Michel L. Lapidus – författare
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20 produkter
Feynman's Operational Calculus and Beyond
Noncommutativity and Time-Ordering
Av Lance Nielsen, Michel L. Lapidus m. fl.
E-bok, 2015
1302 kr
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This book is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman''s operational calculus for noncommuting operators. Although it is inspired by Feynman''s original heuristic suggestions and time-ordering rules in his seminal 1951 paper An …
Feynman's Operational Calculus and Beyond
Noncommutativity and Time-Ordering
Av Lance Nielsen, Michel L. Lapidus m. fl.
E-bok, 2015
1302 kr
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This book is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman''s operational calculus for noncommuting operators. Although it is inspired by Feynman''s original heuristic suggestions and time-ordering rules in his seminal 1951 paper An …
Feynman's Operational Calculus and Beyond
Noncommutativity and Time-Ordering
Av Gerald W Johnson, Michel L. Lapidus m. fl.
Inbunden, 2015
2031 kr
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This book is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman's operational calculus for noncommuting operators. Although it is inspired by Feynman's original heuristic suggestions and time-ordering rules in his seminal 1951 paper An …
Fractal Geometry, Complex Dimensions and Zeta Functions
Geometry and Spectra of Fractal Strings
Av Machiel van Frankenhuijsen, Michel L. Lapidus
E-bok, 2007
994 kr
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Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key Features: - The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating …
Fractal Geometry and Number Theory
Complex Dimensions of Fractal Strings and Zeros of Zeta Functions
Av Michel L. Lapidus, Machiel van Frankenhuysen
Inbunden, 1999
551 kr
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A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo- metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher …
In Search of the Riemann Zeros
Strings, Fractal Membranes, and Noncommutative Spacetimes
Inbunden, 2008
1137 kr
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Formulated in 1859, the Riemann Hypothesis is the most celebrated and multifaceted open problem in mathematics. In essence, it states that the primes are distributed as harmoniously as possible--or, equivalently, that the Riemann zeros are located on a single vertical line, called the critical line.
Fractal Geometry and Number Theory
Complex Dimensions of Fractal Strings and Zeros of Zeta Functions
Av Machiel van Frankenhuysen, Michel L. Lapidus
E-bok, 2013
734 kr
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Fractal Geometry and Number Theory
Complex Dimensions of Fractal Strings and Zeros of Zeta Functions
Av Michel L. Lapidus, Machiel van Frankenhuysen
Häftad, 2012
551 kr
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A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo- metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher …
Fractal Geometry, Complex Dimensions and Zeta Functions
Geometry and Spectra of Fractal Strings
Av Michel L. Lapidus, Machiel van Frankenhuijsen
Inbunden, 2012
1530 kr
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Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.Key Features of this Second Edition:The Riemann hypothesis is given a natural geometric reformulation in the …
Fractal Geometry, Complex Dimensions and Zeta Functions
Geometry and Spectra of Fractal Strings
Av Machiel van Frankenhuijsen, Michel L. Lapidus
E-bok, 2012
1948 kr
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Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key Features of this Second Edition: The Riemann hypothesis is given a natural geometric reformulation in the …
Invitation to Fractal Geometry
Fractal Dimensions, Self-Similarity, and Fractal Curves
Av Michel L. Lapidus, Goran Radunovic
Inbunden, 2025
1625 kr
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This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequisites beyond a solid foundation in undergraduate …
Invitation to Fractal Geometry
Fractal Dimensions, Self-Similarity, and Fractal Curves
Av Michel L. Lapidus, Goran Radunovic
Häftad, 2025
1067 kr
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This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Targeting undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequisites beyond a solid foundation in undergraduate …
Fractal Geometry, Complex Dimensions and Zeta Functions
Geometry and Spectra of Fractal Strings
Av Michel L. Lapidus, Machiel van Frankenhuijsen
Häftad, 2014
1530 kr
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Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.Key Features of this Second Edition:The Riemann hypothesis is given a natural geometric reformulation in the …
Progress in Inverse Spectral Geometry
Av Michel L. Lapidus, Stig I. Andersson
E-bok, 2012
734 kr
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Progress in Inverse Spectral Geometry
Av Stig I. Andersson, Michel L. Lapidus
Häftad, 2012
551 kr
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most polynomial growth on every half-space Re (z) ::::: c. Moreover, Op(t) depends holomorphically on t for Re t > O. General references for much of the material on the derivation of spectral functions, asymptotic expansions and analytic properties of spectral functions are [A-P-S] and [Sh], …
Fractal Zeta Functions and Fractal Drums
Higher-Dimensional Theory of Complex Dimensions
Av Michel L. Lapidus, Goran Radunović m. fl.
Inbunden, 2017
1003 kr
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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 …
Fractal Zeta Functions and Fractal Drums
Higher-Dimensional Theory of Complex Dimensions
Av Darko Zubrinic, Goran Radunovic m. fl.
E-bok, 2017
2111 kr
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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 …
Fractal Zeta Functions and Fractal Drums
Higher-Dimensional Theory of Complex Dimensions
Av Michel L. Lapidus, Goran Radunović m. fl.
Häftad, 2018
1025 kr
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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 …
Progress in Inverse Spectral Geometry
Av Stig I. Andersson, Michel L. Lapidus
Inbunden, 1997
551 kr
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most polynomial growth on every half-space Re (z) ::::: c. Moreover, Op(t) depends holomorphically on t for Re t > O. General references for much of the material on the derivation of spectral functions, asymptotic expansions and analytic properties of spectral functions are [A-P-S] and [Sh], …
QUANTIZED NUMBER THEORY, FRACTAL STRINGS AND THE RIEMANN HYPOTHESIS: FROM SPECTRAL OPERATORS TO PHASE TRANSITIONS AND UNIVERSALITY
Av Hafedh Herichi, Michel L Lapidus
Inbunden, 2021
2038 kr
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Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and …
