The Theory of Ultraspherical Multipliers is popular PDF and ePub book, written by William Carroll Connett in 1977, it is a fantastic choice for those who relish reading online the Besov spaces genre. Let's immerse ourselves in this engaging Besov spaces book by exploring the summary and details provided below. Remember, The Theory of Ultraspherical Multipliers can be Read Online from any device for your convenience.
The Theory of Ultraspherical Multipliers Book PDF Summary
Many multiplier theorems of Fourier analysis have analogs for ultraspherical expansions. But what was a single theorem in the Fourier setting becomes an entire family of theorems in this more general setting. The problem solved in this paper is that of organizing the children of the Fourier theorems, and many new theorems besides, into a coherent theory. The most critical step in this organization is identifying a family of Banach spaces which include the sequences described in the classical multiplier theorems as special cases. Once this family is found, the next step is to develop the methods of interpolation necessary to show that this family forms a scale of spaces--in the sense that if two spaces in the family act as multipliers on L[superscript]p, then all spaces "between" these two spaces act as multipliers on L[superscript]p.
Detail Book of The Theory of Ultraspherical Multipliers PDF
- Author : William Carroll Connett
- Release : 21 September 1977
- Publisher : American Mathematical Soc.
- ISBN : 9780821821831
- Genre : Besov spaces
- Total Page : 100 pages
- Language : English
- PDF File Size : 11,9 Mb
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