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Titlebook: Decay of the Fourier Transform; Analytic and Geometr Alex Iosevich,Elijah Liflyand Book 2014 Springer Basel 2014 Fourier transform.bounded

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書目名稱Decay of the Fourier Transform
副標(biāo)題Analytic and Geometr
編輯Alex Iosevich,Elijah Liflyand
視頻videohttp://file.papertrans.cn/265/264111/264111.mp4
概述Only book where the decay rate of the Fourier transform is the dominant theme.Systematic examination of the concepts.Focus on interaction between the analytic and geometric approaches of Fourier theor
圖書封面Titlebook: Decay of the Fourier Transform; Analytic and Geometr Alex Iosevich,Elijah Liflyand Book 2014 Springer Basel 2014 Fourier transform.bounded
描述The Plancherel formula says that the .L.^2 norm of the function is equal to the .L.^2 norm of its Fourier transform. This implies that at least on average, the Fourier transform of an .L.^2 function decays at infinity. This book is dedicated to the study of the rate of this decay under various assumptions and circumstances, far beyond the original .L.^2 setting. Analytic and geometric properties of the underlying functions interact in a seamless symbiosis which underlines the wide range influences and applications of the concepts under consideration.?
出版日期Book 2014
關(guān)鍵詞Fourier transform; bounded variation; curvature; decay rate; spherical average
版次1
doihttps://doi.org/10.1007/978-3-0348-0625-1
isbn_ebook978-3-0348-0625-1
copyrightSpringer Basel 2014
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überlegungen zur Resilienz des RechtsThe method of stationary phase is the term typically applied to study of the integrals of the form . by studying properties of derivatives of the real or complex-valued phase function G(x) on the support of the cut-off .
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?Die Scham darüber, überhaupt zu sein“Let B be a bounded open set in ?.. As we note in the introduction, it is a consequence of the classical method of stationary phase that if . is sufficiently smooth and has everywhere non-vanishing Gaussian curvature, then .with constants independent of ω
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Basic Properties of the Fourier TransformIn this chapter we define the Fourier transform and describe its basic properties. Since this part of the book is quite standard, we go through the material quickly with an eye on developments in the subsequent chapters.
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