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1

Inequalities for positive module operators on von Neumann algebras

Choi, Byoung Jin, Ji, Un Cig, Lim, Yongdo

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 323 KB

english, 2018

2

Quantum Lévy Laplacian and associated heat equation

Un Cig Ji, Nobuaki Obata, Habib Ouerdiane

Journal:

Journal of Functional Analysis

Year:

2007

Language:

english

File:

PDF, 223 KB

english, 2007

3

Stochastic integral representation theorem for quantum semimartingales

Journal:

Journal of Functional Analysis

Year:

2003

Language:

english

File:

PDF, 296 KB

english, 2003

4

Monotone quantum stochastic processes and covariant dynamical hemigroups

Jaeseong Heo, Viacheslav P. Belavkin, Un Cig Ji

Journal:

Journal of Functional Analysis

Year:

2011

Language:

english

File:

PDF, 230 KB

english, 2011

5

A Unified Characterization Theorem in White Noise Theory

Ji, Un Cig, Obata, Nobuaki

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2003

Language:

english

File:

PDF, 265 KB

english, 2003

6

KSGNS Type Constructions for\(\alpha \)-Completely Positive Maps on Krein\(C^*\)-Modules

Moslehian, Mohammad Sal, Joiţa, Maria, Ji, Un Cig

Journal:

Complex Analysis and Operator Theory

Year:

2016

Language:

english

File:

PDF, 555 KB

english, 2016

7

Noncommutative Fuk–Nagaev Inequalities and Their Applications

Choi, Byoung Jin, Ji, Un Cig

Journal:

Bulletin of the Malaysian Mathematical Sciences Society

Year:

2016

Language:

english

File:

PDF, 525 KB

english, 2016

8

Multi-parameter Transformation Groups on White Noise Functionals

Dong Myung Chung, Un Cig Ji

Journal:

Journal of Mathematical Analysis and Applications

Year:

2000

Language:

english

File:

PDF, 165 KB

english, 2000

9

Unitary multiplier and dilation of projective isometric representation

Un Cig Ji, Young Yi Kim, Su Hyung Park

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 157 KB

english, 2007

10

Stochastic integral representations of quantum martingales on multiple Fock space

Journal:

Proceedings Mathematical Sciences

Year:

2006

Language:

english

File:

PDF, 204 KB

english, 2006

11

Annihilation-Derivative, Creation-Derivative and Representation of Quantum Martingales

Un Cig Ji, Nobuaki Obata

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 323 KB

english, 2009

12

Poisson Equations Associated with Differential Second Quantization Operators in White Noise Analysis

Dong Myung Chung, Un Cig Ji

Journal:

Acta Applicandae Mathematicae

Year:

2000

Language:

english

File:

PDF, 93 KB

english, 2000

13

Covariant representations on Krein -modules associated to pairs of two maps

Jaeseong Heo, Un Cig Ji, Young Yi Kim

Journal:

Journal of Mathematical Analysis and Applications

Year:

2013

Language:

english

File:

PDF, 275 KB

english, 2013

14

EXOTIC LAPLACIANS AND DERIVATIVES OF WHITE NOISE

ACCARDI, LUIGI, JI, UN CIG, SAITÔ, KIMIAKI

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2011

Language:

english

File:

PDF, 228 KB

english, 2011

15

φ-Derivations on operators on q-Fock space

Ji, Un Cig, Kim, Jae Hee

Journal:

Journal of Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 416 KB

english, 2012

16

On KSGNS representations on Krein C[sup ∗]-modules

Heo, Jaeseong, Hong, Jang Pyo, Ji, Un Cig

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 471 KB

english, 2010

17

Some cauchy problems in white noise analysis and associated semigroups of operators

Chung, Dong Myung, Ji, Un Cig

Journal:

Stochastic Analysis and Applications

Year:

1999

Language:

english

File:

PDF, 672 KB

english, 1999

18

Convergence rates for weighted sums in noncommutative probability space

Choi, Byoung Jin, Ji, Un Cig

Journal:

