Functional equations of spherical functions on p-adic homogeneous spaces

Y. Hironaka

doi:10.1007/bf02942047

Functional equations of spherical functions on p-adic homogeneous spaces

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg ◽

10.1007/bf02942047 ◽

2005 ◽

Vol 75 (1) ◽

pp. 285-311 ◽

Cited By ~ 2

Author(s):

Y. Hironaka

Keyword(s):

Functional Equations ◽

Homogeneous Spaces ◽

Spherical Functions

Superstability of functional equations related to spherical functions

Open Mathematics ◽

10.1515/math-2017-0038 ◽

2017 ◽

Vol 15 (1) ◽

pp. 427-432 ◽

Cited By ~ 2

Author(s):

László Székelyhidi

Keyword(s):

Functional Equations ◽

Spherical Functions ◽

Invariant Means ◽

Stability Type

Abstract In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.

Part III. Spherical functions on $p$-adic homogeneous spaces

Algebraic and Analytic Aspects of Zeta Functions and $L$-functions - Mathematical Society of Japan Memoirs ◽

10.2969/msjmemoirs/02101c030 ◽

2010 ◽

pp. 50-72 ◽

Cited By ~ 1

Author(s):

Yumiko Hironaka

Keyword(s):

Homogeneous Spaces ◽

Spherical Functions

Functional equations and matrix-valued spherical functions

Aequationes Mathematicae ◽

10.1007/s00010-004-2754-6 ◽

2005 ◽

Vol 69 (3) ◽

pp. 271-292 ◽

Cited By ~ 11

Author(s):

Henrik Stetkær

Keyword(s):

Functional Equations ◽

Spherical Functions

Gelfand Pairs and Generalized d'Alembert's and Cauchy's Functional Equations

Georgian Mathematical Journal ◽

10.1515/gmj.2005.207 ◽

2005 ◽

Vol 12 (2) ◽

pp. 207-216

Author(s):

Belaid Bouikhalene ◽

Samir Kabbaj

Keyword(s):

Functional Equations ◽

Spherical Functions ◽

Aequationes Math ◽

Gelfand Pairs

Abstract We show that Cauchy's, d'Alembert's functional equations and their generalizations are the functional equations for bounded spherical functions associated to some Gel'fand pairs. Our results are very close to the ones obtained by Stetkær in [Aequationes Math. 48: 220–227, 1994].

Macdonald's Symmetric Polynomials as Zonal Spherical Functions on Some Quantum Homogeneous Spaces

Advances in Mathematics ◽

10.1006/aima.1996.0066 ◽

1996 ◽

Vol 123 (1) ◽

pp. 16-77 ◽

Cited By ~ 78

Author(s):

Masatoshi Noumi

Keyword(s):

Homogeneous Spaces ◽

Spherical Functions ◽

Symmetric Polynomials ◽

Quantum Homogeneous Spaces

Spherical Functions on p-Adic Homogeneous Spaces

Number Theory - Developments in Mathematics ◽

10.1007/0-387-30829-6_7 ◽

2006 ◽

pp. 81-95 ◽

Cited By ~ 1

Author(s):

Yumiko Hironaka

Keyword(s):

Homogeneous Spaces ◽

Spherical Functions

On Diophantine approximations of the solutions of q-functional equations

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210502000331 ◽

2002 ◽

Vol 132 (03) ◽

pp. 639

Keyword(s):

Functional Equations ◽

Diophantine Approximations

Spherical functions YKQ(θ, ϕ) and some of their properties

Optical Polarization of Molecules ◽

10.1017/cbo9780511564093.009 ◽

1995 ◽

pp. 246-247

Keyword(s):

Spherical Functions

On some functional equations related to derivations and bicircular projections in rings

Glasnik Matematicki ◽

10.3336/gm.49.2.06 ◽

2014 ◽

Vol 49 (2) ◽

pp. 313-331

Author(s):

Maja Fošner ◽

◽

Benjamin Marcen ◽

Nejc Širovnik ◽

Joso Vukman ◽

...

Keyword(s):

Functional Equations

Functional equations related to weightable quasi-metrics

Hacettepe Journal of Mathematics and Statistics ◽

10.15672/hjms.2015449441 ◽

2015 ◽

Vol 4 (1047) ◽

Author(s):

M.J. Campion ◽

E. Indurain ◽

G. Ochoa

Keyword(s):

Functional Equations