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Journal of Mathematical Analysis and Applications

Volumn 331, Issue 1, 2007, Pages 455-471

Multiresolution expansion, approximation order and quasiasymptotic behavior of tempered distributions

(2) Pilipovic S a Teofanov, N a

a UNIVERSITY OF NOVI SAD (Serbia)

Author keywords

Approximation order; Multiresolution expansions; Quasiasymptotic behavior; Shift invariant spaces; Tempered distributions

Indexed keywords

EID: 33947189164 PISSN: 0022247X EISSN: 10960813 Source Type: Journal
DOI: 10.1016/j.jmaa.2006.08.053 Document Type: Article

Times cited : (15)

References (35)

1
- 84966255902
- d)
- d). Trans. Amer. Math. Soc. 341 2 (1994) 787-806
- (1994) Trans. Amer. Math. Soc. , vol.341 , Issue.2 , pp. 787-806
- de Boor, C.¹ DeVore, R.A.² Ron, A.³

2
- 33947114925
- H.-Q. Bui, R.S. Laugesen, Affine systems that span Lebesgue spaces, J. Fourier Anal. Appl., in press

3
- 11344252437
- Polynomial reproduction by refinable functions
- Lau K.-S. (Ed), Springer, Singapore
- Cabrelli C.A., Heil C., and Molter U. Polynomial reproduction by refinable functions. In: Lau K.-S. (Ed). Advances in Wavelets, Hong Kong, 1997 (1999), Springer, Singapore 121-161
- (1999) Advances in Wavelets, Hong Kong, 1997 , pp. 121-161
- Cabrelli, C.A.¹ Heil, C.² Molter, U.³

4
- 23044522973
- Accuracy of several multidimensional refinable distributions
- Cabrelli C.A., Heil C., and Molter U. Accuracy of several multidimensional refinable distributions. J. Fourier Anal. Appl. 6 5 (2000) 483-502
- (2000) J. Fourier Anal. Appl. , vol.6 , Issue.5 , pp. 483-502
- Cabrelli, C.A.¹ Heil, C.² Molter, U.³

5
- 0003833285
- SIAM
- Daubechies I. Ten Lectures on Wavelets (1992), SIAM
- (1992) Ten Lectures on Wavelets
- Daubechies, I.¹

6
- 0003658980
- Birkhäuser, Boston
- Estrada R., and Kanwal R.P. Asymptotic Analysis: A Distributional Approach (1994), Birkhäuser, Boston
- (1994) Asymptotic Analysis: A Distributional Approach
- Estrada, R.¹ Kanwal, R.P.²

7
- 0003492374
- CRC Press, Boca Raton
- Hernández E., and Weiss G. A First Course on Wavelets (1996), CRC Press, Boca Raton
- (1996) A First Course on Wavelets
- Hernández, E.¹ Weiss, G.²

8
- 11344256638
- d)
- d). J. Approx. Theory 132 1 (2005) 97-148
- (2005) J. Approx. Theory , vol.132 , Issue.1 , pp. 97-148
- Holtz, O.¹ Ron, A.²

9
- 3142689169
- p spaces
- p spaces. J. Math. Anal. Appl. 184 (1994) 620-639
- (1994) J. Math. Anal. Appl. , vol.184 , pp. 620-639
- Jia, R.-Q.¹

10
- 0001175082
- Refinable shift-invariant spaces: From splines to wavelets
- Chui C.K., and Schumaker L.L. (Eds), World Scientific
- Jia R.-Q. Refinable shift-invariant spaces: From splines to wavelets. In: Chui C.K., and Schumaker L.L. (Eds). Approximation Theory VIII, vol. 2 (1995), World Scientific 179-208
- (1995) Approximation Theory VIII, vol. 2 , pp. 179-208
- Jia, R.-Q.¹

11
- 21744439767
- Shift-invariant spaces on the real line
- Jia R.-Q. Shift-invariant spaces on the real line. Proc. Amer. Math. Soc. 125 3 (1997) 785-793
- (1997) Proc. Amer. Math. Soc. , vol.125 , Issue.3 , pp. 785-793
- Jia, R.-Q.¹