Journal of Mathematical Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 407 KB

english, 2014

19

ERRATA: EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES

ACCARDI, LUIGI, JI, UN CIG, SAITÔ, KIMIAKI

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2010

Language:

english

File:

PDF, 55 KB

english, 2010

20

EXOTIC LAPLACIANS AND ASSOCIATED STOCHASTIC PROCESSES

ACCARDI, LUIGI, JI, UN CIG, SAITÔ, KIMIAKI

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2009

Language:

english

File:

PDF, 306 KB

english, 2009

21

QUANTUM STOCHASTIC ANALYSIS VIA WHITE NOISE OPERATORS IN WEIGHTED FOCK SPACE

CHUNG, DONG MYUNG, JI, UN CIG, OBATA, NOBUAKI

Journal:

Reviews in Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 487 KB

english, 2002

22

Quantum stochastic integral representations of Fock space operators

Ji, Un Cig, Obata, Nobuaki

Journal:

Stochastics An International Journal of Probability and Stochastic Processes

Year:

2009

Language:

english

File:

PDF, 224 KB

english, 2009

23

Radon–Nikodým type theorem for α-completely positive maps

Heo, Jaeseong, Ji, Un Cig

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 372 KB

english, 2010

24

Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives

Ji, Un Cig, Obata, Nobuaki

Journal:

Journal of Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 498 KB

english, 2010

25

Quantum stochastic processes for maps on Hilbert C

Heo, Jaeseong, Ji, Un Cig

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 459 KB

english, 2011

26

Higher Powers of Quantum White Noises in Terms of Integral Kernel Operators

Chung, Dong Myung, Ji, Un Cig, Obata, Nobuaki

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

1998

Language:

english

File:

PDF, 498 KB

english, 1998

27

THE EXOTIC (HIGHER ORDER LÉVY) LAPLACIANS GENERATE THE MARKOV PROCESSES GIVEN BY DISTRIBUTION DERIVATIVES OF WHITE NOISE

ACCARDI, LUIGI, JI, UN CIG, SAITÔ, KIMIAKI

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2013

Language:

english

File:

PDF, 306 KB

english, 2013

28

UNIQUENESS OF INTEGRANDS IN QUANTUM STOCHASTIC INTEGRAL

JI, UN CIG, SINHA, KALYAN B.

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2006

Language:

english

File:

PDF, 169 KB

english, 2006

29

CAUCHY PROBLEMS ASSOCIATED WITH THE LÉVY LAPLACIAN IN WHITE NOISE ANALYSIS

CHUNG, DONG MYUNG, JI, UN CIG, SAITÔ, KIMIAKI

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

1999

Language:

english

File:

PDF, 489 KB

english, 1999

30

A SIMILARITY BETWEEN THE GROSS LAPLACIAN AND THE LÉVY LAPLACIAN

JI, UN CIG, SAITÔ, KIMIAKI

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2007

Language:

english

File:

PDF, 214 KB

english, 2007

31

UNITARITY OF KUO'S FOURIER–MEHLER TRANSFORM

JI, UN CIG, OBATA, NOBUAKI

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2004

Language:

english

File:

PDF, 149 KB

english, 2004

32

INTEGRAL REPRESENTATION OF QUANTUM MARTINGALES

JI, UN CIG, SINHA, KALYAN B.

