دانلود کتاب Trigonometric Fourier Series and Their Conjugates

فهرست مطالب :

Content:
Front Matter....Pages i-xii
Front Matter....Pages 1-1
The Conjugation Operator and the Hilbert Transform....Pages 3-33
Pointwise Convergence and Summability of Trigonometric Series....Pages 35-70
Convergence and Summability of Trigonometric Fourier Series and Their Conjugates in the Spaces $L^p left( T ight),p in left] {0, + infty } ight[$ ....Pages 71-92
Some Approximating Properties of Ces� ro Means of the Series $sigma left[ f ight]$ and $ar sigma left[ f ight]$ ....Pages 93-116
Front Matter....Pages 117-117
Conjugate Functions and Hilbert Transforms of Functions of Several Variables....Pages 119-166
Convergence and Summability at a Point or Almost Everywhere of Multiple Trigonometric Fourier Series and Their Conjugates....Pages 167-203
Some Approximating Properties of n-Fold Ces� ro Means of the Series $sigma _n left[ { ext{f}} ight]$ and $ar sigma _n left[ {{ ext{f,B}}} ight]$ ....Pages 205-224
Convergence and Summability of Multiple Trigonometric Fourier Series and Their Conjugates in the Spaces LP (Tn), p∞]o,+∞]....Pages 225-242
Summability of Series $sigma _2 left[ { ext{f}} ight]$ and $ar sigma _2 left[ {{ ext{f,B}}} ight]$ by a Method of the Marcinkiewicz Type....Pages 243-266
Back Matter....Pages 267-308