 | Dissertationes mathematicae. 483: A general integral / R.Estrada, J.Vindas; Institute of Mathematics, Polish Academy of Sciences. - Warszawa: Instytut matematyczny PAN, 2012. - iii, 49 p. - Ref.: p.47-49. - ISSN 0012-3862
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1 Introduction ................................................. 5
2 Preliminaries ................................................ 8
2.1 Spaces .................................................. 8
2.2 Point values ............................................ 8
2.3 The Cesaro behavior of distributions at infinity ....... 10
2.4 Evaluations ............................................ 10
2.5 Łojasiewicz distributions .............................. 11
2.6 Distributionally regulated functions ................... 12
2.7 Romanovski's lemma ..................................... 13
2.8 Measures ............................................... 14
3 The ø-transform ............................................. I4
4 The definite integral ....................................... I8
5 The indefinite integral ..................................... 21
6 Comparison with other integrals ............................. 24
7 Distributions and integration ............................... 28
8 Improper integrals .......................................... 32
9 Convergence theorems ........................................ 35
10 Change of variables ......................................... 38
11 Mean value theorems ......................................... 41
12 Examples .................................................... 42
References ..................................................... 47
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