# Some remarks on restriction of the Fourier tranform for general measures.

Publicacions Matemàtiques (1999)

- Volume: 43, Issue: 2, page 655-664
- ISSN: 0214-1493

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topSjölin, Per, and Soria, Fernando. "Some remarks on restriction of the Fourier tranform for general measures.." Publicacions Matemàtiques 43.2 (1999): 655-664. <http://eudml.org/doc/41379>.

@article{Sjölin1999,

abstract = {In this paper we establish a formal connection between the average decay of the Fourier transform of functions with respect to a given measure and the Hausdorff behavior of that measure. We also present a generalization of the classical restriction theorem of Stein and Tomas replacing the sphere with sets of prefixed Hausdorff dimension n - 1 + α, with 0 < α < 1.},

author = {Sjölin, Per, Soria, Fernando},

journal = {Publicacions Matemàtiques},

keywords = {Transformada de Fourier; Teoría de la medida; measure; Fourier transform; average decay; restriction theorem; Hausdorff dimension},

language = {eng},

number = {2},

pages = {655-664},

title = {Some remarks on restriction of the Fourier tranform for general measures.},

url = {http://eudml.org/doc/41379},

volume = {43},

year = {1999},

}

TY - JOUR

AU - Sjölin, Per

AU - Soria, Fernando

TI - Some remarks on restriction of the Fourier tranform for general measures.

JO - Publicacions Matemàtiques

PY - 1999

VL - 43

IS - 2

SP - 655

EP - 664

AB - In this paper we establish a formal connection between the average decay of the Fourier transform of functions with respect to a given measure and the Hausdorff behavior of that measure. We also present a generalization of the classical restriction theorem of Stein and Tomas replacing the sphere with sets of prefixed Hausdorff dimension n - 1 + α, with 0 < α < 1.

LA - eng

KW - Transformada de Fourier; Teoría de la medida; measure; Fourier transform; average decay; restriction theorem; Hausdorff dimension

UR - http://eudml.org/doc/41379

ER -

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