**ISBN:** 0849382734

**Author:** Robert Strichartz

**Language:** English

**Publisher:** CRC Press; 1 edition (December 31, 1993)

**Pages:** 224

**Category:** Mathematics

**Subcategory:** Science

**Rating:** 4.5

**Votes:** 173

**Size Fb2:** 1852 kb

**Size ePub:** 1107 kb

**Size Djvu:** 1124 kb

**Other formats:** txt doc lrf rtf

Distributions are objects most physicists will frequently encounter during their career, but, surprinsingly, the subject is not given the place it deserves in the current ordinary science curriculum. I would particularly recommend this book to physics students willing to learn the foundation of distribution theory and its close ties to Fourier transforms. Distribution theory is, basically speaking, a way of making rigorous the operations physicists find Ok to carry on functions, that otherwise wouldn't rigorously make sense.

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Download A Guide to Distribution Theory and Fourier Transforms (Studies in Advanced Mathematics) PDF. Steven Danaher.

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial . About the author (2003). Robert S Strichartz (Cornell University, USA). Bibliographic information.

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. The author clearly presents the ideas, precise statements of theorems, and explanations of ideas behind the proofs. Methods in which techniques are used in applications are illustrated, and many problems are included. The book also introduces several significant recent topics, including pseudodifferential operators, wave front sets, wavelets, and quasicrystals.

Start by marking A Guide To Distribution Theory And Fourier Transforms as Want to Read . This book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations

Start by marking A Guide To Distribution Theory And Fourier Transforms as Want to Read: Want to Read savin. ant to Read. This book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations. Methods in which techniques are used in applications are illustrated, and many problems are This book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its application to partial differential equations.

3 Fourier Transforms 26 . From Fourier series to Fourier integrals 26 . The Schwartz class S 29 . Chapter six returns to distribution theory, explaining the notion of continuity, and giving the important structure theorems. Chapter seven covers Fourier analysis. Properties of the Fourier transform on S 30 . The Fourier inversion formula on S 35 . The Fourier transform of a Gaussian 38 . Problems 41. 4 Fourier Transforms of Tempered Distributions 43. The definitions 43 . Examples 46 . Convolutions with tempered distributions 52 . Problems 54. v vi Contents.

162 results in Cambridge Studies in Advanced Mathematics. Relevance Title Sorted by Date

162 results in Cambridge Studies in Advanced Mathematics. Relevance Title Sorted by Date. The reader is first introduced to category theory, starting with basic definitions and concepts before progressing to more advanced themes. Concrete examples and exercises illustrate the topics, ranging from colimits to constructions such as the Day convolution product.

Studies in Advanced Mathematics. The book also introduces several significant recent topics, including pseudo-differential operators, wave front sets, wavelets, and quasicrystals.

This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier . I like this book as an introductory distribution theory book. However, if you're digging in to the subject deeply (looking for specific theorems et. you will notice that some things are missing, and some details in proofs are missing. 2 people found this helpful.

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