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A spectral theory of noncommuting operators / Rongwei Yang
| A spectral theory of noncommuting operators / Rongwei Yang |
| Autore | Yang, Rongwei |
| Pubbl/distr/stampa | Cham, : Springer, 2024 |
| Descrizione fisica | 1 testo elettronico (xii, 272 p. : ill.) |
| Soggetto topico |
14F40 - de Rham cohomology and algebraic geometry [MSC 2020]
20C07 - Group rings of infinite groups and their modules (group-theoretic aspects) [MSC 2020] 32A10 - Holomorphic functions of several complex variables [MSC 2020] 37F10 - Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets [MSC 2020] 46L05 - General theory of C*-algebras [MSC 2020] 47A10 - Spectrum, resolvent [MSC 2020] |
| Soggetto non controllato |
Characteristic Polynomial
Group Representations Matrices Projective Spectrum Spectral theory |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00310740 |
Yang, Rongwei
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| Cham, : Springer, 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Analytic and Algebraic Dependence of Meromorphic Functions / Aldo Andreotti, Wilhelm Stoll
| Analytic and Algebraic Dependence of Meromorphic Functions / Aldo Andreotti, Wilhelm Stoll |
| Autore | Andreotti, Aldo <1924-1980> |
| Pubbl/distr/stampa | Berlin, : Springer, 1971 |
| Descrizione fisica | vi, 394 p. ; 24 cm |
| Altri autori (Persone) | Stoll, Wilhelm |
| Soggetto topico |
11R58 - Arithmetic theory of algebraic function fields [MSC 2020]
32A10 - Holomorphic functions of several complex variables [MSC 2020] 32C15 - Complex spaces [MSC 2020] 32H04 - Meromorphic mappings in several complex variables [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] 11J85 - Algebraic independence; Gelʹfond's method [MSC 2020] 32H35 - Proper holomorphic mappings, finiteness theorems [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic Dependence of Meromorphic Functions Finite Functions Meromorphic functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0255230 |
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Andreotti, Aldo <1924-1980>
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| Berlin, : Springer, 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Analytic and Algebraic Dependence of Meromorphic Functions / Aldo Andreotti, Wilhelm Stoll
| Analytic and Algebraic Dependence of Meromorphic Functions / Aldo Andreotti, Wilhelm Stoll |
| Autore | Andreotti, Aldo <1924-1980> |
| Pubbl/distr/stampa | Berlin, : Springer, 1971 |
| Descrizione fisica | vi, 394 p. ; 24 cm |
| Altri autori (Persone) | Stoll, Wilhelm |
| Soggetto topico |
11J85 - Algebraic independence; Gelʹfond's method [MSC 2020]
11R58 - Arithmetic theory of algebraic function fields [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] 32A10 - Holomorphic functions of several complex variables [MSC 2020] 32C15 - Complex spaces [MSC 2020] 32H04 - Meromorphic mappings in several complex variables [MSC 2020] 32H35 - Proper holomorphic mappings, finiteness theorems [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic Dependence of Meromorphic Functions Finite Functions Meromorphic Functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00255230 |
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Andreotti, Aldo <1924-1980>
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| Berlin, : Springer, 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Bicomplex holomorphic functions : the algebra, geometry and analysis of bicomplex numbers / M. Elena Luna-Elizarrarás ... [et al.]
| Bicomplex holomorphic functions : the algebra, geometry and analysis of bicomplex numbers / M. Elena Luna-Elizarrarás ... [et al.] |
| Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
| Descrizione fisica | VIII, 231 p. : ill. ; 24 cm |
| Soggetto topico |
30G35 - Functions of hypercomplex variables and generalized variables [MSC 2020]
32A10 - Holomorphic functions of several complex variables [MSC 2020] 32A30 - Other generalizations of function theory of one complex variable [MSC 2020] |
| Soggetto non controllato |
Bicomplex elementary functions
Bicomplex holomorphy Bicomplex numbers Complex holomorphic functions of 2 complex variables Geometry in 4‐dimensional space Hyperbolic numbers Hyperbolic-valued norm |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113867 |
| [Cham], : Birkhäuser, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Bicomplex holomorphic functions : the algebra, geometry and analysis of bicomplex numbers / M. Elena Luna-Elizarrarás ... [et al.]
