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Harmonic Analysis on Spaces of Homogeneous Type / by Donggao Deng, Yongsheng Han.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Deng, Dong-Gao, 1935- author.
- Han, Yongsheng, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1966.
- Lecture Notes in Mathematics, 0075-8434 ; 1966
- Language:
- English
- Subjects (All):
- Functions of complex variables.
- Global analysis (Mathematics).
- Fourier analysis.
- Harmonic analysis.
- Functional analysis.
- Mathematics.
- Functions of a Complex Variable.
- Analysis.
- Fourier Analysis.
- Abstract Harmonic Analysis.
- Functional Analysis.
- Approximations and Expansions.
- Local Subjects:
- Functions of a Complex Variable.
- Analysis.
- Fourier Analysis.
- Abstract Harmonic Analysis.
- Functional Analysis.
- Approximations and Expansions.
- Physical Description:
- 1 online resource (XII, 160 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
- System Details:
- text file PDF
- Summary:
- The dramatic changes that came about in analysis during the twentieth century are truly amazing. In the thirties, complex methods and Fourier series played a seminal role. After many improvements, mostly achieved by the Calderón-Zygmund school, the action today is taking place in spaces of homogeneous type. No group structure is available and the Fourier transform is missing, but a version of harmonic analysis is still available. Indeed the geometry is conducting the analysis. The authors succeed in generalizing the construction of wavelet bases to spaces of homogeneous type. However wavelet bases are replaced by frames, which in many applications serve the same purpose.
- Contents:
- Calde?on-Zygmund Operator on Space of Homogeneous Type
- The Boundedness of Calderón-Zygmund Operators on Wavelet Spaces
- Wavelet Expansions on Spaces of Homogeneous Type
- Wavelets and Spaces of Functions and Distributions
- Littlewood-Paley Analysis on Non Homogeneous Spaces.
- Other Format:
- Printed edition:
- ISBN:
- 9783540887454
- Access Restriction:
- Restricted for use by site license.
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