1987, ISBN: 9027721793
[EAN: 9789027721792], Neubuch, [PU: Springer Netherlands Mai 1987], ANALYSIS; CALCULUS; HILBERTSPACE; CONVERGENCE; DIFFERENTIALEQUATION; FILTERING; INTEGRABLESYSTEM; INTEGRAL; INTEGRATION… Meer...
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1987, ISBN: 9027721793
[EAN: 9789027721792], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ANALYSIS; CALCULUS; HILBERTSPACE; CONVERGENCE; DIFFERENTIALEQUATION; FILTERING; INTEGRABLESYSTEM; INTEGRAL; INTEGRATI… Meer...
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ISBN: 9789027721792
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It isn't that they can't see the solution. It is Approach your problems from the right end that they can't see the problem. and begin with the answers. Then one day, perhaps you will find… Meer...
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1987, ISBN: 9027721793
[EAN: 9789027721792], Neubuch, [PU: Springer Netherlands], ANALYSIS CALCULUS HILBERTSPACE CONVERGENCE DIFFERENTIALEQUATION FILTERING INTEGRABLESYSTEM INTEGRAL INTEGRATION MEASURE MEASURET… Meer...
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1987, ISBN: 9027721793
[EAN: 9789027721792], Neubuch, [PU: Springer Netherlands Mai 1987], ANALYSIS; CALCULUS; HILBERTSPACE; CONVERGENCE; DIFFERENTIALEQUATION; FILTERING; INTEGRABLESYSTEM; INTEGRAL; INTEGRATION… Meer...
M. Z. Solomjak:
Spectral Theory of Self-Adjoint Operators in Hilbert Space - gebonden uitgave, pocketboek1987, ISBN: 9027721793
[EAN: 9789027721792], Neubuch, [SC: 0.0], [PU: Springer Netherlands], ANALYSIS; CALCULUS; HILBERTSPACE; CONVERGENCE; DIFFERENTIALEQUATION; FILTERING; INTEGRABLESYSTEM; INTEGRAL; INTEGRATI… Meer...
ISBN: 9789027721792
It isn't that they can't see the solution. It is Approach your problems from the right end that they can't see the problem. and begin with the answers. Then one day, perhaps you will find… Meer...
ISBN: 9789027721792
It isn't that they can't see the solution. It is Approach your problems from the right end that they can't see the problem. and begin with the answers. Then one day, perhaps you will find… Meer...
1987, ISBN: 9027721793
[EAN: 9789027721792], Neubuch, [PU: Springer Netherlands], ANALYSIS CALCULUS HILBERTSPACE CONVERGENCE DIFFERENTIALEQUATION FILTERING INTEGRABLESYSTEM INTEGRAL INTEGRATION MEASURE MEASURET… Meer...
Bibliografische gegevens van het best passende boek
Gedetalleerde informatie over het boek. - Spectral Theory of Self-Adjoint Operators in Hilbert Space Michael Sh. Birman Author
EAN (ISBN-13): 9789027721792
ISBN (ISBN-10): 9027721793
Gebonden uitgave
pocket book
Verschijningsjaar: 2007
Uitgever: Springer Netherlands Core >2 >T
324 Bladzijden
Gewicht: 0,649 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2007-05-15T10:04:40+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2024-02-06T19:54:12+01:00 (Amsterdam)
ISBN/EAN: 9789027721792
ISBN - alternatieve schrijfwijzen:
90-277-2179-3, 978-90-277-2179-2
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: birman solomjak, van gulik, chesterton
Titel van het boek: spectral theory self adjoint operators hilbert space, space ace, operator theory, applications mathematics
Gegevens van de uitgever
Auteur: Michael Sh. Birman; M.Z. Solomjak
Titel: Mathematics and its Applications; Spectral Theory of Self-Adjoint Operators in Hilbert Space
Uitgeverij: Springer; Springer Netherland
302 Bladzijden
Verschijningsjaar: 1987-05-31
Dordrecht; NL
Taal: Engels
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XVI, 302 p.
