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Neretin, "Lectures on Gaussian Integral Operators and Classical Groups " English | ISBN: 3037190809 | 2011 | 571 pages | PDF | 3 MB This book is an elementary self-contained introduction to some constructions of representation theory and related topics of differential geometry and analysis. Topics covered include the theory of various Fourier-like integral operators such as Segal-Bargmann transforms, Gaussian integral operators in $L^2$ and in the Fock space, integral operators with theta-kernels, the geometry of real and $p$-adic classical groups and symmetric spaces. The heart of the book is the Weil representation of the symplectic group (real and complex realizations, relations with theta-functions and modular forms, $p$-adic and adelic constructions) and representations in Hilbert spaces of holomorphic functions of several complex variables. This book is addressed to graduate students and researchers in representation theory, differential geometry, and operator theory. 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Through concise, practical, and clear examples, this book takes web developers step-by-step through the tools and libraries in the Vue.js ecosystem and how to use them to create complete applications for real-world web projects.  Free Download Learning Systems Thinking by Diana Montalion English | 2023 | ISBN: 9781098151331 | 82 pages | EPUB + MOBI | 4.06 Mb A decade ago, developers built information-sharing software by writing a lot of custom code in a single code base, then adding layers of caching. Now we build information systems: interdependent software and services, data platforms, and event streams. Many of our software-to-systems initiatives fail, though, and when they do, we double down on traditional linear approaches. But linear thinking cannot resolve systems challenges. We need to shift to systems thinking. |
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