ON THE DENJOY-PERRON-BOCHNER INTEGRAL
نویسندگان
چکیده
منابع مشابه
The distributional Denjoy integral
Let f be a distribution (generalised function) on the real line. If there is a continuous function F with real limits at infinity such that F ′ = f (distributional derivative) then the distributional integral of f is defined as ∫ ∞ −∞ f = F (∞)−F (−∞). It is shown that this simple definition gives an integral that includes the Lebesgue and Henstock–Kurzweil integrals. The Alexiewicz norm leads ...
متن کاملA note on the Bochner-Martinelli integral
C n1ðfÞð f1 q1Þ þ n2ðfÞð f2 q2Þ jf qj f ðfÞdHðfÞ; q R oX; has continuous limit values on C if the truncated integrals.
متن کاملThe Strong Perron Integral
In this paper, we study the strong Perron integral, and show that the strong Perron integral is equivalent to the McShane integral.
متن کاملMicrolocal Analysis of the Bochner-Martinelli Integral
In order to characterise the C∗ -algebra generated by the singular Bochner-Martinelli integral over a smooth closed hypersurfaces in C, we compute its principal symbol. We show then that the Szegö projection belongs to the strong closure of the algebra generated by the singular Bochner-Martinelli integral. Mathematics Subject Classification (2000). Primary 32A25; Secondary 47L15, 47G30.
متن کاملPassage of the Limit through the Double Denjoy Integral
As is well-known, there exist various definitions of the double Denjoy integral (see [1,2,5]). Conditions for passage of limits through these integrals have not yet been studied. The object of this paper is to investigate the conditions for passage of the limit through the double Denjoy integral defined by V.G. Chelidze (see [7]). Here we shall use the well-known terms (see, for example, [8]). ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 1994
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.25.1994.4457