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1

Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball

Xu, Y., Kyriazis, G., Petrushev, P.

Journal:

Proceedings of the London Mathematical Society

Year:

2008

Language:

english

File:

PDF, 480 KB

english, 2008

2

Localized Tight Frames on Spheres

Narcowich, F. J., Petrushev, P., Ward, J. D.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2006

Language:

english

File:

PDF, 277 KB

english, 2006

3

Nonlinear Approximation and the Space${\rm BV}({\Bbb R}^{2})$

Albert Cohen, Ronald DeVore, Pencho Petrushev and Hong Xu

Journal:

American Journal of Mathematics

Year:

1999

Language:

english

File:

PDF, 3.16 MB

english, 1999

4

Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces

Kerkyacharian, Gerard, Petrushev, Pencho

Journal:

Transactions of the American Mathematical Society

Year:

2014

Language:

english

File:

PDF, 813 KB

english, 2014

5

New Bases for Triebel-Lizorkin and Besov Spaces

G. Kyriazis and P. Petrushev

Journal:

Transactions of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 2.10 MB

english, 2002

6

Bases Consisting of Rational Functions of Uniformly Bounded Degrees or More General Functions

Pencho Petrushev

Journal:

Journal of Functional Analysis

Year:

2000

Language:

english

File:

PDF, 347 KB

english, 2000

7

Decomposition of Besov and Triebel–Lizorkin spaces on the sphere

F. Narcowich, P. Petrushev, J. Ward

Journal:

Journal of Functional Analysis

Year:

2006

Language:

english

File:

PDF, 286 KB

english, 2006

8

Localized Polynomial Frames on the Interval with Jacobi Weights

Pencho Petrushev, Yuan Xu

Journal:

Journal of Fourier Analysis and Applications

Year:

2005

Language:

english

File:

PDF, 156 KB

english, 2005

9

Decomposition of spaces of distributions induced by tensor product bases

Kamen Ivanov, Pencho Petrushev, Yuan Xu

Journal:

Journal of Functional Analysis

Year:

2012

Language:

english

File:

PDF, 500 KB

english, 2012

10

Nonlinear approximation and the space BV (R 2)

Petrushev, P. P. (Penco Petrov), Cohen, Albert, Xu, Hong, DeVore, Ronald A.

Journal:

American Journal of Mathematics

Year:

1999

Language:

english

File:

PDF, 1.00 MB

english, 1999

11

Rational bases for spaces of holomorphic functions in the disc

Kyriazis, G., Petrushev, P.

Journal:

Journal of the London Mathematical Society

Year:

2014

Language:

english

File:

PDF, 353 KB

english, 2014

12

10.1090/S0002-9947-01-02916-6

Kyriazis, G., Petrushev, P.

Journal:

Transactions of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 369 KB

english, 2002

13

Algorithms for Nonlinear Piecewise Polynomial Approximation: Theoretical Aspects

Borislav Karaivanov, Pencho Petrushev and Robert C. Sharpley

Journal:

Transactions of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 4.44 MB

english, 2003

14

Homogeneous Besov and Triebel–Lizorkin spaces associated to non-negative self-adjoint operators

Georgiadis, A.G., Kerkyacharian, G., Kyriazis, G., Petrushev, P.

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 519 KB

english, 2017

15

Regularity of Gaussian Processes on Dirichlet Spaces

Kerkyacharian, Gerard, Ogawa, Shigeyoshi, Petrushev, Pencho, Picard, Dominique

Journal:

Constructive Approximation

Year:

2018

Language:

english

File:

PDF, 646 KB

english, 2018

16

Minimal residual disease in chronic lymphocytic leukemia: A consensus paper that presents the clinical impact of the presently available laboratory approaches

Tomuleasa, Ciprian, Selicean, Cristina, Cismas, Sonia, Jurj, Anca, Marian, Mirela, Dima, Delia, Pasca, Sergiu, Petrushev, Bobe, Moisoiu, Vlad, Micu, Wilhelm-Thomas, Vischer, Anna, Arifeen, Kanza, Seli

Journal:

Critical Reviews in Clinical Laboratory Sciences

Year:

2018

Language:

english

File:

PDF, 2.14 MB

english, 2018

17

Oral manifestations in stem cell transplantation for acute myeloid leukemia

Mester, Alexandru, Irimie, Alexandra, Oprita, Liana, Dima, Delia, Petrushev, Bobe, Lucaciu, Ondine, Campian, Radu-Septimiu, Tanase, Alina

Journal:

Medical Hypotheses

Year:

