Topics in Global Real Analytic Geometry by Francesca Acquistapace
We describe a class of semianalytic sets defined by countably many global real analytic functions that is stable under topological properties and under proper holomorphic maps between Stein spaces, that is, verifies a direct image theorem.-
The Higher Infinite
-
Fredholm Theory in Topological Vector Spaces
-
Combinatorial Set Theory of C*-Algebras
-
Classical Lie Algebras at Infinity
-
Representation Theory of Finite Group Extensions
-
Geometric Approximation Theory
-
Determinants, Grobner Bases and Cohomology
-
Mathematical Methods for Elastic Plates
-
Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians
-
The Weierstrass Sigma Function in Higher Genus and Applications to Integrable Equations
-
The Riordan Group and Applications
-
Domination in Graphs: Core Concepts
-
Real Algebraic Varieties
-
Curvature Measures of Singular Sets
-
Structure and Regularity of Group Actions on One-Manifolds
-
Superconcentration and Related Topics
-
Extremal Polynomials and Riemann Surfaces
-
Simplicial Partitions with Applications to the Finite Element Method
-
Modular Forms
-
Microstructured Materials: Inverse Problems
-
Projective and Cayley-Klein Geometries
-
Monotone Complete C*-algebras and Generic Dynamics
-
Logical Foundations of Mathematics and Computational Complexity
-
Arithmetic of Quadratic Forms
-
Hardy Spaces on the Euclidean Space
-
Functional Analytic Techniques for Diffusion Processes
-
Harnack's Inequality for Degenerate and Singular Parabolic Equations
-
Structure and Geometry of Lie Groups
-
Inverse Linear Problems on Hilbert Space and their Krylov Solvability
-
Modular Forms: Basics and Beyond
-
The Absolute Galois Group of a Semi-Local Field
-
Hardy Operators, Function Spaces and Embeddings
-
Random Fields and Geometry
-
Positive Polynomials
-
Classical Fine Potential Theory
“The book presents nice results in the overlapping of real analytic geometry, complex analytic geometry and real algebraic geometryIt is well written. The introduction describes the historical developments in a very motivating way. The existing literature is well addressed. The book is intended for researchers or PhD students with a background in complex analysis (in several variables) and commutative algebra. It is dedicated to the memory of Alberto Tognoli.” (Tobias Kaiser, Mathematical Reviews, June, 2023)
“This noteworthy book fulfills the goal of giving an excellently well written account of the present state of a number of relevant topics in the field of Real Analytic Geometry.” (José Javier Etayo, zbMATH 1495.14001, 2022)
“This noteworthy book fulfills the goal of giving an excellently well written account of the present state of a number of relevant topics in the field of Real Analytic Geometry.” (José Javier Etayo, zbMATH 1495.14001, 2022)
Francesca Acquistapace was associate professor at the Mathematics Department of Pisa University from 1982 until her retirement in 2017. Previously, from 1974, she was assistant professor at the same department, where she presently has a research contract. She has given Ph.D courses in several universities, including in Madrid, Nagoya, Sapporo and the Poincaré Institute, Paris. Her research is in real analytic geometry, mainly in collaboration with the Spanish team (Andradas, Ruiz, Fernando) and with M. Shiota at Nagoya University.
Fabrizio Broglia was full professor at the Mathematics Department of Pisa University from 2001 until his retirement in 2018. Previously he was assistant and associate professor at the same Department, where he presently has a research contract. He was director of the Ph.D school of Science from 2002 until 2016. He was responsible in Italy for two European networks in Real Algebraic and Analytic Geometry (RAAG). His research deals with real analytic geometry, in collaboration with many colleagues, in particular the Spanish team.
José F. Fernando has been Professor at the Universidad Complutense de Madrid since February 2021. He has actively worked in Real Algebraic and Analytic Geometry (RAAG) with groups in Spain (Baro, Gamboa, Ruiz, Ueno), Duisburg-Konstanz (Scheiderer), Pisa (Acquistapace–Broglia), Rennes (Fichou–Quarez), and Trento (Ghiloni). He has established a strong collaboration and friendship with the Pisa RAAG group since 2003.
Fabrizio Broglia was full professor at the Mathematics Department of Pisa University from 2001 until his retirement in 2018. Previously he was assistant and associate professor at the same Department, where he presently has a research contract. He was director of the Ph.D school of Science from 2002 until 2016. He was responsible in Italy for two European networks in Real Algebraic and Analytic Geometry (RAAG). His research deals with real analytic geometry, in collaboration with many colleagues, in particular the Spanish team.
José F. Fernando has been Professor at the Universidad Complutense de Madrid since February 2021. He has actively worked in Real Algebraic and Analytic Geometry (RAAG) with groups in Spain (Baro, Gamboa, Ruiz, Ueno), Duisburg-Konstanz (Scheiderer), Pisa (Acquistapace–Broglia), Rennes (Fichou–Quarez), and Trento (Ghiloni). He has established a strong collaboration and friendship with the Pisa RAAG group since 2003.
| SKU | Unavailable |
| ISBN 13 | 9783030966683 |
| ISBN 10 | 3030966682 |
| Title | Topics in Global Real Analytic Geometry |
| Author | Francesca Acquistapace |
| Series | Springer Monographs In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2023-06-09 |
| Number of pages | 273 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |