On General Domain Truncated Correlation and Convolution Operators with Finite Rank
نویسندگان
چکیده
Truncated correlation and convolution operators is a general operator-class containing popular operators such as Toeplitz (WienerHopf), Hankel and nite interval convolution operators as well as small and big Hankel operators in several variables. We completely characterize the symbols for which such operators have nite rank, and develop methods for determining the rank in concrete cases. Such results are well known for the one-dimensional objects, the rst discovered by L. Kronecker during the 19th century. We show that the results for the multidimensional case di er in various key aspects. Mathematics Subject Classi cation (2010). 47B35, 15A03, 47A13, 33B10.
منابع مشابه
ON TRUNCATED WIENER-HOPF OPERATORS AND BMOpZq
whenever Φ is such that this extends to a bounded operator on Lpr0, asq. Whenever a is of no importance we will omit it from the notation. We abbreviate by saying that WΦ is a TWH-operator. These operators (or rather, unitarily equivalent ones) also go under the name finite interval convolution operators, truncated Hankel operators or Toeplitz operators on the Paley-Wiener space. See e.g. [1, 2...
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