Notes on some of Kahane's works: Ingham type theorems and Bernoulli convolutions

K. Dajani; Vilmos Komornik; Paola Loreti

doi:10.1007/s10476-018-0206-0

Notes on some of Kahane's works: Ingham type theorems and Bernoulli convolutions

K. Dajani, Vilmos Komornik, Paola Loreti

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We discuss the optimality of Kahane’s multidimensional Ingham
type theorem and we establish a relationship between the absolute continuity of
Bernoulli convolutions and some results on expansions in non-integer bases.

Original language	English
Pages (from-to)	207-217
Number of pages	11
Journal	Analysis Mathematica
Volume	44
Issue number	2
DOIs	https://doi.org/10.1007/s10476-018-0206-0
Publication status	Published - Jun 2018

Keywords

Bernoulli convolution
expansion in non-integer bases

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title = "Notes on some of Kahane's works: Ingham type theorems and Bernoulli convolutions",

abstract = "We discuss the optimality of Kahane{\textquoteright}s multidimensional Inghamtype theorem and we establish a relationship between the absolute continuity ofBernoulli convolutions and some results on expansions in non-integer bases.",

keywords = "Bernoulli convolution, expansion in non-integer bases",

author = "K. Dajani and Vilmos Komornik and Paola Loreti",

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doi = "10.1007/s10476-018-0206-0",

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AU - Dajani, K.

AU - Komornik, Vilmos

AU - Loreti, Paola

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Y1 - 2018/6

N2 - We discuss the optimality of Kahane’s multidimensional Inghamtype theorem and we establish a relationship between the absolute continuity ofBernoulli convolutions and some results on expansions in non-integer bases.

AB - We discuss the optimality of Kahane’s multidimensional Inghamtype theorem and we establish a relationship between the absolute continuity ofBernoulli convolutions and some results on expansions in non-integer bases.

KW - Bernoulli convolution

KW - expansion in non-integer bases

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DO - 10.1007/s10476-018-0206-0

M3 - Article

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VL - 44

SP - 207

EP - 217

JO - Analysis Mathematica

JF - Analysis Mathematica

IS - 2

ER -

Notes on some of Kahane's works: Ingham type theorems and Bernoulli convolutions

Abstract

Keywords

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