Noncommutative Functional Calculus by Fabrizio Colombo Politecnico Di Milano
This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linear operators is developed. These calculi are based on a new theory of hyperholomorphicity for functions with values in a Clifford algebra: the so-called slice monogenic functions which are carefully described in the book. In the case of functions with values in the algebra of quaternions these functions are named slice regular functions.
Except for the appendix and the introduction all results are new and appear for the first time organized in a monograph. The material has been carefully prepared to be as self-contained as possible. The intended audience consists of researchers, graduate and postgraduate students interested in operator theory, spectral theory, hypercomplex analysis, and mathematical physics.
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Groupoids, Inverse Semigroups, and their Operator Algebras
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Extrinsic Geometry of Foliations
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Progress in Mathematics
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Groups, Radical Rings, and the Yang-Baxter Equation
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Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves
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De Rham Cohomology of Differential Modules on Algebraic Varieties
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Poisson Structures and Their Normal Forms
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Cubic Forms and the Circle Method
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Thermodynamic Formalism and Applications to Dimension Theory
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Hilbert Modular Forms with Coefficients in Intersection Homology and Quadratic Base Change
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Representation Theory, Mathematical Physics, and Integrable Systems
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Hypoelliptic Laplacian and BottChern Cohomology
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Yamabe-type Equations on Complete, Noncompact Manifolds
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Arithmetic and Geometry Around Galois Theory
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Evolution Equations of Hyperbolic and Schrodinger Type
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Vector Bundles on Complex Projective Spaces
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Residue Currents and Bezout Identities
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Tubes
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Seminaire de Theorie des Nombres, Paris 1987-88
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Lecture Notes on Mean Curvature Flow
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European Congress of Mathematics
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Momentum Maps and Hamiltonian Reduction
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Symplectic Geometry and Secondary Characteristic Classes
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Vanishing Theorems on Complex Manifolds
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Lie Groups: Structure, Actions, and Representations
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Ergodic Theory and Dynamical Systems I
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Andreotti-Grauert Theory by Integral Formulas
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Critical Point Theory for Lagrangian Systems
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Perspectives on Four Decades of Algebraic Geometry, Volume 2
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Complex Approximation
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The Radon Transform
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Quadratic Forms in Infinite Dimensional Vector Spaces
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Arithmetic on Modular Curves
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Complex Kleinian Groups
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Cardinal Invariants on Boolean Algebras
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Discrete Groups in Geometry and Analysis
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Lectures on Functor Homology
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New Horizons in pro-p Groups
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Introduction to Vertex Operator Algebras and Their Representations
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Topological Field Theory, Primitive Forms and Related Topics
| SKU | Unavailable |
| ISBN 13 | 9783034803243 |
| ISBN 10 | 3034803249 |
| Title | Noncommutative Functional Calculus |
| Author | Fabrizio Colombo Politecnico Di Milano |
| Series | Progress In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Basel |
| Year published | 2013-04-21 |
| Number of pages | 222 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |