Complex polynomials / / T. Sheil-Small [[electronic resource]] |
Autore | Sheil-Small T (Terence), <1937-> |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
Descrizione fisica | 1 online resource (xix, 428 pages) : digital, PDF file(s) |
Disciplina | 512.9/42 |
Collana | Cambridge studies in advanced mathematics |
Soggetto topico |
Polynomials
Functions of complex variables |
ISBN |
1-107-12647-9
0-521-10276-6 1-280-41456-1 9786610414567 0-511-17973-1 1-139-14545-2 0-511-05906-X 0-511-30667-9 0-511-54307-7 0-511-06752-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. The algebra of polynomials -- 2. The degree principle and the fundamental theorem of algebra -- 3. The Jacobian problem -- 4. Analytic and harmonic functions in the unit disc -- 5. Circular regions and Grace's theorem -- 6. The Ilieff-Sendov conjecture -- 7. Self-inversive polynomials -- 8. Duality and an extension of Grace's theorem to rational functions -- 9. Real polynomials -- 10. Level curves -- 11. Miscellaneous topics. |
Record Nr. | UNINA-9910450389303321 |
Sheil-Small T (Terence), <1937-> | ||
Cambridge : , : Cambridge University Press, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex polynomials / / T. Sheil-Small [[electronic resource]] |
Autore | Sheil-Small T (Terence), <1937-> |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
Descrizione fisica | 1 online resource (xix, 428 pages) : digital, PDF file(s) |
Disciplina | 512.9/42 |
Collana | Cambridge studies in advanced mathematics |
Soggetto topico |
Polynomials
Functions of complex variables |
ISBN |
1-107-12647-9
0-521-10276-6 1-280-41456-1 9786610414567 0-511-17973-1 1-139-14545-2 0-511-05906-X 0-511-30667-9 0-511-54307-7 0-511-06752-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. The algebra of polynomials -- 2. The degree principle and the fundamental theorem of algebra -- 3. The Jacobian problem -- 4. Analytic and harmonic functions in the unit disc -- 5. Circular regions and Grace's theorem -- 6. The Ilieff-Sendov conjecture -- 7. Self-inversive polynomials -- 8. Duality and an extension of Grace's theorem to rational functions -- 9. Real polynomials -- 10. Level curves -- 11. Miscellaneous topics. |
Record Nr. | UNINA-9910783132603321 |
Sheil-Small T (Terence), <1937-> | ||
Cambridge : , : Cambridge University Press, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex polynomials / / T. Sheil-Small [[electronic resource]] |
Autore | Sheil-Small T (Terence), <1937-> |
Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
Descrizione fisica | 1 online resource (xix, 428 pages) : digital, PDF file(s) |
Disciplina | 512.9/42 |
Collana | Cambridge studies in advanced mathematics |
Soggetto topico |
Polynomials
Functions of complex variables |
ISBN |
1-107-12647-9
0-521-10276-6 1-280-41456-1 9786610414567 0-511-17973-1 1-139-14545-2 0-511-05906-X 0-511-30667-9 0-511-54307-7 0-511-06752-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. The algebra of polynomials -- 2. The degree principle and the fundamental theorem of algebra -- 3. The Jacobian problem -- 4. Analytic and harmonic functions in the unit disc -- 5. Circular regions and Grace's theorem -- 6. The Ilieff-Sendov conjecture -- 7. Self-inversive polynomials -- 8. Duality and an extension of Grace's theorem to rational functions -- 9. Real polynomials -- 10. Level curves -- 11. Miscellaneous topics. |
Record Nr. | UNINA-9910817701403321 |
Sheil-Small T (Terence), <1937-> | ||
Cambridge : , : Cambridge University Press, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex Potential Theory [[electronic resource] /] / edited by Paul M. Gauthier |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1994 |
Descrizione fisica | 1 online resource (XIX, 552 p.) |
Disciplina | 515.94 |
Collana | Nato Science Series C:, Mathematical and Physical Sciences |
Soggetto topico |
Functions of complex variables
Potential theory (Mathematics) Functional analysis Several Complex Variables and Analytic Spaces Potential Theory Functions of a Complex Variable Functional Analysis |
