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Regularised integrals, sums, and traces : an analytic point of view / Sylvie Paycha.
Math/Physics/Astronomy Library QA351 .P29 2012
Available
- Format:
- Book
- Author/Creator:
- Paycha, Sylvie.
- Series:
- University lecture series (Providence, R.I.) ; 59.
- University lecture series ; v. 59
- Language:
- English
- Subjects (All):
- Functions, Zeta.
- L-functions.
- Convergence.
- Integrals.
- Physical Description:
- x, 190 pages : illustrations ; 26 cm.
- Place of Publication:
- Providence, R.I. : American Mathematical Society, [2012]
- Summary:
- Paycha seeks to clarify some aspects of regularization techniques, which are used to make sense of divergent integrals, discrete sums, or traces. There is nothing groundbreaking here, she says, just a unified perspective based on pedestrian proofs on results scattered in the physics and mathematics literature. Among her topics are the gamma function extended to non-positive integer points, the non-commutative residue as a complex residue, the canonical sum on non-integer order classical symbols, weighted traces, and anomalies of regularized determinants. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 9780821853672
- 0821853678
- OCLC:
- 784708308
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