Regularly varying rates of decrease for moduli of continuity and fourier transforms of functions on Rd Academic Article

abstract

• We describe the correspondence between rates of decrease for various moduli of continuity of a function on Rd and for the tail-integral of the function's Fourier transform. In place of a power function (e.g., t-x), we use a regularly varying function to describe the rates of decrease. 1991.

authors

• Cline, Daren

published proceedings

• Journal of Mathematical Analysis and Applications

author list (cited authors)

• Cline, D.

citation count

• 7

complete list of authors

• Cline, Daren BH

publication date

• January 1991

publisher

• Elsevier  Publisher

published in

• Journal of Mathematical Analysis and Applications  Journal

Digital Object Identifier (DOI)

• 10.1016/0022-247x(91)90211-h

start page

• 507

end page

• 519

volume

• 159

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2F0022-247x%2891%2990211-h