Sets of divergence of Taylor series and of trigonometric series
نویسندگان
چکیده
منابع مشابه
a cross-comparative dtudy between two textbook series in terms of the presentation of politeness
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Rearrangements of Trigonometric Series and Trigonometric Polynomials
Abstract. The paper is related to the following question of P. L. Ul’yanov: is it true that for any 2π-periodic continuous function f there is a uniformly convergent rearrangement of its trigonometric Fourier series? In particular, we give an affirmative answer if the absolute values of Fourier coefficients of f decrease. Also, we study a problem how to choose m terms of a trigonometric polynom...
متن کاملSets of Uniqueness for Spherically Convergent Multiple Trigonometric Series
A subset E of the d-dimensional torus Td is called a set of uniqueness, or U -set, if every multiple trigonometric series spherically converging to 0 outside E vanishes identically. We show that all countable sets are U -sets and also that HJ sets are U -sets for every J . In particular, C × Td−1, where C is the Cantor set, is an H1 set and hence a U -set. We will say that E is a UA-set if ever...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1954
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-10413