Wyniki wyszukiwania

1

A Helson set of uniqueness but not of synthesis

100%

Körner T. W.

Colloquium Mathematicum

|

1991

|

tom 62

|

nr 1

67-71

EN

In [3] I showed that there are Helson sets on the circle 𝕋 which are not of synthesis, by constructing a Helson set which was not of uniqueness and so automatically not of synthesis. In [2] Kaufman gave a substantially simpler construction of such a set; his construction is now standard. It is natural to ask whether there exist Helson sets which are of uniqueness but not of synthesis; this has circulated as an open question. The answer is "yes" and was also given in [3, pp. 87-92] but seems to have got lost in the depths of that rather long paper. Furthermore, the proof depends on the methods of [3], which few people would now wish to master. The object of this note is to give a proof using the methods of [2].

2

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Everywhere divergent Fourier series

38%

Körner T. W.

Colloquium Mathematicum

|

1981

|

tom 45

|

nr 1

103-118

3

Devil's staircases, ramps, humps and roller coasters

38%

Körner T. W.

Colloquium Mathematicum

|

1990

|

tom 60-61

|

nr 1

1-14

4

A cheaper Swiss cheese

23%

Körner T. W.

Studia Mathematica

|

1986

|

tom 83

|

nr 1

37-45

Ograniczanie wyników

3 Colloquium Mathematicum

1 Studia Mathematica

4 Körner T. W.

1 1991

1 1990

1 1986

1 1981

A Helson set of uniqueness but not of synthesis

Everywhere divergent Fourier series

Devil's staircases, ramps, humps and roller coasters

A cheaper Swiss cheese