Infinite-dimensional pseudodifferential operators

A. Yu. Khrennikov

Izvestiya. Mathematics , Tome 31 (1988) no. 3, pp. 575-601.

Résumé

A general theory is constructed for pseudodifferential operators on infinite-dimensional spaces. This theory is a natural basis for second quantization of field systems, as well as for quantization and second quantization of strings. Generalizations are considered to the case of infinite-dimensional superspaces (quantization and second quantization of superstrings, fermion fields, gauge theory of boson and fermion strings). Bibliography: 55 titles.

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