Published March 1981
| Version v1
Journal article
Associative algebra of generalized functions closed with respect to differentiation and integration
- 1. Moskovskij Gosudarstvennyj Univ. (USSR). Nauchno-Issledovatel'skij Inst. Yadernoj Fiziki
- 2. AN SSSR, Leningrad. Matematicheskij Inst.
Description
An associative algebra of generalised functions is constructed. The set of functions includes the delta-function and the functionals of the new type which are nonzero only on the delta-function or its derivatives. The algebra is equipped with the operations of involution, differentiation and integration. The algebra can be useful in constructing new strongly singular quantum potentials. It can also be used in some suitable formalism of local quantum field theory
Additional details
Additional titles
- Original title (Russian)
- Ассоциативная алгебра обобщенных функций, замкнутая относительно дифференцирования и взятия первообразной
Publishing Information
- Journal Title
- Teor. Mat. Fiz.
- Journal Volume
- 46
- Journal Issue
- 3
- Series
- Teor. Mat. Fiz.
- Journal Page Range
- 305-309
- ISSN
- 0564-6162
INIS
- Country of Publication
- Russian Federation
- Country of Input or Organization
- USSR
- INIS RN
- 13651539
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRAIC FIELD THEORY; COMMUTATION RELATIONS; DELTA FUNCTION; FUNCTIONALS; SINGULARITY
- Descriptors DEC
- AXIOMATIC FIELD THEORY; FIELD THEORIES; FUNCTIONS; QUANTUM FIELD THEORY
Optional Information
- Notes
- For English translation see the journal Theoretical and Mathematical Physics (USA).