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Mathematical Analysis and Analytic Number Theory 2019
| Mathematical Analysis and Analytic Number Theory 2019 |
| Autore | Srivastava Rekha |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 |
| Descrizione fisica | 1 electronic resource (318 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
subordination
functions with positive real part reciprocals univalent functions starlikeness convexity close-to-convexity hyper-Bessel functions Hardy space distribution fractional Laplacian Riesz fractional derivative delta sequence convolution subordinations starlike functions convex functions close-to-convex functions cardioid domain Hankel determinant m-fold symmetric functions harmonic univalent functions with symmetric conjecture point integral expressions coefficient estimates distortion umbral methods harmonic numbers special functions integral representations laplace and other integral transforms analytic functions quasi-Hadamard differential operator closure property riemann zeta function asymptotics exponential sums multivalent functions q-Ruschweyh differential operator q-starlike functions circular domain q-Bernardi integral operator Bessel functions Appell–Bessel functions generating functions Chebyshev polynomials Euler sums Catalan’s constant Trigamma function integral representation closed form ArcTan and ArcTanh functions partial fractions Lambert series cotangent sum modular transformation Dedekind sum lemniscate of Bernoulli Hankel determinant determinant inverse Mersenne number periodic tridiagonal Toeplitz matrix Sherman-Morrison-Woodbury formula Fibonacci number Lucas number Toeplitz matrix Hankel matrix univalent function second Hankel determinant bi-close-to-convex functions gamma function and its extension Pochhammer symbol and its extensions hypergeometric function and its extensions τ-Gauss hypergeometric function and its extensions τ-Kummer hypergeometric function Fox-Wright function p-valent analytic function Hadamard product q-integral operator generalized Lupaş operators q analogue Korovkin’s type theorem convergence theorems Voronovskaya type theorem starlike function subordinate Janowski functions conic domain q-convex functions q-close-to-convex functions theta-function identities multivariable R-functions Jacobi’s triple-product identity Ramanujan’s theta functions q-product identities Euler’s pentagonal number theorem Rogers-Ramanujan continued fraction Rogers-Ramanujan identities combinatorial partition-theoretic identities Schur’s, the Göllnitz-Gordon’s and the Göllnitz’s partition identities Schur’s second partition theorem |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557507003321 |
Srivastava Rekha
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Positive definite matrices [[electronic resource] /] / Rajendra Bhatia
| Positive definite matrices [[electronic resource] /] / Rajendra Bhatia |
| Autore | Bhatia Rajendra <1952-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2007 |
| Descrizione fisica | 1 online resource (265 p.) |
| Disciplina | 512.9/434 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico | Matrices |
| Soggetto non controllato |
Addition
Analytic continuation Arithmetic mean Banach space Binomial theorem Block matrix Bochner's theorem Calculation Cauchy matrix Cauchy–Schwarz inequality Characteristic polynomial Coefficient Commutative property Compact space Completely positive map Complex number Computation Continuous function Convex combination Convex function Convex set Corollary Density matrix Diagonal matrix Differential geometry Eigenvalues and eigenvectors Equation Equivalence relation Existential quantification Extreme point Fourier transform Functional analysis Fundamental theorem G. H. Hardy Gamma function Geometric mean Geometry Hadamard product (matrices) Hahn–Banach theorem Harmonic analysis Hermitian matrix Hilbert space Hyperbolic function Infimum and supremum Infinite divisibility (probability) Invertible matrix Lecture Linear algebra Linear map Logarithm Logarithmic mean Mathematics Matrix (mathematics) Matrix analysis Matrix unit Metric space Monotonic function Natural number Open set Operator algebra