| Bicomplex holomorphic functions : the algebra, geometry and analysis of bicomplex numbers / M. Elena Luna-Elizarrarás ... [et al.] |
| Pubbl/distr/stampa | [Cham], : Birkhäuser, : Springer, 2015 |
| Descrizione fisica | VIII, 231 p. : ill. ; 24 cm |
| Soggetto topico |
30G35 - Functions of hypercomplex variables and generalized variables [MSC 2020]
32A10 - Holomorphic functions of several complex variables [MSC 2020] 32A30 - Other generalizations of function theory of one complex variable [MSC 2020] |
| Soggetto non controllato |
Bicomplex Elementary Functions
Bicomplex Holomorphy Bicomplex Numbers Complex Holomorphic Functions of 2 Complex Variables Geometry in 4‐dimensional space Hyperbolic numbers Hyperbolic-valued norm |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers. Accordingly, the main focus is on expressing the similarities with, and differences from, the classical theory of one complex variable. The result is an elementary yet comprehensive introduction to the algebra, geometry and analysis of bicomplex numbers. Around the middle of the nineteenth century, several mathematicians (the best known being Sir William Hamilton and Arthur Cayley) became interested in studying number systems that extended the field of complex numbers. Hamilton famously introduced the quaternions, a skew field in real-dimension four, while almost simultaneously James Cockle introduced a commutative four-dimensional real algebra, which was rediscovered in 1892 by Corrado Segre, who referred to his elements as bicomplex numbers. The advantages of commutativity were accompanied by the introduction of zero divisors, something thatfor a while dampened interest in this subject. In recent years, due largely to the work of G.B. Price, there has been a resurgence of interest in the study of these numbers and, more importantly, in the study of functions defined on the ring of bicomplex numbers, which mimic the behavior of holomorphic functions of a complex variable. While the algebra of bicomplex numbers is a four-dimensional real algebra, it is useful to think of it as a “complexification” of the field of complex numbers; from this perspective, the bicomplex algebra possesses the properties of a one-dimensional theory inside four real dimensions. Its rich analysis and innovative geometry provide new ideas and potential applications in relativity and quantum mechanics alike. The book will appeal to researchers in the fields of complex, hypercomplex and functional analysis, as well as undergraduate and graduate students with an interest in one-or multidimensional complex analysis. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00113867 |
| [Cham], : Birkhäuser, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Bicomplex holomorphic functions : the algebra, geometry and analysis of bicomplex numbers / M. Elena Luna-Elizarrarás ... [et al.]
| Bicomplex holomorphic functions : the algebra, geometry and analysis of bicomplex numbers / M. Elena Luna-Elizarrarás ... [et al.] |
| Edizione | [[Cham] : Birkhäuser : Springer, 2015] |
| Pubbl/distr/stampa | VIII, 231 p., : ill. ; 24 cm |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Soggetto topico |
30G35 - Functions of hypercomplex variables and generalized variables [MSC 2020]
32A10 - Holomorphic functions of several complex variables [MSC 2020] 32A30 - Other generalizations of function theory of one complex variable [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0113867 |
| VIII, 231 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Carleman’s Formulas in Complex Analysis : Theory and Applications / by Lev Aizenberg
| Carleman’s Formulas in Complex Analysis : Theory and Applications / by Lev Aizenberg |
| Autore | Aizenberg, Lev A. |
| Pubbl/distr/stampa | Dordrecht, : Springer, : Kluwer, 1993 |
| Descrizione fisica | xx, 299 p. ; 24 cm |
| Soggetto topico |
30E20 - Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane [MSC 2020]
32-XX - Several complex variables and analytic spaces [MSC 2020] 32A10 - Holomorphic functions of several complex variables [MSC 2020] 32A25 - Integral representations; canonical kernels (Szegó, Bergman, etc.) [MSC 2020] 32A30 - Other generalizations of function theory of one complex variable [MSC 2020] 32D15 - Continuation of analytic objects in several complex variables [MSC 2020] |
| Soggetto non controllato |
Complex Analysis
Mathematics Signal Processing Symbols |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00291019 |
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Aizenberg, Lev A.
