001463529 000__ 03739cam\a22006377a\4500
001463529 001__ 1463529
001463529 003__ OCoLC
001463529 005__ 20230601003325.0
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001463529 008__ 230428s2023\\\\sz\\\\\\ob\\\\001\0\eng\d
001463529 019__ $$a1377816879
001463529 020__ $$a9783031274510$$q(electronic bk.)
001463529 020__ $$a3031274512$$q(electronic bk.)
001463529 020__ $$z3031274504
001463529 020__ $$z9783031274503
001463529 0247_ $$a10.1007/978-3-031-27451-0$$2doi
001463529 035__ $$aSP(OCoLC)1377563682
001463529 040__ $$aYDX$$beng$$cYDX$$dGW5XE$$dEBLCP
001463529 049__ $$aISEA
001463529 050_4 $$aQA353.K47
001463529 08204 $$a515/.9$$223/eng/20230504
001463529 1001_ $$aAvramidi, Ivan G.,$$d1957-$$eauthor.
001463529 24510 $$aHeat kernel on lie groups and maximally symmetric spaces /$$cIvan G. Avramidi.
001463529 260__ $$aCham, Switzerland :$$bBirkhäuser,$$c2023.
001463529 300__ $$a1 online resource
001463529 336__ $$atext$$btxt$$2rdacontent
001463529 337__ $$acomputer$$bc$$2rdamedia
001463529 338__ $$aonline resource$$bcr$$2rdacarrier
001463529 4901_ $$aFrontiers in Mathematics Series
001463529 504__ $$aIncludes bibliographical references and index.
001463529 5050_ $$aPart I. Manifolds -- Chapter. 1. Introduction -- Chapter. 2. Geometry of Simple Groups -- Chapter. 3. Geometry of SU(2) -- Chapter. 4. Maximally Symmetric Spaces -- Chapter. 5. Three-dimensional Maximally Symmetric Spaces -- Part II: Heat Kernel -- Chapter. 6. Scalar Heat Kernel -- Chapter. 7. Spinor Heat Kernel -- Chapter. 8. Heat Kernel in Two Dimensions -- Chapter. 9. Heat Kernel on S3 and H3 -- Chapter. 10. Algebraic Method for the Heat Kernel -- Appendix A -- References -- Index.
001463529 506__ $$aAccess limited to authorized users.
001463529 520__ $$aThis monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form and derives them for the heat kernel on spheres and hyperbolic spaces. Part I considers the geometry of simple Lie groups and maximally symmetric spaces in detail, and Part II discusses the calculation of the heat kernel for scalar, spinor, and generic Laplacians on spheres and hyperbolic spaces in various dimensions. This text will be a valuable resource for researchers and graduate students working in various areas of mathematics such as global analysis, spectral geometry, stochastic processes, and financial mathematics as well in areas of mathematical and theoretical physics including quantum field theory, quantum gravity, string theory, and statistical physics.
001463529 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed May 4, 2023).
001463529 650_0 $$aKernel functions.
001463529 650_0 $$aHeat equation.
001463529 650_0 $$aLie groups.
001463529 650_0 $$aSymmetric spaces.
001463529 655_0 $$aElectronic books.
001463529 77608 $$iPrint version: $$z3031274504$$z9783031274503$$w(OCoLC)1369366210
001463529 830_0 $$aFrontiers in Mathematics Series.
001463529 852__ $$bebk
001463529 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-27451-0$$zOnline Access$$91397441.1
001463529 909CO $$ooai:library.usi.edu:1463529$$pGLOBAL_SET
001463529 980__ $$aBIB
001463529 980__ $$aEBOOK
001463529 982__ $$aEbook
001463529 983__ $$aOnline
001463529 994__ $$a92$$bISE