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Hermitian Analysis [[electronic resource] ] : From Fourier Series to Cauchy-Riemann Geometry / / by John P. D'Angelo
| Hermitian Analysis [[electronic resource] ] : From Fourier Series to Cauchy-Riemann Geometry / / by John P. D'Angelo |
| Autore | D'Angelo John P |
| Edizione | [2nd ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 |
| Descrizione fisica | 1 online resource (X, 229 p. 28 illus., 20 illus. in color.) |
| Disciplina | 515.2433 |
| Collana | Cornerstones |
| Soggetto topico |
Functions of complex variables
Differential geometry Fourier analysis Functions of a Complex Variable Differential Geometry Fourier Analysis |
| ISBN | 3-030-16514-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction to Fourier series -- Hilbert spaces -- Fourier transform on R -- Geometric considerations -- The unit sphere and CR geometry -- Appendix. |
| Record Nr. | UNINA-9910338258903321 |
D'Angelo John P
|
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hermitian Analysis [[electronic resource] ] : From Fourier Series to Cauchy-Riemann Geometry / / by John P. D'Angelo
| Hermitian Analysis [[electronic resource] ] : From Fourier Series to Cauchy-Riemann Geometry / / by John P. D'Angelo |
| Autore | D'Angelo John P |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2013 |
| Descrizione fisica | 1 online resource (211 p.) |
| Disciplina | 515.2433 |
| Collana | Cornerstones |
| Soggetto topico |
Fourier analysis
Differential geometry Differential equations Fourier Analysis Differential Geometry Ordinary Differential Equations |
| ISBN | 1-4614-8526-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Introduction to Fourier series -- Hilbert spaces -- Fourier transform on R -- Geometric considerations -- Appendix -- References -- Index. . |
| Record Nr. | UNINA-9910438027503321 |
|
D'Angelo John P
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| New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Inequalities from complex analysis [[electronic resource] /] / John P. D'Angelo
| Inequalities from complex analysis [[electronic resource] /] / John P. D'Angelo |
| Autore | D'Angelo John P |
| Pubbl/distr/stampa | [Washington, D.C.], : Mathematical Association of America, c2002 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 515/.9 |
| Collana | The Carus mathematical monographs |
| Soggetto topico |
Functions of complex variables
Inequalities (Mathematics) Mathematical analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-88385-970-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover ""; ""Title ""; ""Contents""; ""Preface""; ""I. Complex Numbers""; ""I.1 The real number system""; ""I.2 Definition of the complex number field""; ""I.3 Elementary complex geometry""; ""I.4 Alternative definitions of the complex numbers""; ""I.4.1 Using matrices""; ""I.4.2 Using polynomials""; ""I.5 Completeness""; ""I.6 Convergence for power series""; ""I.7 Trigonometry""; ""I.8 Roots of unity""; ""I.9 Summary""; ""II. Complex Euclidean Spaces and Hilbert Spaces""; ""II.1 Hermitian inner products""; ""II.2 Orthogonality, projections and closed subspaces""
""II.3 Orthonormal expansion""""II.4 The polarization identity""; ""II.5 Generating functions and orthonormal systems""; ""III. Complex Analysis in Several Variables""; ""III.1 Holomorphic functions""; ""III.2 Some calculus""; ""III.3 The Bergman kernel function""; ""IV. Linear Transformations and Positivity Conditions""; ""IV.1 Adjoints and Hermitian forms""; ""IV.2 Solving linear equations""; ""IV.3 Linearization""; ""IV.4 Eigenvalues and the spectral theorem in finite dimensions""; ""IV.5 Positive definite linear transformations in finite dimensions""; ""IV.6 Hilbert's inequality"" ""IV.7 Additional inequalities from Fourier analysis""""V. Compact and Integral Operators""; ""V.1 Convergence properties for bounded linear transformations""; ""V.2 Compact operators on Hilbert space""; ""V.3 The spectral theorem for compact Hermitian operators""; ""V.4 Integral operators""; ""V.5 A glimpse at singular integral operators""; ""VI. Positivity Conditions for Real-valued Functions""; ""VI.1 Real variables analogues""; ""VI.2 Real-valued polynomials on C^n""; ""VI.3 Squared norms and quotients of squared norms""; ""VI.4 Plurisubharmonic functions"" ""VI.5 Positivity conditions for polynomials""""VII. Stabilization and Applications""; ""VII.1 Stabilization for positive bihomogeneous polynomials""; ""VII.2 Positivity everywhere""; ""VII.3 Positivity on the unit sphere""; ""VII.4 Applications to proper holomorphic mappings between balls""; ""VII.5 Positivity on zero sets""; ""VII.6 Proof of stabilization""; ""VIII. Afterword""; ""APPENDIX A""; ""A.1 Algebra""; ""A.2 Analysis""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910463061403321 |
|
D'Angelo John P
|
||
| [Washington, D.C.], : Mathematical Association of America, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||