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A Primer on Hilbert Space Operators / Piotr Sołtan
| A Primer on Hilbert Space Operators / Piotr Sołtan |
| Autore | Sołtan, Piotr M. |
| Pubbl/distr/stampa | Cham, : Birkhäuser, 2018 |
| Descrizione fisica | xii, 200 p. ; 24 cm |
| Soggetto topico |
47-XX - Operator theory [MSC 2020]
65Nxx - Numerical methods for partial differential equations, boundary value problems [MSC 2020] 47Dxx - Groups and semigroups of linear operators, their generalizations and applications [MSC 2020] 47Bxx - Special classes of linear operators [MSC 2020] 65Dxx - Numerical approximation and computational geometry (primarily algorithms) [MSC 2020] 65Cxx - Probabilistic methods, stochastic differential equations [MSC 2020] 11K38 - Irregularities of distribution, discrepancy [MSC 2020] 65Rxx - Numerical methods for integral equations, integral transforms [MSC 2020] |
| Soggetto non controllato |
Algebra
Bounded operator Functional calculus Hilbert Space Unbounded operator z-transform |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124514 |
Sołtan, Piotr M.
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| Cham, : Birkhäuser, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Extensions of positive definite functions : applications and their harmonic analysis / Palle Jorgensen, Steen Pedersen, Feng Tian
| Extensions of positive definite functions : applications and their harmonic analysis / Palle Jorgensen, Steen Pedersen, Feng Tian |
| Autore | Jorgensen, Palle E. T. |
| Pubbl/distr/stampa | [Cham], : Springer, 2016 |
| Descrizione fisica | XXVI, 231 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Pedersen, Steen
Tian, Feng |
| Soggetto topico | 43-XX - Abstract harmonic analysis [MSC 2020] |
| Soggetto non controllato |
Completely monotone functions
Gaussian processes Gelfand Triples Pontryagin-Bochner duality Positive definite functions Reproducing Kernel Hilbert spaces Spectral Theory Unbounded operator Unitary representations von Neumann’s theory of deficiency indices |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0107471 |
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Jorgensen, Palle E. T.
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| [Cham], : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos
| Finite Dimensional Vector Spaces. (AM-7), Volume 7 / / Paul R. Halmos |
| Autore | Halmos Paul R (Paul Richard), <1916-2006, > |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (206 pages) |
| Disciplina | 512.52 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Transformations (Mathematics)
Generalized spaces |
| Soggetto non controllato |
Absolute value
Accuracy and precision Addition Affine space Algebraic closure Algebraic equation Algebraic operation Algebraically closed field Associative property Automorphism Axiom Banach space Basis (linear algebra) Bilinear form Bounded operator Cardinal number Cayley transform Characteristic equation Characterization (mathematics) Coefficient Commutative property Complex number Complex plane Computation Congruence relation Convex set Coordinate system Determinant Diagonal matrix Dimension (vector space) Dimension Dimensional analysis Direct product Direct proof Direct sum Division by zero Dot product Dual basis Eigenvalues and eigenvectors Elementary proof Equation Euclidean space Existential quantification Function of a real variable Functional calculus Fundamental theorem Geometry Gram–Schmidt process Hermitian matrix Hilbert space Infimum and supremum Jordan normal form Lebesgue integration Linear combination Linear function Linear independence Linear map Linear programming Linearity Manifold Mathematical induction Mathematics Minimal polynomial (field theory) Minor (linear algebra) Monomial Multiplication sign Natural number Nilpotent Normal matrix Normal operator Number theory Orthogonal basis Orthogonal complement Orthogonal coordinates Orthogonality Orthonormality Polynomial Quotient space (linear algebra) Quotient space (topology) Real number Real variable Scalar (physics) Scientific notation Series (mathematics) Set (mathematics) Sign (mathematics) Special case Spectral theorem Spectral theory Summation Tensor calculus Theorem Topology Transitive relation Unbounded operator Uncountable set Unit sphere Unitary transformation Variable (mathematics) Vector space |
| ISBN | 1-4008-8223-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | PREFACE -- TABLE OP CONTENTS -- ERRATA -- Chapter I. SPACES -- Chapter II. TRANSFORMATIONS -- Chapter III. ORTHOGONALITY -- APPENDIX I. THE CLASSICAL CANONICAL FORM -- APPENDIX II. DIRECT PRODUCTS -- APPENDIX III. HILBERT SPACE -- BIBLIOGRAPHY -- LIST OF NOTATIONS -- INDEX OF DEFINITIONS |
| Record Nr. | UNINA-9910154744503321 |
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Halmos Paul R (Paul Richard), <1916-2006, >
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Functional Operators (AM-22), Volume 2 : The Geometry of Orthogonal Spaces. (AM-22) / / John von Neumann
