By Swokowski

ISBN-10: 2804115941

ISBN-13: 9782804115944

**Read or Download ANALYSE, CHAPITRE 6: APPLICATION DE L'INTÉGRALE DÉFINIE PDF**

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**Additional info for ANALYSE, CHAPITRE 6: APPLICATION DE L'INTÉGRALE DÉFINIE**

**Example text**

DE BRANGES DE BOURCIA March 4, 2004 31 Theorem 8. If D(U ) is the state space of a canonical unitary linear system with transfer function U (z) and if D(V ) is the state space of a canonical unitary linear system with transfer function V (z) such that the inequality 1 ≤ [1 − |U (z)|2 ]−1 + [1 − |V (z)|2 ]−1 holds when z is in the unit disk, then a Hilbert space E exists whose elements are the pairs (u(z), v(z)) of power series u(z) = f (z) + U (z)h(z) and v(z) = k(z) + V ∗ (z)g(z) for elements (f (z), g(z)) of the space D(U ) and (h(z), k(z)) of the space D(V ) and which satisfies the identity (u(z), v(z)), (u(z), v(z)) sD(W ) = (f (z), g(z)), (f (z), g(z)) D(U) + (h(z), k(z)), (h(z), k(z)) D(V ) .

De Branges and J. Rovnyak, Square Summable Power Series, Holt, Rinehart, and Winston, New York, 1966. 32 9. 10. NEVANLINNA FACTORIZATION AND THE BIEBERBACH CONJECTURE , Canonical models in quantum scattering theory, Perturbation Theory and its Applications in Quantum Mechanics, Wiley, New York, 1966, pp. 295–392. , Cardinality and invariant subspaces, preprint (2004).

32 9. 10. NEVANLINNA FACTORIZATION AND THE BIEBERBACH CONJECTURE , Canonical models in quantum scattering theory, Perturbation Theory and its Applications in Quantum Mechanics, Wiley, New York, 1966, pp. 295–392. , Cardinality and invariant subspaces, preprint (2004).

### ANALYSE, CHAPITRE 6: APPLICATION DE L'INTÉGRALE DÉFINIE by Swokowski

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