%PDF-1.5 % 1 0 obj << /S /GoTo /D (section.1) >> endobj 4 0 obj (1. Introduction) endobj 5 0 obj << /S /GoTo /D (section.2) >> endobj 8 0 obj (2. Preliminaries) endobj 9 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 12 0 obj (2.1. Approximation of functions via exponentials with purely imaginary exponents) endobj 13 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 16 0 obj (2.2. Prolate spheroidal wave functions) endobj 17 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 20 0 obj (2.3. Numerical construction of interpolating bases for band-limited functions ) endobj 21 0 obj << /S /GoTo /D (subsection.2.4) >> endobj 24 0 obj (2.4. Approximation of functions via decaying oscillatory exponentials) endobj 25 0 obj << /S /GoTo /D (subsection.2.5) >> endobj 28 0 obj (2.5. Reduction algorithms) endobj 29 0 obj << /S /GoTo /D (section.3) >> endobj 32 0 obj (3. Representation of Fourier-type integrals) endobj 33 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 36 0 obj (3.1. A representative example ) endobj 37 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 40 0 obj (3.2. Oscillatory integrals on an interval without stationary points. ) endobj 41 0 obj << /S /GoTo /D (subsection.3.3) >> endobj 44 0 obj (3.3. Oscillatory integrals on an interval containing stationary points) endobj 45 0 obj << /S /GoTo /D (section.4) >> endobj 48 0 obj (4. Representations of more complicated oscillatory integrals) endobj 49 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 52 0 obj (4.1. ExpSin integrals \(integrals with highly oscillatory periodic components\)) endobj 53 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 56 0 obj (4.2. Integrals with composite highly oscillatory periodic components) endobj 57 0 obj << /S /GoTo /D (section.5) >> endobj 60 0 obj (5. Representations of oscillatory functions) endobj 61 0 obj << /S /GoTo /D (subsection.5.1) >> endobj 64 0 obj (5.1. 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