| Functional Operators (AM-22), Volume 2 : The Geometry of Orthogonal Spaces. (AM-22) / / John von Neumann |
| Autore | von Neumann John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (116 pages) |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Functional analysis
Geometry |
| Soggetto non controllato |
Affine space
Axiom C0 Combination Commutative property Complex number Corollary Countable set Dimension (vector space) Dimension Direct product Discrete measure Empty set Euclidean space Existential quantification Finite set Hilbert space Infimum and supremum Linear map Linearity Mutual exclusivity Natural number Ordinal number Separable space Sequence Set (mathematics) Special case Subset Summation Theorem Theory Transfinite induction Transfinite Unbounded operator Variable (mathematics) Well-order Well-ordering theorem |
| ISBN | 1-4008-8225-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- CHAPTER XII. LINEAR SPACES -- CHAPTER XIII. LINEAR OPERATORS -- CHAPTER XIV. COMMUTATIVITY, REDUCTIBILITY |
| Record Nr. | UNINA-9910154748003321 |
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von Neumann John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
| Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland |
| Autore | Folland Gerald B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (289 pages) : illustrations |
| Disciplina | 530.1/3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Phase space (Statistical physics)
Harmonic analysis |
| Soggetto non controllato |
Analytic continuation
Analytic function Antisymmetric tensor Asymptotic expansion Automorphism Bilinear form Bounded operator Calculation Canonical commutation relation Canonical transformation Cauchy–Riemann equations Cayley transform Class function (algebra) Classical mechanics Commutative property Complex analysis Configuration space Differential equation Differential geometry Differential operator Eigenvalues and eigenvectors Equation Explicit formula Fock space Fourier analysis Fourier integral operator Fourier transform Functional analysis Gaussian function Gaussian integral Geometric quantization Hamiltonian mechanics Hamiltonian vector field Harmonic analysis Heisenberg group Hermite polynomials Hermitian symmetric space Hilbert space Hilbert transform Integral transform Invariant subspace Irreducible representation Lebesgue measure Lie algebra Lie superalgebra Lie theory Mathematical physics Number theory Observable Ordinary differential equation Orthonormal basis Oscillator representation Oscillatory integral Partial differential equation Phase factor Phase space Point at infinity Poisson bracket Polynomial Power series Probability Projection (linear algebra) Projective Hilbert space Projective representation Projective space Pseudo-differential operator Pullback (category theory) Quadratic function Quantum harmonic oscillator Quantum mechanics Representation theory Schrödinger equation Self-adjoint operator Semigroup Several complex variables Siegel disc Sobolev space Spectral theorem Spectral theory State-space representation Stone's theorem Stone–Weierstrass theorem Summation Symmetric space Symmetric tensor Symplectic geometry Symplectic group Symplectic vector space Symplectomorphism Tangent space Tangent vector Theorem Translational symmetry Unbounded operator Unit vector Unitarity (physics) Unitary operator Unitary representation Variable (mathematics) Wave packet |
| ISBN | 1-4008-8242-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- PROLOGUE. SOME MATTERS OF NOTATION -- CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS -- CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS -- CHAPTER 3. WAVE PACKETS AND WAVE FRONTS -- CHAPTER 4. THE METAPLECTIC REPRESENTATION -- CHAPTER 5. THE OSCILLATOR SEMIGROUP -- APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS -- APPENDIX B. SOME HILBERT SPACE RESULTS -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154752303321 |
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Folland Gerald B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Stable approximate evaluation of unbounded operators / Charles W. Groetsch
| Stable approximate evaluation of unbounded operators / Charles W. Groetsch |
| Autore | Groetsch, Charles W. |
| Pubbl/distr/stampa | Berlin, : Springer, 2007 |
| Descrizione fisica | X, 127 p. ; 24 cm |
| Soggetto topico |
47A52 - Linear operators and ill-posed problems, regularization [MSC 2020]
47A58 - Linear operator approximation theory [MSC 2020] 65J20 - Numerical solutions of ill-posed problems in abstract spaces; regularization [MSC 2020] 65J22 - Numerical solution to inverse problems in abstract spaces [MSC 2020] |
| Soggetto non controllato |
Approximation
Hilbert Space Ill-posed problem Inverse Problems Stabilization Unbounded operator |
| ISBN | 978-35-403-9942-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0059340 |
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Groetsch, Charles W.
