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Author Paycha, Sylvie
Title Regularised integrals, sums, and traces : [electronic resource] an analytic point of view / Sylvie Paycha
Imprint Providence, R.I. : American Mathematical Society, c2012
book jacket
Descript 1 online resource (x, 190 p. : ill.)
Series University Lecture Series, 1047-3998 (print); v. 59
Note Includes bibliographical references (p. 183-187) and index
Chapter 1. The Gamma function extended to nonpositive integer points Chapter 2. The canonical integral and noncommutative residue on symbols Chapter 3. The cut-off regularised integral Chapter 4. The noncommutative residue as a complex residue Chapter 5. The canonical sum on noninteger order classical symbols Chapter 6. Traces on pseudodifferential operators Chapter 7. Weighted traces Chapter 8. Logarithmic residues Chapter 9. Anomalies of regularised determinants
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
Description based on print version record
Link Print version: Paycha, Sylvie. Regularised integrals, sums, and traces : (DLC) 2012010029 1047-3998 9780821853672
Subject Functions, Zeta
L-functions
Convergence
Integrals
Number theory -- Zeta and $L$-functions: analytic theory -- $\zeta (s)$ and $L(s, \chi)$. msc
Sequences, series, summability -- Convergence and divergence of infinite limiting processes -- Convergence and divergence of integrals. msc
Operator theory -- Linear spaces and algebras of operators -- Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.). msc
Quantum theory -- Quantum field theory; related classical field theories -- Anomalies. msc
Numerical analysis -- Acceleration of convergence -- Euler-Maclaurin formula. msc
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