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Harmonic analysis and fractal analysis over local fields and applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Harmonic analysis and fractal analysis over local fields and applications/ Weiyi Su.
作者:	Su, Weiyi.
出版者:	Singapore :World Scientific, : c2018.,
面頁冊數:	1 online resource (331 p.) :ill. (some col.) :
附註:	"This work is originally published by Science Press in 2011."--Copyright page.
標題:	Fractal analysis. -
電子資源:	https://www.worldscientific.com/worldscibooks/10.1142/10292#t=toc
ISBN:	9789813200517

Harmonic analysis and fractal analysis over local fields and applications
Su, Weiyi.

Harmonic analysis and fractal analysis over local fields and applications[electronic resource] /Weiyi Su. - Singapore :World Scientific,c2018. - 1 online resource (331 p.) :ill. (some col.)

"This work is originally published by Science Press in 2011."--Copyright page.

Includes bibliographical references and index.

"This book is a monograph on harmonic analysis and fractal analysis over local fields. It can also be used as lecture notes/textbook or as recommended reading for courses on modern harmonic and fractal analysis. It is as reliable as Fourier Analysis on Local Fields published in 1975 which is regarded as the first monograph in this research field. The book is self-contained, with wide scope and deep knowledge, taking modern mathematics (such as modern algebra, point set topology, functional analysis, distribution theory, and so on) as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques. Overall, it is a high quality, up to date and valuable book for interested readers."--Publisher's website.

Electronic reproduction.
Singapore :
World Scientific,
[2017]

Mode of access: World Wide Web.

ISBN: 9789813200517

LCCN: 2016052212Subjects--Topical Terms:

1020459
Fractal analysis.

LC Class. No.: QA247 / .S87 2018

Dewey Class. No.: 512.7

Harmonic analysis and fractal analysis over local fields and applications
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245 1 0 $a Harmonic analysis and fractal analysis over local fields and applications $h [electronic resource] / $c Weiyi Su.
260 $a Singapore : $b World Scientific, $c c2018.
300 $a 1 online resource (331 p.) : $b ill. (some col.)
500 $a "This work is originally published by Science Press in 2011."--Copyright page.
504 $a Includes bibliographical references and index.
520 $a "This book is a monograph on harmonic analysis and fractal analysis over local fields. It can also be used as lecture notes/textbook or as recommended reading for courses on modern harmonic and fractal analysis. It is as reliable as Fourier Analysis on Local Fields published in 1975 which is regarded as the first monograph in this research field. The book is self-contained, with wide scope and deep knowledge, taking modern mathematics (such as modern algebra, point set topology, functional analysis, distribution theory, and so on) as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques. Overall, it is a high quality, up to date and valuable book for interested readers."--Publisher's website.
533 $a Electronic reproduction. $b Singapore : $c World Scientific, $d [2017]
538 $a Mode of access: World Wide Web.
588 $a Description based on print version record.
650 0 $a Fractal analysis. $3 1020459
650 0 $a Harmonic analysis. $3 672073
650 0 $a Algebraic fields. $3 672441
650 0 $a Local fields (Algebra) $3 1421300
856 4 0 $u https://www.worldscientific.com/worldscibooks/10.1142/10292#t=toc