12
- 0032388122
- Approximation properties of multivariate wavelets
- Jia R.-Q. Approximation properties of multivariate wavelets. Math. Comp. 67 222 (1998) 647-665
- (1998) Math. Comp. , vol.67 , Issue.222 , pp. 647-665
- Jia, R.-Q.¹

13
- 0031372974
- Approximation by multiple refinable functions
- Jia R.-Q., Riemenschneider S.D., and Zhou D.X. Approximation by multiple refinable functions. Canad. J. Math. 49 5 (1997) 944-962
- (1997) Canad. J. Math. , vol.49 , Issue.5 , pp. 944-962
- Jia, R.-Q.¹ Riemenschneider, S.D.² Zhou, D.X.³

14
- 0039464588
- d)
- d). J. Approx. Theory 91 3 (1997) 279-319
- (1997) J. Approx. Theory , vol.91 , Issue.3 , pp. 279-319
- Johnson, M.J.¹

15
- 0002895908
- Pointwise convergence of wavelet expansions
- Kelly S.E., Kon M.A., and Raphael L.A. Pointwise convergence of wavelet expansions. Bull. Amer. Math. Soc. 30 (1994) 87-94
- (1994) Bull. Amer. Math. Soc. , vol.30 , pp. 87-94
- Kelly, S.E.¹ Kon, M.A.² Raphael, L.A.³

16
- 40749096191
- Approximation of distribution spaces by means of kernel operators
- Kyriazis G.C. Approximation of distribution spaces by means of kernel operators. J. Fourier Anal. Appl. 2 3 (1996) 261-286
- (1996) J. Fourier Anal. Appl. , vol.2 , Issue.3 , pp. 261-286
- Kyriazis, G.C.¹

17
- 0002841936
- d)
- d). Appl. Comput. Harmon. Anal. 3 2 (1996) 100-119
- (1996) Appl. Comput. Harmon. Anal. , vol.3 , Issue.2 , pp. 100-119
- Kyriazis, G.C.¹

18
- 0031073034
- Wavelet-type decompositions and approximations from shift-invariant spaces
- Kyriazis G.C. Wavelet-type decompositions and approximations from shift-invariant spaces. J. Approx. Theory 88 2 (1997) 257-271
- (1997) J. Approx. Theory , vol.88 , Issue.2 , pp. 257-271
- Kyriazis, G.C.¹

19
- 0035765606
- D.R. Larson, W.S. Tang, E. Weber, Riesz wavelets and multiresolution structures, in: A.F. Laine, M.A. Unser, A. Aldroubi (Eds.), Proc. SPIE, Wavelets: Applications in Signal and Image Processing IX, vol. 4478, 2001, pp. 254-262

20
- 0031516814
- Approximation from shift-invariant spaces by integral operators
- Lei J., Jia R.-Q., and Cheney E.W. Approximation from shift-invariant spaces by integral operators. SIAM J. Math. Anal. 28 2 (1997) 481-498
- (1997) SIAM J. Math. Anal. , vol.28 , Issue.2 , pp. 481-498
- Lei, J.¹ Jia, R.-Q.² Cheney, E.W.³

21
- 32544451895
- p space on compact set
- p space on compact set. J. Math. Anal. Appl. 317 (2006) 245-256
- (2006) J. Math. Anal. Appl. , vol.317 , pp. 245-256
- Li, B.¹ Wang, H.²

22
- 0011445623
- Sur la valeur et limit d'une distribution dans une point
- Lojasiewicz S. Sur la valeur et limit d'une distribution dans une point. Studia Math. 16 (1957) 1-36
- (1957) Studia Math. , vol.16 , pp. 1-36
- Lojasiewicz, S.¹

23
- 84966210236
- 2 (R)
- 2 (R). Trans. Amer. Math. Soc. 315 (1989) 69-87
- (1989) Trans. Amer. Math. Soc. , vol.315 , pp. 69-87
- Mallat, S.G.¹