ISBN | 94-011-0934-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Analytic multifunctions and their applications -- Harmonic approximation on closed subsets of Riemannian manifolds -- Pick interpolation, Von Neumann inequalities, and hyperconvex sets -- Complex dynamics in higher dimensions -- Analytic functions on Banach spaces -- Uniform approximation -- Plurisubharmonic functions and their singularities -- Chebyshev-type quadratures: use of complex analysis and potential theory -- General aspects of potential theory with respect to problems of differential equations -- Removability, capacity and approximation -- Semigroups of holomorphic isometries. |
Record Nr. | UNINA-9910480198003321 |
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex Potential Theory [[electronic resource] /] / edited by Paul M. Gauthier |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1994 |
Descrizione fisica | 1 online resource (XIX, 552 p.) |
Disciplina | 515.94 |
Collana | Nato Science Series C:, Mathematical and Physical Sciences |
Soggetto topico |
Functions of complex variables
Potential theory (Mathematics) Functional analysis Several Complex Variables and Analytic Spaces Potential Theory Functions of a Complex Variable Functional Analysis |
ISBN | 94-011-0934-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Analytic multifunctions and their applications -- Harmonic approximation on closed subsets of Riemannian manifolds -- Pick interpolation, Von Neumann inequalities, and hyperconvex sets -- Complex dynamics in higher dimensions -- Analytic functions on Banach spaces -- Uniform approximation -- Plurisubharmonic functions and their singularities -- Chebyshev-type quadratures: use of complex analysis and potential theory -- General aspects of potential theory with respect to problems of differential equations -- Removability, capacity and approximation -- Semigroups of holomorphic isometries. |
Record Nr. | UNINA-9910789498103321 |
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex Potential Theory [[electronic resource] /] / edited by Paul M. Gauthier |
Edizione | [1st ed. 1994.] |
Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1994 |
Descrizione fisica | 1 online resource (XIX, 552 p.) |
Disciplina | 515.94 |
Collana | Nato Science Series C:, Mathematical and Physical Sciences |
Soggetto topico |
Functions of complex variables
Potential theory (Mathematics) Functional analysis Several Complex Variables and Analytic Spaces Potential Theory Functions of a Complex Variable Functional Analysis |
ISBN | 94-011-0934-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Analytic multifunctions and their applications -- Harmonic approximation on closed subsets of Riemannian manifolds -- Pick interpolation, Von Neumann inequalities, and hyperconvex sets -- Complex dynamics in higher dimensions -- Analytic functions on Banach spaces -- Uniform approximation -- Plurisubharmonic functions and their singularities -- Chebyshev-type quadratures: use of complex analysis and potential theory -- General aspects of potential theory with respect to problems of differential equations -- Removability, capacity and approximation -- Semigroups of holomorphic isometries. |
Record Nr. | UNINA-9910813699303321 |
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Complex proofs of real theorems / Peter D. Lax, Lawrence Zalcman |
Autore | Lax, Peter D. |
Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, c2012 |
Descrizione fisica | xi, 90 p. : ill. ; 25 cm |
Disciplina | 515.9 |
Altri autori (Persone) | Zalcman, Lawrence Allenauthor |
Collana | University lecture series, 1047-3998 ; 58 |
Soggetto topico |
Functions of complex variables
Approximation theory Functional analysis |
ISBN | 9780821875599 |
Classificazione |
AMS 30-XX
AMS 41-XX AMS 42-XX AMS 46-XX LC QA331.7.L39 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001837259707536 |
Lax, Peter D. | ||
Providence, R. I. : American Mathematical Society, c2012 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Complex valued nonlinear adaptive filters [[electronic resource] ] : noncircularity, widely linear, and neural models / / Danilo P. Mandic, Vanessa Su Lee Goh |
Autore | Mandic Danilo P |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley, c2009 |
Descrizione fisica | 1 online resource (345 p.) |
Disciplina | 621.382/2 |
Altri autori (Persone) | GohVanessa Su Lee |
Collana | Adaptive and Learning Systems for Signal Processing, Communications and Control Series |
Soggetto topico |
Functions of complex variables
