Titlebook: Lie Groups: Structure, Actions, and Representations; In Honor of Joseph A Alan Huckleberry,Ivan Penkov,Gregg Zuckerman Book 2013 Springer S

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0743-1643 ris                    F. Ricci.L. Barchini                            S. Rosenberg.I. Dotti                                  N. Shimeno.M. Eastwood                     J.Tirao.V. Fischer                       978-1-4899-9057-0978-1-4614-7193-6Series ISSN 0743-1643 Series E-ISSN 2296-505X

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Nilpotent Gelfand Pairs and Spherical Transforms of Schwartz Functions II: Taylor Expansions on Sinbtain a result of an independent interest which can be viewed as a generalised Hadamard lemma for .-invariant functions on .. Nilpotent Gelfand pairs here are assumed to satisfy Vinberg’s condition, meaning that . acts irreducibly on the quotient of n = Lie . by its derived subalgebra.

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,Weak Harmonic Maaß Forms and the Principal Series for ,, wave forms. We show that for special eigenvalues of the Laplacian, a Maaß wave form may be associated naturally with both a weak harmonic Maaß form and a classical modular form, leading to examples of weak harmonic Maaß forms for all even negative integer weights.

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