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Titlebook: Representation Theory and Noncommutative Harmonic Analysis II; Homogeneous Spaces, A. A. Kirillov Book 1995 Springer-Verlag Berlin Heidelb

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書目名稱Representation Theory and Noncommutative Harmonic Analysis II
副標(biāo)題Homogeneous Spaces,
編輯A. A. Kirillov
視頻videohttp://file.papertrans.cn/828/827410/827410.mp4
叢書名稱Encyclopaedia of Mathematical Sciences
圖書封面Titlebook: Representation Theory and Noncommutative Harmonic Analysis II; Homogeneous Spaces, A. A. Kirillov Book 1995 Springer-Verlag Berlin Heidelb
描述At first only elementary functions were studied in mathematical analysis. Then new functions were introduced to evaluate integrals. They were named special functions: integral sine, logarithms, the exponential function, the prob- ability integral and so on. Elliptic integrals proved to be the most important. They are connected with rectification of arcs of certain curves. The remarkable idea of Abel to replace these integrals by the corresponding inverse functions led to the creation of the theory of elliptic functions. They are doubly periodic functions of a complex variable. This periodicity has led to consideration of the lattice of periods and to linear-fractional trans- formations of the complex plane which leave this lattice invariant. The group of these transformations is isomorphic to the quotient group of the group 8L(2, Z) of unimodular matrices of the second order with integral elements with respect to its center. Investigation of properties of elliptic functions led to the study of automorphic functions and forms. This gave the first connec- tion between the theory of groups and this important class of functions. The further development of the theory of automorphic func
出版日期Book 1995
關(guān)鍵詞Fourier Transformation; Fourier transform; Integraltransformation; Orthogonale Polynome; Poissonsche Tra
版次1
doihttps://doi.org/10.1007/978-3-662-09756-4
isbn_softcover978-3-642-08126-2
isbn_ebook978-3-662-09756-4Series ISSN 0938-0396
issn_series 0938-0396
copyrightSpringer-Verlag Berlin Heidelberg 1995
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Harmonic Analysis on Homogeneous Spaces,ch of functional analysis which is vigorously developing now. The principal contents is closely connected with group representation theory in infinite-dimensional spaces. On the other hand, it interacts with such diverse fields as algebra, algebraic geometry, spectral theory of operators, number theory, Hamiltonian mechanics, quantum mechanics.
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978-3-642-08126-2Springer-Verlag Berlin Heidelberg 1995
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Representation Theory and Noncommutative Harmonic Analysis II978-3-662-09756-4Series ISSN 0938-0396
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Representation Theory and Noncommutative Harmonic Analysis IIHomogeneous Spaces,
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0938-0396 . This gave the first connec- tion between the theory of groups and this important class of functions. The further development of the theory of automorphic func978-3-642-08126-2978-3-662-09756-4Series ISSN 0938-0396
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