Adaptive filters - Mathematical models Filters (Mathematics) Nonlinear theories Neural networks (Computer science) |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-12337-8
9786612123375 0-470-74262-3 0-470-74263-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models; Series Page; Contents; Preface; Acknowledgements; 1 The Magic of Complex Numbers; 1.1 History of Complex Numbers; 1.1.1 Hypercomplex Numbers; 1.2 History of Mathematical Notation; 1.3 Development of Complex Valued Adaptive Signal Processing; 2 Why Signal Processing in the Complex Domain?; 2.1 Some Examples of Complex Valued Signal Processing; 2.1.1 Duality Between Signal Representations in R and C; 2.2 Modelling in C is Not Only Convenient But Also Natural
2.3 Why Complex Modelling of Real Valued Processes?2.3.1 Phase Information in Imaging; 2.3.2 Modelling of Directional Processes; 2.4 Exploiting the Phase Information; 2.4.1 Synchronisation of Real Valued Processes; 2.4.2 Adaptive Filtering by Incorporating Phase Information; 2.5 Other Applications of Complex Domain Processing of Real Valued Signals; 2.6 Additional Benefits of Complex Domain Processing; 3 Adaptive Filtering Architectures; 3.1 Linear and Nonlinear Stochastic Models; 3.2 Linear and Nonlinear Adaptive Filtering Architectures; 3.2.1 Feedforward Neural Networks 3.2.2 Recurrent Neural Networks3.2.3 Neural Networks and Polynomial Filters; 3.3 State Space Representation and Canonical Forms; 4 Complex Nonlinear Activation Functions; 4.1 Properties of Complex Functions; 4.1.1 Singularities of Complex Functions; 4.2 Universal Function Approximation; 4.2.1 Universal Approximation in R; 4.3 Nonlinear Activation Functions for Complex Neural Networks; 4.3.1 Split-complex Approach; 4.3.2 Fully Complex Nonlinear Activation Functions; 4.4 Generalised Splitting Activation Functions (GSAF); 4.4.1 The Clifford Neuron 4.5 Summary: Choice of the Complex Activation Function5 Elements of CR Calculus; 5.1 Continuous Complex Functions; 5.2 The Cauchy-Riemann Equations; 5.3 Generalised Derivatives of Functions of Complex Variable; 5.3.1 CR Calculus; 5.3.2 Link between R- and C-derivatives; 5.4 CR-derivatives of Cost Functions; 5.4.1 The Complex Gradient; 5.4.2 The Complex Hessian; 5.4.3 The Complex Jacobian and Complex Differential; 5.4.4 Gradient of a Cost Function; 6 Complex Valued Adaptive Filters; 6.1 Adaptive Filtering Configurations; 6.2 The Complex Least Mean Square Algorithm 6.2.1 Convergence of the CLMS Algorithm6.3 Nonlinear Feedforward Complex Adaptive Filters; 6.3.1 Fully Complex Nonlinear Adaptive Filters; 6.3.2 Derivation of CNGD using CR calculus; 6.3.3 Split-complex Approach; 6.3.4 Dual Univariate Adaptive Filtering Approach (DUAF); 6.4 Normalisation of Learning Algorithms; 6.5 Performance of Feedforward Nonlinear Adaptive Filters; 6.6 Summary: Choice of a Nonlinear Adaptive Filter; 7 Adaptive Filters with Feedback; 7.1 Training of IIR Adaptive Filters; 7.1.1 Coefficient Update for Linear Adaptive IIR Filters 7.1.2 Training of IIR filters with Reduced Computational Complexity |
Record Nr. | UNINA-9910143132303321 |
Mandic Danilo P | ||
Hoboken, N.J., : Wiley, c2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Complex variables : introduction and applications / Mark J. Ablowitz, Athanassios S. Fokas |
Autore | Ablowitz, Mark J. |
Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, c1997 |
Descrizione fisica | xii, 647 p. : ill. ; 24 cm |
Disciplina |
510(021)
515.9 |
Altri autori (Persone) | Fokas, Athanassios S. |
Collana | Cambridge texts in applied mathematics |
Soggetto topico | Functions of complex variables |
ISBN |
0521480582 (hb)
0521485231 (pbk.) |
Classificazione | LC QA331.7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991003069729707536 |
Ablowitz, Mark J. | ||
Cambridge ; New York : Cambridge University Press, c1997 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Complex variables / Robert Ash |
Autore | Ash, Robert B. |
Pubbl/distr/stampa | New York : Academic Press, c1971 |
Descrizione fisica | viii, 255 p. ; 24 cm. |
Disciplina | 515.93 |
Soggetto topico | Functions of complex variables |
ISBN | 0120652501 |
Classificazione |
AMS 30-01
AMS 30-XX |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000771189707536 |
Ash, Robert B. | ||
New York : Academic Press, c1971 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|