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| Berlin, : Springer, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach
| Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach |
| Autore | Roach G. F (Gary Francis) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 531/.1133 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Perturbation (Mathematics) |
| Soggetto non controllato |
Acoustic wave equation
Acoustic wave Affine space Angular frequency Approximation Asymptotic analysis Asymptotic expansion Banach space Basis (linear algebra) Bessel's inequality Boundary value problem Bounded operator C0-semigroup Calculation Characteristic function (probability theory) Classical physics Codimension Coefficient Continuous function (set theory) Continuous function Continuous spectrum Convolution Differentiable function Differential equation Dimension (vector space) Dimension Dimensional analysis Dirac delta function Dirichlet problem Distribution (mathematics) Duhamel's principle Eigenfunction Eigenvalues and eigenvectors Electromagnetism Equation Existential quantification Exponential function Floquet theory Fourier inversion theorem Fourier series Fourier transform Fredholm integral equation Frequency domain Helmholtz equation Hilbert space Initial value problem Integral equation Integral transform Integration by parts Inverse problem Inverse scattering problem Lebesgue measure Linear differential equation Linear map Linear space (geometry) Locally integrable function Longitudinal wave Mathematical analysis Mathematical physics Metric space Operator theory Ordinary differential equation Orthonormal basis Orthonormality Parseval's theorem Partial derivative Partial differential equation Phase velocity Plane wave Projection (linear algebra) Propagator Quantity Quantum mechanics Reflection coefficient Requirement Riesz representation theorem Scalar (physics) Scattering theory Scattering Scientific notation Self-adjoint operator Self-adjoint Series expansion Sine wave Spectral method Spectral theorem Spectral theory Square-integrable function Subset Theorem Theory Time domain Time evolution Unbounded operator Unitarity (physics) Vector space Volterra integral equation Wave function Wave packet Wave propagation |
| ISBN |
1-282-15878-3
9786612158780 1-4008-2816-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index |
| Record Nr. | UNINA-9910778218403321 |
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Roach G. F (Gary Francis)
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| Princeton, N.J., : Princeton University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach
| Wave scattering by time dependent perturbations [[electronic resource] ] : an introduction / / G.F. Roach |
| Autore | Roach G. F (Gary Francis) |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2007 |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 531/.1133 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Waves - Mathematics
Scattering (Physics) - Mathematics Perturbation (Mathematics) |
| Soggetto non controllato |
Acoustic wave equation
Acoustic wave Affine space Angular frequency Approximation Asymptotic analysis Asymptotic expansion Banach space Basis (linear algebra) Bessel's inequality Boundary value problem Bounded operator C0-semigroup Calculation Characteristic function (probability theory) Classical physics Codimension Coefficient Continuous function (set theory) Continuous function Continuous spectrum Convolution Differentiable function Differential equation Dimension (vector space) Dimension Dimensional analysis Dirac delta function Dirichlet problem Distribution (mathematics) Duhamel's principle Eigenfunction Eigenvalues and eigenvectors Electromagnetism Equation Existential quantification Exponential function Floquet theory Fourier inversion theorem Fourier series Fourier transform Fredholm integral equation Frequency domain Helmholtz equation Hilbert space Initial value problem Integral equation Integral transform Integration by parts Inverse problem Inverse scattering problem Lebesgue measure Linear differential equation Linear map Linear space (geometry) Locally integrable function Longitudinal wave Mathematical analysis Mathematical physics Metric space Operator theory Ordinary differential equation Orthonormal basis Orthonormality Parseval's theorem Partial derivative Partial differential equation Phase velocity Plane wave Projection (linear algebra) Propagator Quantity Quantum mechanics Reflection coefficient Requirement Riesz representation theorem Scalar (physics) Scattering theory Scattering Scientific notation Self-adjoint operator Self-adjoint Series expansion Sine wave Spectral method Spectral theorem Spectral theory Square-integrable function Subset Theorem Theory Time domain Time evolution Unbounded operator Unitarity (physics) Vector space Volterra integral equation Wave function Wave packet Wave propagation |
| ISBN |
1-282-15878-3
9786612158780 1-4008-2816-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Outline of Contents -- Chapter Two. Some Aspects of Waves on Strings -- Chapter Three. Mathematical Preliminaries -- Chapter Four. Spectral Theory and Spectral Decompositions -- Chapter Five. On Nonautonomous Problems -- Chapter Six. On Scattering Theory Strategies -- Chapter Seven. Echo Analysis -- Chapter Eight. Wave Scattering from Time-Periodic Perturbations -- Chapter Nine Concerning Inverse Problems -- Chapter Ten. Some Remarks on Scattering in Other Wave Systems -- Chapter Eleven. Commentaries and Appendices -- Bibliography -- Index |
| Record Nr. | UNINA-9910813420003321 |
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Roach G. F (Gary Francis)
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| Princeton, N.J., : Princeton University Press, 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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