@inbook{e671954ef9f74fa49c3c9c192555a9c2,

title = "Spherical functions on p-adic homogeneous spaces",

abstract = "In §1, after defining spherical functions on homogeneous spaces, we examine the case of symmetric forms as an enlightening example. In §2, we introduce a general formula of spherical functions using functional equations under suitable assumption. In §3, we study a certain mechanism of functional equations of spherical functions.",

keywords = "Pre- homogeneous vector spaces, Relative invariants, Spherical functions, p-adic homogeneous spaces",

author = "Yumiko Hironaka",

year = "2006",

doi = "10.1007/0-387-30829-6_7",

language = "English",

isbn = "9780387304144",

series = "Developments in Mathematics",

publisher = "Springer New York LLC",

pages = "81--95",

booktitle = "NUMBER THEORY",

}