A sheaf of Boehmians

Abstract

We show that Boehmians defined over open sets of R N constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.MSC: Primary 44A40, 46F99; Secondary 44A35, 18F20

On a Widder potential transform and its extension to a space of locally integrable Boehmians

“…For more details we refer to Al-Omari and Kilicman (2012a,b, 2013), Al-Omari (2013a,b,c), Beardsley and Mikusinski (2013), Bhuvaneswari and Karunakaran (2010), Boehme (1973), Ganesan (2010), Karunakaran and Ganesan (2009), Angeline Chella (2011), Loonker and, , Mikusinski (1987Mikusinski ( , 1983Mikusinski ( , 1995, Nemzer (2010Nemzer ( , 2007, Roopkumar (2009), Srivastava and Singh (1985) and Roopkumar (2009), and many others.…”

On the Generalized Krätzel Transform and Its Extension to Bohemian Spaces

“…ℎ → ℎ ∈ BH as → ∞ if and only if there are , , ∈ and ∈ Δ such that ℎ = [ , / ], ℎ = [ / ]and, for all ∈ N, , → ∈ as → ∞. See[6][7][8][9][10][11][12][13][14][15][16][17] for more details.…”