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作者 Lapidus, Michel L. (Michel Laurent), 1956-
書名 Fractal geometry, complex dimensions and zeta functions : geometry and spectra of fractal strings / Michel L. Lapidus, Machiel van Frankenhuijsen
出版項 New York : Springer, c2013
國際標準書號 1461421756
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA614.86 L37 2013    在架上    30340200529257
版本 2nd ed
說明 xxv, 567 p. : ill. ; 25 cm
系列 Springer monographs in mathematics
Springer monographs in mathematics
附註 Includes bibliographical references (p. 515-547) and index
1. Complex dimensions of ordinary fractal strings -- 2. Complex dimensions of self-similar fractal strings -- 3. Complex dimensions of nonlattice self-similar strings -- 4. Generalized fractal strings viewed as measures -- 5. Explicit formulas for generalized fractal strings -- 6. The geometry and the spectrum of fractal strings -- 7. Periodic orbits of self-similar flows -- 8. Fractal tube formulas -- 9. Riemann hypothesis and inverse spectral problems -- 10. Generalized cantor strings and their oscillations -- 11. Critical zeros of zeta functions -- 12. Fractality and complex dimensions -- 13. New results and perspectives -- A. Zeta functions in number theory -- B. Zeta functions of Laplacians and spectral asymptotics -- C. An applicaiton of Nevanlina theory
主題 Fractals
Functions, Zeta
Geometry, Riemannian
Alt Author Van Frankenhuysen, Machiel, 1967-
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