24
- 1842565289
- Regular Variation and Differential Equations
- Springer, Berlin
- Marić V. Regular Variation and Differential Equations. Lecture Notes in Math. vol. 1726 (2000), Springer, Berlin
- (2000) Lecture Notes in Math. , vol.1726
- Marić, V.¹

25
- 0004198869
- Cambridge Univ. Press, Cambridge
- Meyer Y. Wavelets and Operators (1992), Cambridge Univ. Press, Cambridge
- (1992) Wavelets and Operators
- Meyer, Y.¹

26
- 0348126906
- ′
- ′. Publ. Inst. Math. (Beograd) 58 72 (1995) 13-20
- (1995) Publ. Inst. Math. (Beograd) , vol.58 , Issue.72 , pp. 13-20
- Pilipović, S.¹

27
- 0039135408
- Asymptotic Behaviour and Stieltjes Transformation of Distributions
- Teubner, Leipzig
- Pilipović S., Stanković B., and Takači A. Asymptotic Behaviour and Stieltjes Transformation of Distributions. Texte zur Mathematik vol. 116 (1990), Teubner, Leipzig
- (1990) Texte zur Mathematik , vol.116
- Pilipović, S.¹ Stanković, B.² Takači, A.³

28
- 0040319632
- Wavelets and quasiasymptotics at a point
- Pilipović S., Takači A., and Teofanov N. Wavelets and quasiasymptotics at a point. J. Approx. Theory 97 (1999) 40-52
- (1999) J. Approx. Theory , vol.97 , pp. 40-52
- Pilipović, S.¹ Takači, A.² Teofanov, N.³

29
- 0031517832
- Smooth refinable functions provide good approximation orders
- Ron A. Smooth refinable functions provide good approximation orders. SIAM J. Math. Anal. 28 (1997) 731-748
- (1997) SIAM J. Math. Anal. , vol.28 , pp. 731-748
- Ron, A.¹

30
- 33947159217
- Convergence of multiresolution expansions in the Schwartz class
- Teofanov N. Convergence of multiresolution expansions in the Schwartz class. Math. Balkanica (N.S.) 20 1 (2006) 101-111
- (2006) Math. Balkanica (N.S.) , vol.20 , Issue.1 , pp. 101-111
- Teofanov, N.¹

31
- 0003605738
- Kluwer Academic
- Vladimirov V.S., Drozhinov Y.N., and Zavialov B.I. Tauberian Theorems for Generalized Functions (1988), Kluwer Academic
- (1988) Tauberian Theorems for Generalized Functions
- Vladimirov, V.S.¹ Drozhinov, Y.N.² Zavialov, B.I.³

32
- 0004095568
- Nauka, Moscow
- Vladimirov V.S. Generalized Functions in Mathematical Physics (1979), Nauka, Moscow
- (1979) Generalized Functions in Mathematical Physics
- Vladimirov, V.S.¹

33
- 0001625980
- Pointwise convergence of wavelet expansions
- Walter G.G. Pointwise convergence of wavelet expansions. J. Approx. Theory 80 (1995) 108-118
- (1995) J. Approx. Theory , vol.80 , pp. 108-118
- Walter, G.G.¹

34
- 0003663091
- CRC Press, Boca Raton
- Walter G.G. Wavelets and Other Orthogonal Systems with Applications (1994), CRC Press, Boca Raton
- (1994) Wavelets and Other Orthogonal Systems with Applications
- Walter, G.G.¹

35
- 33947172044
- On the quasi-asymptotic expansion of the casual fundamental solution of hyperbolic operators and systems
- Wagner P. On the quasi-asymptotic expansion of the casual fundamental solution of hyperbolic operators and systems. Z. Anal. Anwendungen 10 (1991) 159-167
- (1991) Z. Anal. Anwendungen , vol.10 , pp. 159-167
- Wagner, P.¹

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