On Summability Methods for Conjugate Fourier-Stieltjes Integrals in Several Variables and Generalizations.
Walsh, Thomas.
On Summability Methods for Conjugate Fourier-Stieltjes Integrals in Several Variables and Generalizations. - 1st ed. - 1 online resource (110 pages) - Memoirs of the American Mathematical Society ; v.1 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 0. Introduction -- 1. Summability of conjugate Fourier integrals at Lebesgue points -- 2. Summability of differentiated Fourier integrals at points of differentiability in the L[sup(1)] sense -- 3. Summability of differentiated Fourier integrals at points where ∫|y|≤1|f(x+y)-p(x,y)| |y|[sup(-n-k)]dy< -- ∞ -- 4. Summability of conjugate Fourier integrals almost everywhere -- 5. Summability of differentiated Fourier integrals on measurable sets -- References.
9780821899304
Fourier series.
Summability theory.
Functions of several real variables.
Electronic books.
QA404 -- .W35 1973eb
510/.8 s;515/.43
On Summability Methods for Conjugate Fourier-Stieltjes Integrals in Several Variables and Generalizations. - 1st ed. - 1 online resource (110 pages) - Memoirs of the American Mathematical Society ; v.1 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 0. Introduction -- 1. Summability of conjugate Fourier integrals at Lebesgue points -- 2. Summability of differentiated Fourier integrals at points of differentiability in the L[sup(1)] sense -- 3. Summability of differentiated Fourier integrals at points where ∫|y|≤1|f(x+y)-p(x,y)| |y|[sup(-n-k)]dy< -- ∞ -- 4. Summability of conjugate Fourier integrals almost everywhere -- 5. Summability of differentiated Fourier integrals on measurable sets -- References.
9780821899304
Fourier series.
Summability theory.
Functions of several real variables.
Electronic books.
QA404 -- .W35 1973eb
510/.8 s;515/.43