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- W2470880174 abstract "In this chapter we shall continue our study of the theory of convolution equations and its applications to abstract kinetic equations. In the first section we will outline the classical method for solving Wiener-Hopf equations on a half line. This will reduce the half space problem to a factorization problem. In the second section we shall study the connection between the semigroups developed in Chapters II and III and the solution of convolution equations corresponding to abstract kinetic equations. In this way we will obtain an alternative way of defining these projections and semigroups. In the following section we will begin a study of explicit representations of the Wiener-Hopf factors of the symbol, which is important in the derivation of representations for the solutions of the half space and the finite slab problem, to be discussed in the next chapter. In the fourth section, we present some recent results on the treatment of nonregular collision operators. Finally, in the last section, we outline the extension of the previous theory to a Banach space setting." @default.
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- W2470880174 date "1987-01-01" @default.
- W2470880174 modified "2023-09-23" @default.
- W2470880174 title "Semigroup Factorization and Reconstruction" @default.
- W2470880174 doi "https://doi.org/10.1007/978-3-0348-5478-8_7" @default.
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