Operator system Orthonormal basis Partial trace Positive definiteness Positive element Positive map Positive semidefinite Positive-definite function Positive-definite matrix Probability measure Probability Projection (linear algebra) Quantity Quantum computing Quantum information Quantum statistical mechanics Real number Riccati equation Riemannian geometry Riemannian manifold Riesz representation theorem Right half-plane Schur complement Schur's theorem Scientific notation Self-adjoint operator Sign (mathematics) Special case Spectral theorem Square root Standard basis Summation Tensor product Theorem Toeplitz matrix Unit vector Unitary matrix Unitary operator Upper half-plane Variable (mathematics) |
| ISBN |
1-282-12974-0
9786612129742 1-4008-2778-7 |
| Classificazione | SK 220 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Positive Matrices -- Chapter Two. Positive Linear Maps -- Chapter Three. Completely Positive Maps -- Chapter Four. Matrix Means -- Chapter Five. Positive Definite Functions -- Chapter Six. Geometry of Positive Matrices -- Bibliography -- Index -- Notation |
| Record Nr. | UNINA-9910777727303321 |
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Bhatia Rajendra <1952->
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| Princeton, N.J., : Princeton University Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin
| The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 / / L. Boutet de Monvel, Victor Guillemin |
| Autore | Boutet de Monvel L. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (168 pages) |
| Disciplina | 515.7/246 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Toeplitz operators
Spectral theory (Mathematics) |
| Soggetto non controllato |
Algebraic variety
Asymptotic analysis Asymptotic expansion Big O notation Boundary value problem Change of variables Chern class Codimension Cohomology Compact group Complex manifold Complex vector bundle Connection form Contact geometry Corollary Cotangent bundle Curvature form Diffeomorphism Differentiable manifold Dimensional analysis Discrete spectrum Eigenvalues and eigenvectors Elaboration Elliptic operator Embedding Equivalence class Existential quantification Exterior (topology) Fourier integral operator Fourier transform Hamiltonian vector field Holomorphic function Homogeneous function Hypoelliptic operator Integer Integral curve Integral transform Invariant subspace Lagrangian (field theory) Lagrangian Limit point Line bundle Linear map Mathematics Metaplectic group Natural number Normal space One-form Open set Operator (physics) Oscillatory integral Parallel transport Parameter Parametrix Periodic function Polynomial Projection (linear algebra) Projective variety Pseudo-differential operator Q.E.D. Quadratic form Quantity Quotient ring Real number Scientific notation Self-adjoint Smoothness Spectral theorem Spectral theory Square root Submanifold Summation Support (mathematics) Symplectic geometry Symplectic group Symplectic manifold Symplectic vector space Tangent space Theorem Todd class Toeplitz algebra Toeplitz matrix Toeplitz operator Trace formula Transversal (geometry) Trigonometric functions Variable (mathematics) Vector bundle Vector field Vector space Volume form Wave front set |
| ISBN | 1-4008-8144-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- §1. Introduction -- §2. GENERALIZED TOEPLITZ OPERATORS -- §3. FOURIER INTEGRAL OPERATORS OF HERMITE TYPE -- §4. THE METAPLECTIC REPRESENTATION -- §5. METALINEAR AND METAPLECTIC STRUCTURES ON MANIFOLDS -- §6. ISOTROPIC SUBSPACES OF SYMPLECTIC VECTOR SPACES -- §7. THE COMPOSITION THEOREM -- §8. THE PROOF OF THEOREM 7.5 -- §9. PULL-BACKS, PUSH-FORWARDS AND EXTERIOR TENSOR PRODUCTS -- §10. THE TRANSPORT EQUATION -- §11. SYMBOLIC PROPERTIES OF TOEPLITZ OPERATORS -- §12. THE TRACE FORMULA -- §13. SPECTRAL PROPERTIES OF TOEPLITZ OPERATORS -- §14. THE HILBERT POLYNOMIAL -- §15. SOME CONCLUDING REMARKS -- BIBLIOGRAPHY -- APPENDIX: QUANTIZED CONTACT STRUCTURES -- Backmatter |
| Record Nr. | UNINA-9910154743403321 |
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Boutet de Monvel L.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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