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Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions
Michel L. Lapidus
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Description for Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions
Hardback. Series: Springer Monographs in Mathematics. Num Pages: 704 pages, 41 black & white illustrations, 10 colour illustrations, 8 colour tables, biography. BIC Classification: PBH; PBKL; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155. .
This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. It provides a significant extension of the existing theory of zeta functions for fractal strings to fractal sets and arbitrary bounded sets in Euclidean spaces of any dimension. Two new classes of fractal zeta functions are introduced, namely, the distance and tube zeta functions of bounded sets, and their key properties are investigated. The theory is developed step-by-step at a slow pace, and every step ... Read more
This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. It provides a significant extension of the existing theory of zeta functions for fractal strings to fractal sets and arbitrary bounded sets in Euclidean spaces of any dimension. Two new classes of fractal zeta functions are introduced, namely, the distance and tube zeta functions of bounded sets, and their key properties are investigated. The theory is developed step-by-step at a slow pace, and every step ... Read more
Product Details
Publisher
Springer International Publishing AG
Format
Hardback
Publication date
2017
Series
Springer Monographs in Mathematics
Condition
New
Weight
28g
Number of Pages
655
Place of Publication
Cham, Switzerland
ISBN
9783319447049
SKU
V9783319447049
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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