메뉴 건너뛰기




Volumn 50, Issue 4, 2003, Pages 469-505

Computability theory of generalized functions

Author keywords

Computability on distributions; Computable analysis; Computable real functions

Indexed keywords

COMPUTABILITY ON DISTRIBUTIONS; COMPUTABLE ANALYSIS; COMPUTABLE REAL FUNCTIONS;

EID: 18944388615     PISSN: 00045411     EISSN: 00045411     Source Type: Journal    
DOI: 10.1145/792538.792542     Document Type: Article
Times cited : (52)

References (21)
  • 1
    • 0004264295 scopus 로고
    • An introduction to the theory of distributions
    • Marcel Dekker Inc., New York
    • BARROS-NETO, J. 1973. An introduction to the theory of distributions. In Pure and Applied Mathematics, vol. 14. Marcel Dekker Inc., New York.
    • (1973) Pure and Applied Mathematics , vol.14
    • Barros-Neto, J.1
  • 3
    • 0001161931 scopus 로고
    • Computable functionals
    • GRZEGORCZYK, A. 1955. Computable functionals. Fund. Math. 42, 168-202.
    • (1955) Fund. Math. , vol.42 , pp. 168-202
    • Grzegorczyk, A.1
  • 4
    • 0002113398 scopus 로고
    • On the definitions of computable real continuous functions
    • GRZEGORCZYK, A. 1957. On the definitions of computable real continuous functions. Fund. Math. 44, 61-71.
    • (1957) Fund. Math. , vol.44 , pp. 61-71
    • Grzegorczyk, A.1
  • 7
    • 0003054253 scopus 로고
    • A recursive function defined on a compact interval and having a continuous derivative that is not recursive
    • MYHILL, J. 1971. A recursive function defined on a compact interval and having a continuous derivative that is not recursive. Mich. Math. J. 18, 97-98.
    • (1971) Mich. Math. J. , vol.18 , pp. 97-98
    • Myhill, J.1
  • 8
    • 0037189799 scopus 로고    scopus 로고
    • Exact real number computations relative to hereditarily total functionals
    • NORMANN, D. 2002. Exact real number computations relative to hereditarily total functionals. Theoret. Comput. Sci. 284, 2, 437-453.
    • (2002) Theoret. Comput. Sci. , vol.284 , Issue.2 , pp. 437-453
    • Normann, D.1
  • 13
    • 84858891962 scopus 로고    scopus 로고
    • Admissible representations of limit spaces
    • Jens Blanck, Vasco Brattka, and Peter Hertling, Eds. Lecture Notes in Computer Science. (Berlin, Springer, Germany), New York
    • SCHRÖDER, M. 2001. Admissible representations of limit spaces. In Computability and Complexity in Analysis, Jens Blanck, Vasco Brattka, and Peter Hertling, Eds. Lecture Notes in Computer Science. (Berlin, Springer, Germany), New York.
    • (2001) Computability and Complexity in Analysis
    • Schröder, M.1
  • 14
    • 84960561455 scopus 로고
    • On computable numbers, with an application to the " Entscheidungsproblem"
    • TURING, A. M. 1936. On computable numbers, with an application to the "Entscheidungsproblem." Proc. London Math. Soc. 42, 2, 230-265.
    • (1936) Proc. London Math. Soc. , vol.42 , Issue.2 , pp. 230-265
    • Turing, A.M.1
  • 15
    • 18944376160 scopus 로고    scopus 로고
    • Computability and tempered distributions
    • WASHIHARA, M. 1999. Computability and tempered distributions. Math. Japon. 50, 1, 1-7.
    • (1999) Math. Japon , vol.50 , Issue.1 , pp. 1-7
    • Washihara, M.1
  • 17
    • 84958055820 scopus 로고    scopus 로고
    • A foundation for computable analysis
    • František Plášil and Keith G. Jeffery, Eds. Lecture Notes in Computer Science, Springer-Verlag, Berlin
    • WEIHRAUCH, K. 1997. A foundation for computable analysis. In SOFSEM'97: Theory and Practice of Informatics, František Plášil and Keith G. Jeffery, Eds. Lecture Notes in Computer Science, vol. 1338. Springer-Verlag, Berlin, pp. 104-121.
    • (1997) SOFSEM'97: Theory and Practice of Informatics , vol.1338 , pp. 104-121
    • Weihrauch, K.1
  • 18
    • 0013324918 scopus 로고    scopus 로고
    • Computability on the probability measures on the Borel sets of the unit interval
    • WEIHRAUCH, K. 1999. Computability on the probability measures on the Borel sets of the unit interval. Theoret. Comput. Sci. 219, 421-437.
    • (1999) Theoret. Comput. Sci. , vol.219 , pp. 421-437
    • Weihrauch, K.1
  • 20
    • 0036727286 scopus 로고    scopus 로고
    • Is wave propagation computable or can wave computers beat the Turing machine?
    • WEIHRAUCH, K., AND ZHONG, N. 2002. Is wave propagation computable or can wave computers beat the Turing machine? Proc. London Math. Soc. 85, 2, 312-332.
    • (2002) Proc. London Math. Soc. , vol.85 , Issue.2 , pp. 312-332
    • Weihrauch, K.1    Zhong, N.2
  • 21
    • 18944404481 scopus 로고    scopus 로고
    • Computability theory of generalized functions
    • FernUniversität Hagen, Hagen. Sept.
    • ZHONG, N., AND WEIHRAUCH, K. 2000. Computability theory of generalized functions. Informatik Berichte 276, FernUniversität Hagen, Hagen. Sept.
    • (2000) Informatik Berichte , vol.276
    • Zhong, N.1    Weihrauch, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.