منابع مشابه
Orthogonality relations for k-hypermonogenic automorphic forms
In this paper we deal with monogenic and k-hypermonogenic automorphic forms on arithmetic subgroups of the Ahlfors-Vahlen group. Monogenic automorphic forms are exactly the 0-hypermonogenic automorphic forms. In the first part we establish an explicit relation to Maaß wave forms. In the second part we introduce Clifford algebra valued k-hypermonogenic cusp forms. We construct k-hypermonogenic P...
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In this paper we obtain the orthogonality relations for the supergroup U(m|n), which are remarkably different from the ones for the U(N) case. We extend our results for ordinary representations, obtained some time ago, to the case of complex conjugated and mixed representations. Our results are expressed in terms of the Young tableaux notation for irreducible representations. We use the supersy...
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The second order hypergeometric q-difference operator is studied for the value c = −q. For certain parameter regimes the corresponding recurrence relation can be related to a symmetric operator on the Hilbert space l(Z). The operator has deficiency indices (1, 1) and we describe as explicitly as possible the spectral resolutions of the self-adjoint extensions. This gives rise to one-parameter o...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1971
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700046426