## Linear Operators: Spectral theory |

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Page 1503

Examples We now wish to illustrate the application of the preceding theory to

specific

past few sections, he will find it evident that in applying the general methods to ...

Examples We now wish to illustrate the application of the preceding theory to

specific

**differential equations**. If the reader surveys the theory developed in thepast few sections, he will find it evident that in applying the general methods to ...

Page 1792

Boundary value and expansion problems of ordinary linear

Trans. Amer. Math. Soc. 9, 373-395 (1908). 4. Existence and oscillation theorems

for a certain boundary value problem. Trans. Amer. Math. Soc. 10, 259-270 ...

Boundary value and expansion problems of ordinary linear

**differential equations**.Trans. Amer. Math. Soc. 9, 373-395 (1908). 4. Existence and oscillation theorems

for a certain boundary value problem. Trans. Amer. Math. Soc. 10, 259-270 ...

Page 1816

The Lt-solutions of linear

solution fields of almost separable

linear logarithmico-exponential

The Lt-solutions of linear

**differential equations**of second order. ... Unrestrictedsolution fields of almost separable

**differential equations**. Trans. Amer. ... On thelinear logarithmico-exponential

**differential equation**of the second order. Amer.### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 860 |

Commutative BAlgebras | 874 |

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### Common terms and phrases

Acad adjoint extension adjoint operator algebra Amer analytic B-algebra B*-algebra Banach spaces Borel set boundary conditions boundary values bounded operator closed closure coefficients complex numbers constant continuous function converges Corollary deficiency indices Definition denote dense differential equations Doklady Akad domain eigenfunctions eigenvalues element essential spectrum exists finite dimensional follows from Lemma follows from Theorem follows immediately formal differential operator formally self adjoint formula Fourier function g Haar measure Hence Hilbert space Hilbert-Schmidt operator hypothesis identity inequality integral interval kernel Lemma linear operator linearly independent mapping Math matrix measure Nauk SSSR N. S. neighborhood norm open set operators in Hilbert orthogonal orthonormal partial differential operator Plancherel's theorem positive Proc prove real axis real numbers representation satisfies second order Section sequence singular solution spectral set spectral theory square-integrable subspace Suppose symmetric operator topology transform unique unitary vanishes vector zero