## One-dimensional linear singular integral equations |

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### Contents

Preface | 9 |

The operator of singular integration | 15 |

Onesided invertible operators | 51 |

Copyright | |

5 other sections not shown

### Common terms and phrases

admits a factorization arbitrary assume Banach algebra Banach space belongs boundary value problem boundedness canonical factorization Chapter compact operator Consequently consider continuous coefficients continuous function converges Corollary defined denote dim coker dim ker direct complement direct sum Due to Theorem element equal equivalent factorization with respect following assertions formula Fourier Fredholm operators function g Gohberg Hilbert space Holder condition holomorphic implies invertible operator kernel Krein left invertible Lemma Let the operator linear manifold Lyapunov matem matrix necessary and sufficient neighbourhood nonsimple curve norm normally solvable operator obtain Obviously one-sided invertible operator A0 polynomial projection proof of Theorem proved rational functions regularizable relation right invertible Russian satisfying the condition Section sequence simple closed curve singular integral equations singular integral operators solution space Lp(T subalgebra subspace ker Theorem 4.1 theory trigonometric polynomials valid vector zero