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Catalogue Information
Field name	Details
Dewey Class	515.7242 (DDC 22)
Title	Traces and determinants of pseudodifferential operators ([Ebook]) / Simon Scott.
Author	Scott, Simon (Simon Gareth)
Other name(s)	Oxford Scholarship Online
Publication	Oxford : Oxford University Press , 2011
Physical Details	1 online resource
Series	Oxford mathematical monographs
ISBN	9780191594748
Note	Print publication date: 2010. - Published to Oxford Scholarship Online: January 2011
Summary Note	This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant functionals on geometric operator algebras provide a means of constructing refined invariants in analysis, topology, differential geometry, analytic number theory and QFT. The consequent interactions around such invariants have led to significant advances both in pure mathematics and theoretical physics. As the fundamental tools of trace theory have become well understood and clear general structures have emerged, so the need for specialist texts which explain the basic theoretical principles and the computational techniques has become increasingly exigent. This text is the first to deal with the general theory of traces and determinants of operators on manifolds in a broad context, encompassing a number of the principle applications and backed up by specific computations which set out in detail to newcomers the nuts-and-bolts of the basic theory. Both the microanalytic approach to traces and determinants via pseudodifferential operator theory and the more computational approach directed by applications in geometric analysis, are developed in a general framework that will be of interest to mathematicians and physicists in a number of different fields.:
Mode of acces to digital resource	Digital reproduction. Oxford : Oxford University Press, 2011. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher)
System details note	Online access is restricted to subscribing institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1093/acprof:oso/9780198568360.001.0001
Links to Related Works	Subject References: Elliptic operators . Pseudodifferential operators . Authors: Scott, Simon (Simon Gareth) . Corporate Authors: Oxford Scholarship Online . Series: Oxford mathematical monographs . Classification: 515.7242 (DDC 22) .

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Traces and determinants of pseudodifferential operators

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