particular, th......berg, M. G. Krein, F. R. Gantmacher and S. Karlin. This monograp...... those with an interest in matrix theory,...... this rich and interesting subject"--Provided by publis...
- 関連情報Cover image Cambridge tracts in mathematics
- 掲載誌Cambridge tracts in mathematics
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- 要約等... of period domains is a pedagogical introduction acce......asic knowledge in algebraic geometry and algebr...
- 内容細目Pt. 1. Period domains for GLn over finite fields Pt. 2. Period domains for reductive groups over finite fields Pt. 3. Period domains over p-adic fields.
- 件名Geometry, Algebraic. Symmetric domains. Finite fields (Algebra) p-adic fi...
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- 件名Geometry, Differential. Manifolds (Mathematics)
- 一般注記Related URL: Cover image http: //assets.cambridge.org/97805211/16732/cover/9780...
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- 件名Linear operators.
- 関連情報Contributor biographical information Publisher description Cambridge tracts in mathematics
- 掲載誌Cambridge tracts in mathematics
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- 件名Sporadic groups (Mathematics) Involutes (Mathematics)
- タイトル標目Cambridge tracts in mathematics ; 176.
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- 関連情報Publisher description Cambridge tracts in mathematics
- 掲載誌Cambridge tracts in mathematics
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- 件名...uperalgebras. Linear algebraic g......ps. Algebras, Linear. Geometry, Projective.
- 関連情報Publisher description Contributor biographical information
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- 件名Measure-preserving transformations. Entropy (Information theory)
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- 件名Geometry, Differential. Isoperimetric inequalities. Riemannian manifol...
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- 件名Integrals, Generalized.
- 関連情報Publisher description Cambridge tracts in mathematics
- 掲載誌Cambridge tracts in mathematics
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- 件名Fixed point theory. Mappings (Mathematics)
- 関連情報Publisher description Table of Contents Cambridge tracts in mathematics
- 掲載誌Cambridge tracts in mathematics