Wyniki wyszukiwania

1

Representations of Jordan algebras and special functions

100%

Travaglini G.

Colloquium Mathematicum

|

1991

|

tom 62

|

nr 2

257-266

EN

This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.

2

Polyhedral summability of multiple Fourier series (and explicit formulas for Dirichlet kernels on $𝕋^n$ and on compact Lie groups)

100%

Travaglini G.

Colloquium Mathematicum

|

1993

|

tom 65

|

nr 1

103-116

EN

We study polyhedral Dirichlet kernels on the n-dimensional torus and we write a fairly simple formula which extends the one-dimensional identity $∑_{j=-N}^N e^{ijt} = sin((N+(1/2))t) / sin((1/2)t)$. We prove sharp results for the Lebesgue constants and for the pointwise boundedness of polyhedral Dirichlet kernels; we apply our results and methods to approximation theory, to more general summability methods and to Fourier series on compact Lie groups, where we write an asymptotic formula for the Dirichlet kernels.

3

An L¹ estimate for half-space discrepancy

64%

Chen W., Travaglini G.

Acta Arithmetica

|

2011

|

tom 146

|

nr 3

203-214

4

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Hardy-Lorentz spaces and expansions in eigenfunctions of the Laplace-Beltrami operator on compact manifolds

63%

Colzani L., Travaglini G.

Colloquium Mathematicum

|

1989-1990

|

tom 58

|

nr 2

305-315

5

Pointwise convergence of Fourier series on compact Lie groups

51%

Colzani L., Giulini S., Travaglini G., Vignati M.

Colloquium Mathematicum

|

1990

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tom 60-61

|

nr 2

379-386

6

On sets of completely uniform convergence

45%

Soardi P. M., Travaglini G.

Colloquium Mathematicum

|

1981

|

tom 45

|

nr 2

317-320

7

Rearrangement of coefficients of Fourier series on $SU_2$

44%

Travaglini G.

Colloquium Mathematicum

|

1987

|

tom 51

|

nr 1

373-377

Ograniczanie wyników

6 Colloquium Mathematicum

1 Acta Arithmetica

7 Travaglini G.

2 Colzani L.

1 Chen W.

1 Giulini S.

1 Soardi P. M.

1 Vignati M.

1 2011

1 1993

1 1991

2 1990

1 1987

1 1981

Representations of Jordan algebras and special functions

Polyhedral summability of multiple Fourier series (and explicit formulas for Dirichlet kernels on $𝕋^n$ and on compact Lie groups)

An L¹ estimate for half-space discrepancy

Hardy-Lorentz spaces and expansions in eigenfunctions of the Laplace-Beltrami operator on compact manifolds

Pointwise convergence of Fourier series on compact Lie groups

On sets of completely uniform convergence

Rearrangement of coefficients of Fourier series on $SU_2$