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008    150223s2012    riua    ob    001 0 eng   
020    9780821890356 (online) 
040    DLC|cDLC|dDLC|dRPAM 
050 00 QA351|b.P29 2012 
082 00 512.7/3|223 
100 1  Paycha, Sylvie 
245 10 Regularised integrals, sums, and traces :|h[electronic 
       resource] |ban analytic point of view /|cSylvie Paycha 
260    Providence, R.I. :|bAmerican Mathematical Society,|cc2012 
300    1 online resource (x, 190 p. : ill.) 
490 0  University Lecture Series, |x1047-3998 (print); |vv. 59 
504    Includes bibliographical references (p. 183-187) and index
505 00 |tChapter 1. The Gamma function extended to nonpositive 
       integer points|tChapter 2. The canonical integral and 
       noncommutative residue on symbols|tChapter 3. The cut-off 
       regularised integral|tChapter 4. The noncommutative 
       residue as a complex residue|tChapter 5. The canonical sum
       on noninteger order classical symbols|tChapter 6. Traces 
       on pseudodifferential operators|tChapter 7. Weighted 
       traces|tChapter 8. Logarithmic residues|tChapter 9. 
       Anomalies of regularised determinants 
506 1  Access is restricted to licensed institutions 
533    Electronic reproduction.|bProvidence, Rhode Island :
       |cAmerican Mathematical Society.|d2012 
538    Mode of access : World Wide Web 
588    Description based on print version record 
650  0 Functions, Zeta 
650  0 L-functions 
650  0 Convergence 
650  0 Integrals 
650  7 Number theory -- Zeta and $L$-functions: analytic theory -
       - $\zeta (s)$ and $L(s, \chi)$.|2msc 
650  7 Sequences, series, summability -- Convergence and 
       divergence of infinite limiting processes -- Convergence 
       and divergence of integrals.|2msc 
650  7 Operator theory -- Linear spaces and algebras of operators
       -- Algebras of specific types of operators (Toeplitz, 
       integral, pseudodifferential, etc.).|2msc 
650  7 Quantum theory -- Quantum field theory; related classical 
       field theories -- Anomalies.|2msc 
650  7 Numerical analysis -- Acceleration of convergence -- Euler
       -Maclaurin formula.|2msc 
776 0  |iPrint version: |aPaycha, Sylvie.|tRegularised integrals,
       sums, and traces :|w(DLC)   2012010029|x1047-3998
       |z9780821853672 
856 4  |3Contents|uhttp://www.ams.org/ulect/059 
856 4  |3Contents|uhttp://dx.doi.org/10.1090/ulect/059