2018

Language:

english

File:

PDF, 835 KB

english, 2018

18

Antioxidant and anti‐inflammatory effects of the monocarbonyl curcumin analogs B2BRBC and C66 in monocrotaline‐induced right ventricular hypertrophy

Hadzi‐Petrushev, Nikola, Angelovski, Marija, Rebok, Katerina, Mitrokhin, Vadim, Kamkin, Andre, Mladenov, Mitko

Journal:

Journal of Biochemical and Molecular Toxicology

Year:

2019

Language:

english

File:

PDF, 772 KB

english, 2019

19

Differential Diagnosis of Malignant Lymphadenopathy Using Flow Cytometry on Fine Needle Aspirate: Report on 269 Cases

Griesel, Carla, Desmirean, Minodora, Esterhuizen, Tonya, Pasca, Sergiu, Petrushev, Bobe, Selicean, Cristina, Roman, Andrei, Fetica, Bogdan, Teodorescu, Patric, Swanepoel, Carmen, Tomuleasa, Ciprian, G

Journal:

Journal of Clinical Medicine

Year:

2020

Language:

english

File:

PDF, 3.17 MB

english, 2020

20

Anisotropic Franklin bases on polygonal domains

George Kyriazis, Kyungwon Park, Pencho Petrushev

Journal:

Mathematische Nachrichten

Year:

2006

Language:

english

File:

PDF, 352 KB

english, 2006

21

Relations between rational and spline approximations in Lp metric

Pencho P Petrushev

Journal:

Journal of Approximation Theory

Year:

1987

Language:

english

File:

PDF, 631 KB

english, 1987

22

Nonlinear piecewise polynomial approximation beyond Besov spaces

Borislav Karaivanov, Pencho Petrushev

Journal:

Applied and Computational Harmonic Analysis

Year:

2003

Language:

english

File:

PDF, 484 KB

english, 2003

23

Inversion of noisy Radon transform by SVD based needlets

Gérard Kerkyacharian, George Kyriazis, Erwan Le Pennec, Pencho Petrushev, Dominique Picard

Journal:

Applied and Computational Harmonic Analysis

Year:

2010

Language:

english

File:

PDF, 1.52 MB

english, 2010

24

The sixth Vasil Popov prize awarded to Joel A. Tropp of California Institute of Technology Thirteenth International Conference in Approximation Theory, San Antonio, Texas, March 8, 2010

Pencho Petrushev

Journal:

Journal of Approximation Theory

Year:

2010

Language:

english

File:

PDF, 178 KB

english, 2010

25

Decomposition of Triebel–Lizorkin and Besov spaces in the context of Laguerre expansions

G. Kerkyacharian, P. Petrushev, D. Picard, Yuan Xu

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 444 KB

english, 2009

26

On the construction of frames for spaces of distributions

George Kyriazis, Pencho Petrushev

Journal:

Journal of Functional Analysis

Year:

2009

Language:

english

File:

PDF, 267 KB

english, 2009

27

Multivariate n-term rational and piecewise polynomial approximation

Pencho Petrushev

Journal:

Journal of Approximation Theory

Year:

2003

Language:

english

File:

PDF, 387 KB

english, 2003

28

Call for 2007 nominations for the Fifth Vasil A. Popov Prize

Pencho Petrushev

Journal:

Applied and Computational Harmonic Analysis

Year:

2006

Language:

english

File:

PDF, 49 KB

english, 2006

29

Distribution of interpolation points of bestL2-approximants (nth partial sums of Fourier series)

P. Binev, P. Petrushev, E. B. Saff, O. Trifonov

Journal:

Constructive Approximation

Year:

1993

Language:

english

File:

PDF, 925 KB

english, 1993

30

The Gibbs phenomenon for bestL1-trigonometric polynomial approximation

E. Moskona, P. Petrushev, E. B. Saff

Journal:

Constructive Approximation

Year:

1995

Language:

english

File:

PDF, 902 KB

english, 1995

31

Generalization of the Dini-Lipschitz test for uniform convergence of Fourier series

P. P. Petrushev, V. Kh. Khristov

Journal:

Mathematical Notes

Year:

1979

Language:

english

File:

PDF, 395 KB

english, 1979

32

Uniform rational approximation of functions with first derivative in the real hardy space ReH1

E. S. Moskona, P. P. Petrushev

Journal:

Constructive Approximation

Year:

1991

Language:

english

File:

PDF, 1.56 MB

english, 1991

33

On the rational approximation of functions with convexr-Th derivative

P. P. Petrushev

Journal:

