JournalsprimsVol. 32, No. 4Publications of the Research Institute for Mathematical SciencesVolume 32, No. 4 (1996)DOI: 10.4171/prims | ISSN: 0034-5318 | eISSN: 1663-4926pp. 555–579Geometric Construction of *-Representations of the Weyl Algebra with Degree 2Hideki KuroseHiroshi Nakazatopp. 581–616Growth Order of Eigenfunctions of Schrödinger Operators with Potentials Admitting Some Integral Conditions I — General Theory —Masaharu AraiJun Uchiyamapp. 617–631Growth Order of Eigenfunctions of Schrödinger Operators with Potentials Admitting Some Integral Conditions II — Applications —Masaharu AraiJun Uchiyamapp. 633–669Canonical Representations Generated by Translationally Quasi-invariant MeasuresHiroaki Shimomurapp. 671–688The Mean Ratio Set for <i>ax</i> + <i>b</i> Valued CocyclesKarma DajaniAnthony H. Dooleypp. 689–727Spherical Functions of the Principal Series Representations of <i>Sp</i>(2, <i><b>R</b></i>) as Hypergeometric Functions of C<sub>2</sub>-TypeMasatoshi Iida

pp. 555–579Geometric Construction of *-Representations of the Weyl Algebra with Degree 2Hideki KuroseHiroshi Nakazato

pp. 581–616Growth Order of Eigenfunctions of Schrödinger Operators with Potentials Admitting Some Integral Conditions I — General Theory —Masaharu AraiJun Uchiyama

pp. 617–631Growth Order of Eigenfunctions of Schrödinger Operators with Potentials Admitting Some Integral Conditions II — Applications —Masaharu AraiJun Uchiyama

pp. 633–669Canonical Representations Generated by Translationally Quasi-invariant MeasuresHiroaki Shimomura

pp. 689–727Spherical Functions of the Principal Series Representations of <i>Sp</i>(2, <i><b>R</b></i>) as Hypergeometric Functions of C<sub>2</sub>-TypeMasatoshi Iida