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| Dordrecht, : Springer, : Kluwer, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Classical fine potential theory / Mohamed El Kadiri, Bent Fuglede
| Classical fine potential theory / Mohamed El Kadiri, Bent Fuglede |
| Autore | El Kadiri, Mohamed |
| Pubbl/distr/stampa | Singapore, : Springer, 2025 |
| Descrizione fisica | 1 testo elettronico (xviii, 420 p. : ill.) |
| Altri autori (Persone) | Fuglede, Bent |
| Soggetto topico |
31B05 - Harmonic, subharmonic, superharmonic functions in higher dimensions [MSC 2020]
31B10 - Integral representations, integral operators, integral equations methods in higher dimensions [MSC 2020] 31B15 - Potentials and capacities, extremal length and related notions in higher dimensions [MSC 2020] 31B25 - Boundary behavior of harmonic functions in higher dimensions [MSC 2020] 31C40 - Fine potential theory; fine properties of sets and functions [MSC 2020] 32A10 - Holomorphic functions of several complex variables [MSC 2020] |
| Soggetto non controllato |
Capacity
Dirichlet Problems Fine Topology Fine potential theory Finely harmonic functions Finely holomorphic functions Finely superharmonic functions Harmonic Functions Plurifine topology Plurifinely holomorphic functions Plurifinely plurisubharmonic functions Superharmonic functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00309761 |
| El Kadiri, Mohamed | ||
| Singapore, : Springer, 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Function theory in the unit ball of C/n / Walter Rudin
| Function theory in the unit ball of C/n / Walter Rudin |
| Autore | Rudin, Walter |
| Pubbl/distr/stampa | New York, : Springer, 1980 |
| Descrizione fisica | xiii, 438 p. : ill. ; 24 cm |
| Soggetto topico |
32-XX - Several complex variables and analytic spaces [MSC 2020]
32A10 - Holomorphic functions of several complex variables [MSC 2020] 32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020] 32A25 - Integral representations; canonical kernels (Szegó, Bergman, etc.) [MSC 2020] 32A35 - $H^p$-spaces, Nevanlinna spaces of functions in several complex variables [MSC 2020] 32A38 - Algebras of holomorphic functions of several complex variables [MSC 2020] 32A40 - Boundary behavior of holomorphic functions of several complex variables [MSC 2020] 32E35 - Global boundary behavior of holomorphic functions of several complex variables [MSC 2020] 32Hxx - Holomorphic mappings and correspondences [MSC 2020] 32M05 - Complex Lie groups, group actions on complex spaces [MSC 2020] 32U05 - Plurisubharmonic functions and generalizations [MSC 2020] 32W05 - $\overline\partial$ and $\overline\partial$-Neumann operators [MSC 2020] |
| Soggetto non controllato |
Complex Analysis
Convergence Differential Equations Function Function Theory Holomorphic Functions Integrals Interpolations Maximum Minimum Operators Smooth functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Around 1970, an abrupt change occurred in the study of holomorphic functions of several complex variables. Sheaves vanished into the back ground, and attention was focused on integral formulas and on the "hard analysis" problems that could be attacked with them: boundary behavior, complex-tangential phenomena, solutions of the J-problem with control over growth and smoothness, quantitative theorems about zero-varieties, and so on. The present book describes some of these developments in the simple setting of the unit ball of en. There are several reasons for choosing the ball for our principal stage. The ball is the prototype of two important classes of regions that have been studied in depth, namely the strictly pseudoconvex domains and the bounded symmetric ones. The presence of the second structure (i.e., the existence of a transitive group of automorphisms) makes it possible to develop the basic machinery with a minimum of fuss and bother. The principal ideas can be presented quite concretely and explicitly in the ball, and one can quickly arrive at specific theorems of obvious interest. Once one has seen these in this simple context, it should be much easier to learn the more complicated machinery (developed largely by Henkin and his co-workers) that extends them to arbitrary strictly pseudoconvex domains. In some parts of the book (for instance, in Chapters 14-16) it would, however, have been unnatural to confine our attention exclusively to the ball, and no significant simplifications would have resulted from such a restriction. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00268339 |
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Rudin, Walter
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| New York, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Function theory in the unit ball of C\n / Walter Rudin
| Function theory in the unit ball of C\n / Walter Rudin |
| Autore | Rudin, Walter <1921-2010> |
| Pubbl/distr/stampa | New York, : Springer, 1980 |
| Descrizione fisica | XIII, 436 p. ; 25 cm. |
| Soggetto topico |
32M05 - Complex Lie groups, group actions on complex spaces [MSC 2020]
32A40 - Boundary behavior of holomorphic functions of several complex variables [MSC 2020] 32A10 - Holomorphic functions of several complex variables [MSC 2020] 32A25 - Integral representations; canonical kernels (Szegó, Bergman, etc.) [MSC 2020] 32W05 - $\overline\partial$ and $\overline\partial$-Neumann operators [MSC 2020] 32A38 - Algebras of holomorphic functions of several complex variables [MSC 2020] 32A22 - Nevanlinna theory; growth estimates; other inequalities of several complex variables [MSC 2020] 32E35 - Global boundary behavior of holomorphic functions of several complex variables [MSC 2020] 32U05 - Plurisubharmonic functions and generalizations [MSC 2020] 32A35 - $H^p$-spaces, Nevanlinna spaces of functions in several complex variables [MSC 2020] 32-XX - Several complex variables and analytic spaces [MSC 2020] 32Hxx - Holomorphic mappings and correspondences [MSC 2020] |
| ISBN | 978-03-87905-14-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0051967 |
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Rudin, Walter <1921-2010>
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| New York, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Soggetto topico
-
32A10 - Holomorphic functions of several complex variables [MSC 2020]
(31)
- 32-XX - Several complex variables and analytic spaces [MSC 2020] (16)
- 32A25 - Integral representations; canonical kernels (Szegó, Bergman, etc.) [MSC 2020] (11)
- 32Hxx - Holomorphic mappings and correspondences [MSC 2020] (10)
- 32W05 - $\overline\partial$ and $\overline\partial$-Neumann operators [MSC 2020] (10)