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1

A reducibility problem for the classical residue formula

100%

Lyubich Y.

Banach Center Publications

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2007

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tom 75

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nr 1

316-317

2

Axiomatic theory of divergent series and cohomological equations

100%

Lyubich Y.

Fundamenta Mathematicae

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2008

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tom 198

|

nr 3

263-282

EN

A general theory of summation of divergent series based on the Hardy-Kolmogorov axioms is developed. A class of functional series is investigated by means of ergodic theory. The results are formulated in terms of solvability of some cohomological equations, all solutions to which are nonmeasurable. In particular, this realizes a construction of a nonmeasurable function as first conjectured by Kolmogorov.

3

Polynomial functions on the classical projective spaces

63%

Lyubich Y., Shatalova O.

Studia Mathematica

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2005

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tom 170

|

nr 1

77-87

EN

The polynomial functions on a projective space over a field 𝕂 = ℝ, ℂ or ℍ come from the corresponding sphere via the Hopf fibration. The main theorem states that every polynomial function ϕ(x) of degree d is a linear combination of "elementary" functions $|⟨x,·⟩|^{d}$.

Ograniczanie wyników

1 Banach Center Publications

1 Fundamenta Mathematicae

1 Studia Mathematica

3 Lyubich Y.

1 Shatalova O.

1 2008

1 2007

1 2005

A reducibility problem for the classical residue formula

Axiomatic theory of divergent series and cohomological equations

Polynomial functions on the classical projective spaces