BB; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Hilbert space; convergence; differential equation; filtering; integrable system; integral; integration; measure; measure theory; metric space; operator; schrödinger operator; spectral theorem; Analysis; BC
1. Preliminaries.- 1. Metric Spaces. Normed Spaces.- 2. Algebras and ?-Algebras of Sets.- 3. Countably Additive Functions and Measures.- 4. Measurable Functions.- 5. Integration.- 6. Function Spaces.- 2. Hilbert Space Geometry. Continuous Linear Operators.- 1. Hilbert Space. The Space L2.- 2. Orthonormal Systems.- 3. Projection Theorem. Orthogonal Expansions and Orthogonal Sums.- 4. Linear Functionals and Sesqui-linear Forms. Weak Convergence.- 5. The Algebra of Continuous Operators on H.- 6. Compact Operators.- 7. Bounded Self-adjoint Operators.- 8. Orthogonal Projections.- 9. Examples of Hilbert Spaces and Orthonormal Systems.- 10. Examples of Continuous Functionals and Operators.- 3. Unbounded Linear Operators.- 1. General Notions. Graph of an Operator.- 2. Closed Operators. Closable Operators.- 3. Adjoint Operator.- 4. Domination of Operators.- 5. Invariant Subspaces.- 6. Reducing Subspaces.- 7. Defect Number, Spectrum, and Resolvent of a Closed Operator.- 8. Skew Decompositions. Skew Reducibility.- 9. Spectral Theory of Compact Operators.- 10. Connection between the Spectral Properties of TS and ST.- 4. Symmetric and Isometric Operators.- 1. Symmetric and Self-adjoint Operators. Deficiency Indices.- 2. Isometric and Unitary Operators.- 3. Cayley Transform.- 4. Extensions of Symmetric Operators. Von Neumann’s Formulae.- 5. The Operator T*T. Normal Operators.- 6. Classification of Spectral Points.- 7. Multiplication by the Independent Variable.- 8. Differentiation Operator.- 5. Spectral Measure. Integration.- 1. Basic Notions.- 2. Extension of a Spectral Measure. Product Measures.- 3. Integral with Respect to a Spectral Measure. Bounded Functions.- 4. Integral with Respect to a Spectral Measure. Unbounded Functions.- 5. An Example of Commuting Spectral Measureswhose Product is not Countably Additive.- 6 Spectral Resolutions.- 1. Statements of Spectral Theorems. Functions of Operators.- 2. Spectral Theorem for Unitary Operators.- 3. Spectral Theorem for Self-adjoint Operators.- 4. Spectral Resolution of a One-parameter Unitary Group.- 5. Joint Spectral Resolution for a Finite Family of Commuting Self-adjoint Operators.- 6. Spectral Resolutions of Normal Operators.- 7 Functional Model and the Unitary Invariants of Self-adjoint Operators.- 1. Direct Integral of Hilbert Spaces.- 2. Multiplication Operators and Decomposable Operators.- 3. Generating Systems and Spectral Types.- 4. Unitary Invariants of Spectral Measure.- 5. Unitary Invariants of Self-adjoint Operators.- 6. Decomposition of a Spectral Measure into the Absolutely Continuous and the Singular Part.- 8 Some Applications of Spectral Theory.- 1. Polar Decomposition of a Closed Operator.- 2. Differential Equations of Evolution on Hilbert Space.- 3. Fourier Transform.- 4. Multiplications on L2 (Rm, Cm).- 5. Differential Operators with Constant Coefficients.- 6. Examples of Differential Operators.- 9 Perturbation Theory.- 1. Essential Spectrum. Compact Perturbations.- 2. Compact Self-adjoint and Normal Operators.- 3. Finite-dimensional Perturbations and Extensions.- 4. Continuous Perturbations.- 10 Semibounded Operators and Forms.- 1. Closed Positive Definite Forms.- 2. Semibounded Forms.- 3. Friedrichs Method of Extension of a Semibounded Operator to a Self-adjoint Operator.- 4. Fractional Powers of Operators. The Heinz Inequality.- 5. Examples of Quadratic Forms. The Sturm-Liouville Operator on [?1, 1].- 6. Examples of Quadratic Forms. One-dimensional Schrödinger Operator.- 11 Classes of Compact Operators.- 1. Canonical Representation and Singular Numbers of CompactOperators.- 2. Nuclear Operators. Trace of an Operator.- 3. Hilbert-Schmidt Operators.- 4. Sp Classes.- 5. Additional Information on Singular Numbers of Compact Operators.- 6. ?p Classes.- 7. Lidskii’s Theorem.- 8. Examples of Compact Operators.- 12 Commutation Relations of Quantum Mechanics.- 1. Statement of the Problem. Auxiliary Material.- 2. Properties of (B)-systems and (C)-systems.- 3. Representations of the Bose Relations. The Case m = 1.- 4. Representations of the Bose Relations. General Case.- 5. Representations of the Canonical Relations.Andere boeken die eventueel grote overeenkomsten met dit boek kunnen hebben:
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