trigonometric series in a sentence

Examples

1. Greater insight into the underlying question that motivates the investigation of lacunary power series and lacunary trigonometric series can be gained by re-examining the simple example above.
2. His Ph . D . thesis titled " Integral and trigonometric series " ( 1915 ) had a large impact on the subsequent development of the metric theory of functions.
3. A solution that satisfies square-integrable initial conditions for " u " and " u t " can be obtained from expansion of these functions in the appropriate trigonometric series.
4. There exist continuous functions whose Fourier series converges pointwise but not uniformly; see Antoni Zygmund, Trigonometric Series, vol . 1, Chapter 8, Theorem 1.13, p . 300.
5. His main focus was on integral equations and he contributed to work in the areas of functional equations, trigonometric series, mathematical physics, geometry, mechanics, algebra, and the history of mathematics.
6. "' Nina Karlovna Bari "'(, November 19, 1901, Moscow  July 15, 1961, Moscow ) was a Soviet mathematician known for her work on trigonometric series.
7. He was one of the authors of the " Enzyklop�die der mathematischen Wissenschaften " ( " Encyclopedia of mathematical sciences " ), contributing on the topics of trigonometric series and differential equations.
8. Bari's last work her 55th publication was a 900-page monograph on the state of the art of trigonometric series theory, which is recognized as a standard reference work for those specializing in function and trigonometric series theory.
9. Bari's last work her 55th publication was a 900-page monograph on the state of the art of trigonometric series theory, which is recognized as a standard reference work for those specializing in function and trigonometric series theory.
10. In 1932, she became a professor at Moscow State University and in 1935 was awarded the title of Doctor of Physical and Mathematical Sciences, a more prestigious research degree than traditional Ph . D . By this time, she had completed foundational work on trigonometric series.