A Generalized Polar-Coordinate Integration Formula with Applications to the Study of Convolution Powers of Complex-Valued Functions on $${\mathbb {Z}}^d$$ Z d

Abstract In this article, we consider a class of functions on $${\mathbb {R}}^d$$ R d , called positive homogeneous functions, which interact well with certain continuous one-parameter groups of (generally anisotropic) dilations. Generalizing the Euclidean norm, positive homogeneous functions appear...

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Bibliographic Details
Main Authors: Bui, Huan Q. (Author), Randles, Evan (Author)
Format: Article
Language:English
Published: Springer US, 2022-03-07T13:27:11Z.
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