## A Primer on Integral Equations of the First Kind: The Problem of Deconvolution and UnfoldingThis book is designed to offer applied mathematicians, physicists, chemists, engineers, geophysicists, and other scientists an elementary level explanation of integral equations of the first kind. It maintains a casual, conversational approach. The book emphasizes understanding, while deliberately avoiding special methods of highly limited application. |

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### Contents

OT27_ch1 | 1 |

OT27_ch2 | 7 |

OT27_ch3 | 27 |

OT27_ch4 | 41 |

OT27_ch5 | 51 |

OT27_ch6 | 71 |

OT27_ch7 | 113 |

OT27_ch8 | 119 |

OT27_appendixa | 125 |

OT27_appendixb | 127 |

OT27_appendixc | 129 |

121 | |

### Other editions - View all

A Primer on Integral Equations of the First Kind: The Problem of ... George Milton Wing Limited preview - 1991 |

A Primer on Integral Equations of the First Kind: The Problem of ... G. Milton Wing No preview available - 1991 |

A Primer on Integral Equations of the First Kind: The Problem of ... G. Milton Wing,John D. Zahrt No preview available - 1991 |

### Common terms and phrases

Alamos National Laboratory approximate arguments assume basic behavior bounded operator calculated chapter coefficients computed concept condition number consider convergence defined derivative determined differentiation difficulties discussion eigenfunctions exist experiment experimental f and g fact finite number function f function spaces ground rules ill posed infinite series integral equations integral operator interest inverse iteration kernel K(x known Laplace transform least squares linear mathematical matrix operator nonzero eigenvalues norm Note Observe odd function one-norm operator norm orthogonal orthonormal parameters particle possible previous section problem properties Quadrature Approach quadrature method quadrature points quadrature scheme recall replaced resolve restricted second kind Section 5.3 Separable Kernels series expansion singular functions singular value decomposition singular values Sn(z ſº sup-norm Suppose symmetric matrix theory Tikhonov regularization tions truncated two-norm unbounded uniform convergence unique solution usually variable vectors write zero