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- W4242090570 abstract "The tensor product of distributions is a very important tool in the analysis of distributions. We will use it mainly in the definition of the convolution for distributions which in turn has many important applications, some of which we will discuss in later chapters (approximation of distributions by smooth functions, analysis of partial differential operators with constant coefficients). The tensor product for distributions is naturally based on the tensor product of the underlying test function spaces and their completions. Accordingly we start by developing the theory of tensor products of test function spaces to the extent which is needed later. The following section gives the definition and the main properties of the tensor product for distributions. We assume that the reader is familiar with the definition of the algebraic tensor product of general vector spaces. A short reminder is given in Section 17.2." @default.
- W4242090570 created "2022-05-12" @default.
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- W4242090570 date "2003-01-01" @default.
- W4242090570 modified "2023-09-26" @default.
- W4242090570 title "Tensor Products" @default.
- W4242090570 doi "https://doi.org/10.1007/978-1-4612-0049-9_6" @default.
- W4242090570 hasPublicationYear "2003" @default.
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