Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01sq87bw92d
 Title: On Homogeneous Distributions and Non-isotropic Dilations Authors: Sardarli, Mariya Advisors: Ionescu, Alexander Contributors: Stein, Elias Department: Mathematics Class Year: 2015 Abstract: The aim of this thesis is to provide an introduction to the relationship between homogeneous distributions and the Fourier transform. We review the properties of isotropic dilations and demonstrates how they may be extended to non-isotropic dilations (x1, . . . , xd) 7→ (a α1 x1, . . . , aαd xd) with positive exponents αj . In the last chapter we drop the positive exponent condition in the dilation and explore the dilation (x1, x2) 7→ (ax1, a−1x2). Extent: 33 pages URI: http://arks.princeton.edu/ark:/88435/dsp01sq87bw92d Type of Material: Princeton University Senior Theses Language: en_US Appears in Collections: Mathematics, 1934-2017

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