TY - JOUR
T1 - Fourier Integrals, Special Functions, and the Semicontinuity Phenomenon
AU - Palamodov, V. P.
PY - 2001
Y1 - 2001
N2 - For a real weighted homogeneous hypersurface germ, we consider elliptic deformations and related special functions. Singularities of these special functions are characterized by some rational numbers called energy exponents. We apply the residue mapping to the corresponding Fourier integrals and give a geometric interpretation of the energy exponents in the terms of the volume of the associated Lagrangian manifold. The energy exponents are calculated for a series of examples. Two conjectures concerning the energy exponents are discussed.
AB - For a real weighted homogeneous hypersurface germ, we consider elliptic deformations and related special functions. Singularities of these special functions are characterized by some rational numbers called energy exponents. We apply the residue mapping to the corresponding Fourier integrals and give a geometric interpretation of the energy exponents in the terms of the volume of the associated Lagrangian manifold. The energy exponents are calculated for a series of examples. Two conjectures concerning the energy exponents are discussed.
UR - http://www.scopus.com/inward/record.url?scp=0035640165&partnerID=8YFLogxK
U2 - 10.1023/A:1017579232328
DO - 10.1023/A:1017579232328
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AN - SCOPUS:0035640165
SN - 0016-2663
VL - 35
SP - 124
EP - 132
JO - Functional Analysis and its Applications
JF - Functional Analysis and its Applications
IS - 2
M1 - 343254
ER -