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2005

Language:

english

File:

PDF, 231 KB

english, 2005

33

ANALYTIC CHARACTERIZATION OF GENERALIZED FOCK SPACE OPERATORS AS TWO-VARIABLE ENTIRE FUNCTIONS WITH GROWTH CONDITION

JI, UN CIG, OBATA, NOBUAKI, OUERDIANE, HABIB

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2002

Language:

english

File:

PDF, 260 KB

english, 2002

34

Unitarity of Generalized Fourier–Gauss Transforms

Ji, Un Cig, Obata, Nobuaki

Journal:

Stochastic Analysis and Applications

Year:

2006

Language:

english

File:

PDF, 131 KB

english, 2006

35

Factorization property of convolutions of white noise operators

Ji, Un Cig, Kim, Young Yi, Park, Yoon Jung

Journal:

Indian Journal of Pure and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 177 KB

english, 2015

36

Notes on a C0-Group Generated by the Lévy Laplacian

Dong Myung Chung, Un Cig Ji and Kimiaki Saitô

Journal:

Proceedings of the American Mathematical Society

Year:

2002

Language:

english

File:

PDF, 297 KB

english, 2002

37

Higher order multi-dimensional extensions of Cesàro theorem

Accardi, Luigi, Ji, Un Cig, Saitô, Kimiaki

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2015

Language:

english

File:

PDF, 203 KB

english, 2015

38

Exponential convergence rates for weighted sums in noncommutative probability space

Choi, Byoung Jin, Ji, Un Cig

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2016

Language:

english

File:

PDF, 210 KB

english, 2016

39

Quantum stochastic calculus associated with quadratic quantum noises

Ji, Un Cig, Sinha, Kalyan B.

Journal:

Journal of Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 494 KB

english, 2016

40

An implementation problem for boson fields and quantum Girsanov transform

Ji, Un Cig, Obata, Nobuaki

Journal:

Journal of Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 522 KB

english, 2016

41

Analytic characterizations of infinite dimensional distributions

Accardi, Luigi, Ji, Un Cig, Saitô, Kimiaki

Journal:

Infinite Dimensional Analysis Quantum Probability and Related Topics

Year:

2017

Language:

english

File:

PDF, 216 KB

english, 2017

42

Law of large numbers for weighted inductive means in a Hadamard space

Choi, Byoung Jin, Heo, Jaeseong, Ji, Un Cig

Journal:

Mathematische Nachrichten

Year:

2017

Language:

english

File:

PDF, 247 KB

english, 2017

43

Transforms on white noise functionals with their applications to Cauchy problems

Chung, Dong Myung, Ji, Un Cig

Journal:

Nagoya Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 1.37 MB

english, 1997

44

Toeplitz Lemma in Geodesic Metric Space and Convergence of Inductive Means

Jin Choi, Byoung, Ji, Un Cig

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 276 KB

english, 2018

45

Convex feasibility problems on uniformly convex metric spaces

Choi, Byoung Jin, Ji, Un Cig, Lim, Yongdo

Journal:

Optimization Methods and Software

Year:

2018

Language:

english

File:

PDF, 1.47 MB

english, 2018

46

A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space

Cig JI, Un, OBATA, Nobuaki

Journal:

Journal of the Mathematical Society of Japan

Year:

2004

Language:

english

File:

PDF, 932 KB

english, 2004

47

A role of Bargmann-Segal spaces in characterization and expansion of operators on Fock space

Cig JI, Un, OBATA, Nobuaki

Journal:

Journal of the Mathematical Society of Japan

Year:

2004

File:

PDF, 932 KB

2004

48

Quasi-maximum exponential likelihood estimator and portmanteau test of double AR(p)$\operatorname{AR}(p)$ model based on Laplace(a,b)$\operatorname{Laplace}(a,b)$

Xuan, Haiyan, Song, Lixin, Ji, Un Cig, Sun, Yan, Dai, Tianjiao

Journal:

Journal of Inequalities and Applications

Year:

2018

Language:

english

File:

PDF, 1.72 MB

english, 2018

49

Generalized Mehler Semigroup on White Noise Functionals and White Noise Evolution Equations

Ji, Un Cig, Lee, Mi Ra, Ma, Peng Cheng

Journal:

Year:

2020

File:

PDF, 318 KB

2020

50

White noise differential equations for vector-valued white noise functionals

Ji, Un Cig, Ma, Peng Cheng

Journal:

Banach Journal of Mathematical Analysis

Year:

2021

File:

PDF, 2.21 MB

2021