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Hille, Einar & Ralph S. Phillips. - Functional analysis and semi-groups.
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| Schrijver: | Hille, Einar & Ralph S. Phillips. |
|---|---|
| Titel: | Functional analysis and semi-groups. |
| ISBN: | |
| Uitgever: | Providence, RI : American Mathematical Society, 1957. Orig. cloth binding. xii,808,[2] pp. 26 cm. (American Mathematical Society Colloquium publications, 31). Binding sl. spotted. Conditie: goed |
| Bijzonderheid: | Conditie: goed. MATHEMATICS |
| Prijs: |
€ 20,00
€ 5,50
|
| Meer info | - First edition, published in 1957, it has become a key reference in the field of functional analysis, particularly in the theory of semigroups of linear operators. The book explores strongly continuous semigroups of linear operators (also known as C0-semigroups) on Banach spaces. These concepts are essential for solving evolution equations, including partial differential equations that describe time-dependent processes. One of the most important results covered in the book is the Hille-Yosida theorem, which provides necessary and sufficient conditions for a linear operator to generate a C0-semigroup. The book also discusses applications of these results in mathematical physics, differential equations, and probability theory. Since its publication, Functional Analysis and Semi-Groups has been widely recognized as a seminal work in the field. It is often cited in research on operator theory, partial differential equations, and quantum mechanics. Einar Hille (1894-1980) was a professor at Yale University. His research laid the groundwork for modern semigroup theory. Ralph S. Phillips (1913-1998) was a professor at Stanford University and made significant contributions to applied mathematics and mathematical physics. |
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