Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms
Springer Basel (Verlag)
978-3-0348-0165-2 (ISBN)
The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis.
Introduction.- The Weyl calculus.- The Radon transformation and applications.- Automorphic functions and automorphic distributions.- A class of Poincaré series.- Spectral decomposition of the Poincaré summation process.- The totally radial Weyl calculus and arithmetic.- Should one generalize the Weyl calculus to an adelic setting?.- Index of notation.- Subject Index.- Bibliography.
lt;p>From the reviews:
"The book is devoted to explaining a close relationship between the pseudodifferential analysis and the well-known theory of automorphic functions and modular forms on the upper Poincaré half-plane II, or their generalization as automorphic distributions. ... the book is perfectly readable and rich with analytic details for both researchers in pseudodifferential analysis and for number theorists." ( Ng c Di p, Mathematical Reviews, November, 2013)
"In this book the author explains very beautiful links between pseudodifferential analysis and the theory of nonholomorphic modular forms on the classical modular group ... . The book is excellently written and represents an extremely valuable contribution for the two research communities - analysts from PDEs and pseudodifferential operators and number theorists. It exhibits a lot of new and original links between the two research areas. It is self-contained and easily accessible for a broad readership." (Sören Kraußhar, Zentralblatt MATH, Vol. 1243, 2012)
Erscheint lt. Verlag | 6.8.2011 |
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Reihe/Serie | Pseudo-Differential Operators |
Zusatzinfo | VIII, 300 p. |
Verlagsort | Basel |
Sprache | englisch |
Maße | 168 x 240 mm |
Gewicht | 520 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
ISBN-10 | 3-0348-0165-3 / 3034801653 |
ISBN-13 | 978-3-0348-0165-2 / 9783034801652 |
Zustand | Neuware |
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