Spectral theory and functional calculus for operators on spaces of generalized functions
✍ Scribed by W Lamb; D.F McGhee
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 874 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We show among other things that if B is a Banach function space of continuous real-valued functions vanishing at infinity on a locally compact Hausdorff space X, with the property that for some odd natural number p>1, b 1Â p # B for all b # B, then B=C 0 (X ).
## Communicated by W. Sproljig We present a Riesz-like hyperholomorphic functional calculus for a set of non-commuting operators based on Clifford analysis. Applications to the quantum field theory are described.
The existence of a unique 71 x n matrix spectral function is shown for a selfadjoint operator A in a Hilbert space Lg(m). This Hilbert space is a subspace of the product of spaces L2(rn;) with measures rn,, i = 1 , . . . , n , having support i n [O,m). The inner product in Li(m) is the weighted sum
## Abstract This paper is devoted to the study on the __L^p^__ ‐mapping properties for certain singular integral operators with rough kernels and related Littlewood–Paley functions along “polynomial curves” on product spaces ℝ^__m__^ × ℝ^__n__^ (__m__ ≥ 2, __n__ ≥ 2). By means of the method of bl