## Linear Operators: Spectral theory |

### From inside the book

Results 1-3 of 57

Page 1629

CHAPTER XIV Linear Partial

The Cauchy Problem, Local Dependence In this chapter, we shall discuss a

variety of theorems having to do with linear partial differential operators. Since

the ...

CHAPTER XIV Linear Partial

**Differential Equations**and Operators 1. IntroductionThe Cauchy Problem, Local Dependence In this chapter, we shall discuss a

variety of theorems having to do with linear partial differential operators. Since

the ...

Page 1792

Boundary value and expansion problems of ordinary linear

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

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

Page 1817

On the essential spectra of ordinary

–838 (1954). Hartman, P., and Putnam, C. 1. 2. The least cluster point of the

spectrum of boundary value problems. Amer. J. Math. 70, 847–855 (1948). The

gaps ...

On the essential spectra of ordinary

**differential equations**. Amer. J. Math. 76, 831–838 (1954). Hartman, P., and Putnam, C. 1. 2. The least cluster point of the

spectrum of boundary value problems. Amer. J. Math. 70, 847–855 (1948). The

gaps ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

BAlgebras | 859 |

Bounded Normal Operators in Hilbert Space | 887 |

Spectral Representation | 909 |

Copyright | |

17 other sections not shown

### Other editions - View all

### Common terms and phrases

adjoint extension adjoint operator algebra Amer analytic B-algebra Banach Borel set boundary conditions boundary values bounded operator closed closure Cº(I coefficients complete complex numbers 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 f Haar measure Hence Hilbert space Hilbert-Schmidt operator identity inequality integral interval kernel Lemma Let f linear operator linearly independent mapping Math matrix measure Nauk SSSR N.S. neighborhood norm open set operators in Hilbert orthogonal orthonormal Plancherel's theorem positive Proc PRoof prove real numbers satisfies sequence singular ſº solution spectral spectral set spectral theory square-integrable subspace Suppose theory To(r topology transform unique unitary vanishes vector zero