ON THE INDEX OF ' F'.{MILIES OF WIENER.HOPF'OPERATORS

Absrracr. A topological formula is obtained for the index of families of convolution operators on the halfline, enabling one to construct a homotopy invariant, depending on dimension, for multidimensional Viener-Hopf equations on a halfspace and also to obtain examples of polynomial matrices with varying partial indices. Bibliography: 15 items

F'ACTORIZATION OF'MATRICES DEPENI}ING ON A PARAMETER. AND ELLIPTIC EQUATIONS IN A IIAT,IISPACE v

Abstract. In this paper we prove the theorem that every matrix-function on the circle depending on a parameter admits a triangular factorization which is continuous in the parameter. Using this theorem, we manage to consrruct explicitly a regularizer of the boundary value problem for an elliptic system of pseudo-differential equations in a halfspace. B figures. Bibliography: 16 items

Maize food allergy: lipid-transfer proteins, endochitinases, and alpha-zein precursor are relevant maize allergens in double-blind placebo-controlled maize-challenge-positive patients

Italian patients with maize anaphylaxis have been shown to have IgE toward two major maize allergens: an alpha-amylase inhibitor and a 9-kDa LTP. A complete study on maize food allergens in patients with positive maize double-blind, placebo-controlled food challenge (DBPCFC) is lacking. The objective was to utilize the three maize protein fractions to identify and characterize the most relevant IgE-binding proteins recognized by the sera of Italian and Swiss patients with either a positive maize-DBPCFC or a history of maize-induced anaphylaxis. Osborne's protein fractions of maize were extracted to obtain water-soluble, total zein, and total protein fractions. Protein IgE-binding capacity was investigated by SDS-PAGE immunoblotting using the sera from DBPCFC-positive patients and from patients with maize-induced anaphylaxis. Purified maize LTP was used to inhibit the IgE immunoblotting of the three protein fractions. IgE immunoblotting demonstrated that the 9-kDa LTP was recognized by all the Italian patients and by none of the Swiss patients. Other allergens were: 14-kDa alpha-amylase inhibitor, 30-kDa endochitinases A and -B, 19 kDa zein-beta precursor, and 26 kDa zein-alpha precursor; a newly described allergen, the globulin-2 precursor, identified in the total protein fraction. It is noteworthy that maize LTP and endochitinase were cross-reactive with grape LTP and one grape endochitinase. LTP was found to be the only major allergen in Italian patients with either positive maize challenge or a history of maize-induced anaphylaxis. We have identified other maize allergens in subjects with maize food allergy, as grape cross-reactive endochitinase, however, the clinical significance of these proteins needs to be investigated in larger groups of patients with allergy to these food items