My Ph.D. thesis (over 340 pages), Henstock–Kurzweil Integral in Abstract Set Up,, conducts treatment of Fubini theorem.
Also Henstock–Kurzweil integral right from the beginning is treated on $\mathbb{R} = [-\infty, \infty]$ and $\mathbb{R}^n$, and now I also have $\mathbb{R}^s$ where $s$ can be countable or uncountable infinite.
It carries the Riemmann sum convergence theorem and generalized Lebesgue dominated convergence.
In fact now I have a generalized Fatou's lemma for arbitrary functions and a generalized monotone convergence theorem
mean value theorem which gives as a corollary Lagrange's mean value theorem.
My thesis can be downloaded from UGC india website.
You can get it by email from me; mail [email protected]
The thesis is refereed by Muldowney, a student of Henstock.
anil pedgaonkar
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