Acta Mathematica Hungarica

Year:

1976

Language:

english

File:

PDF, 223 KB

english, 1976

34

Relations between rational and spline approximations

Journal:

Acta Mathematica Hungarica

Year:

1984

Language:

english

File:

PDF, 872 KB

english, 1984

35

Effect of the slope of the side surfaces of a cutting tool in a drill bit on the cutting and forward-feed forces

M. P. Latyshenko, B. A. Katanov, R. A. Petrushev, V. P. Vysotskii

Journal:

Journal of Mining Science

Year:

1975

Language:

english

File:

PDF, 179 KB

english, 1975

36

Decomposition of Spaces of Distributions Induced by

Pencho Petrushev, Yuan Xu

Journal:

Journal of Fourier Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 716 KB

english, 2008

37

Anisotropic Meshless Frames on ℝn

S. Dekel, Y. Han, P. Petrushev

Journal:

Journal of Fourier Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 512 KB

english, 2009

38

Hardy Spaces on ℝnwith Pointwise Variable Anisotropy

Shai Dekel, Pencho Petrushev, Tal Weissblat

Journal:

Journal of Fourier Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 798 KB

english, 2011

39

Sub-exponentially localized kernels and frames induced by orthogonal expansions

Kamen Ivanov, Pencho Petrushev, Yuan Xu

Journal:

Mathematische Zeitschrift

Year:

2010

Language:

english

File:

PDF, 517 KB

english, 2010

40

Multilevel preconditioning for partition of unity methods: some analytic concepts

Wolfgang Dahmen, Shai Dekel, Pencho Petrushev

Journal:

Numerische Mathematik

Year:

2007

Language:

english

File:

PDF, 341 KB

english, 2007

41

"Push-the-Error" Algorithm for Nonlinear n-Term Approximation

W. Dahmen, P. Petrushev

Journal:

Constructive Approximation

Year:

2006

Language:

english

File:

PDF, 390 KB

english, 2006

42

Localized Polynomial Frames on the Ball

Pencho Petrushev, Yuan Xu

Journal:

Constructive Approximation

Year:

2008

Language:

english

File:

PDF, 275 KB

english, 2008

43

Two-Level-Split Decomposition of Anisotropic Besov Spaces

Wolfgang Dahmen, Shai Dekel, Pencho Petrushev

Journal:

Constructive Approximation

Year:

2010

Language:

english

File:

PDF, 951 KB

english, 2010

44

Nonlinear Approximation from Dictionaries: Some Open Problems: Research Problems 2000-3

Journal:

Constructive Approximation

Year:

2001

Language:

english

File:

PDF, 35 KB

english, 2001

45

“Compactly” supported frames for spaces of distributions on the ball

George Kyriazis, Pencho Petrushev

Journal:

Monatshefte für Mathematik

Year:

2012

Language:

english

File:

PDF, 312 KB

english, 2012

46

l-2-oxothiazolidine-4-carboxylate influence on age- and heat exposure-dependent redox changes in rat’s blood plasma

Nikola Hadzi-Petrushev, Nikola Jankulovski, Kiril Hristov, Mitko Mladenov

Journal:

The Journal of Physiological Sciences

Year:

2011

Language:

english

File:

PDF, 241 KB

english, 2011

47

l-2-oxothiazolidine-4-carboxylate influence on age- and heat exposure-dependent peroxidation in rat's liver and kidney

Nikola Hadzi-Petrushev, Nikola Jankulovski, Mishko Milev, Pavlina Filipovska, Hristo Gagov, Elizabeta Gjorgievska, Dine Mitrov, Ramadan Sopi, Kiril Hristov, Mitko Mladenov

Journal:

Journal of Thermal Biology

Year:

2012

Language:

english

File:

PDF, 445 KB

english, 2012

48

Nonlinear Approximation from Differentiable Piecewise Polynomials

Davydov, Oleg, Petrushev, Pencho

Journal:

SIAM Journal on Mathematical Analysis

Year:

2003

Language:

english

File:

PDF, 483 KB

english, 2003

49

Approximation by Ridge Functions and Neural Networks

Petrushev, Pencho P.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1998

Language:

english

File:

PDF, 600 KB

english, 1998

50

Heat Kernel Generated Frames in the Setting of Dirichlet Spaces

T. Coulhon, G. Kerkyacharian, P. Petrushev

Journal:

Journal of Fourier Analysis and Applications

Year:

2012

Language:

english

File:

PDF, 1.24 MB

english, 2012