书目名称 | Difference Spaces and Invariant Linear Forms |
编辑 | Rodney Nillsen |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. The difference spaces of L2 (Rn) are Hilbert spaces whose functions are characterized by the behaviour of their Fourier transforms near, e.g., the origin. One aim is to establish connections between these spaces and differential operators, singular integral operators and wavelets. Another aim is to discuss aspects of these ideas which emphasise invariant linear forms on locally compact groups. The work primarily presents new results, but does so from a clear, accessible and unified viewpoint, which emphasises connections with related work. |
出版日期 | Book 1994 |
关键词 | Analysis; Differential Operators; Harmonie; Hilbert space; Invariant Linear Forms |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0073511 |
isbn_softcover | 978-3-540-58323-3 |
isbn_ebook | 978-3-540-48652-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |