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CONTENTS<br />

5.3.2 Analytical model . . . . . . . . . . . . . . . . . . . . . . . . 129<br />

5.3.3 Model fitting to soft sources . . . . . . . . . . . . . . . . . . 130<br />

5.3.4 Model fitting to hard and ultrahard sources . . . . . . . . . 131<br />

5.4 Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133<br />

5.4.1 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133<br />

5.4.2 Accretion history of the Universe . . . . . . . . . . . . . . . 137<br />

5.5 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 140<br />

6 Summary of the results 147<br />

6.1 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147<br />

6.2 Future prospects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152<br />

A Sensitivity maps 155<br />

References 160<br />

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