Ghent University Academic Bibliography

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Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups

Sekhar Ghosh, Vishvesh Kumar (UGent) and Michael Ruzhansky (UGent)

(2026) CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. 65(1).
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Cylindrical extensions of critical Sobolev type inequalities and identities

Michael Ruzhansky (UGent) , Yerkin Shaimerdenov (UGent) and Nurgissa Yessirkegenov

(2026) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 554(1).
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Nearness and solvability of non-invariant equations on stratified groups

Marianna Chatzakou (UGent) , Michael Ruzhansky (UGent) and Nikos Yannakakis

(2026) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 560(1).
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PointExplainer : towards transparent Parkinson’s disease diagnosis

Xuechao Wang, Sven Nõmm, Junqing Huang (UGent) , Kadri Medijainen, Aaro Toomela and Michael Ruzhansky (UGent)

(2026) INFORMATION FUSION. 129.
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Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle

Marianna Chatzakou (UGent) , Michael Ruzhansky (UGent) and Anjali Shriwastawa

(2026) MANUSCRIPTA MATHEMATICA. 177(2).
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Lp-Lq boundedness of Fourier multipliers on quantum Euclidean spaces

Michael Ruzhansky (UGent) , Serikbol Shaimardan (UGent) and Kanat Tulenov (UGent)

(2026) REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. 120(1).
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Heat equation with singular thermal conductivity

Michael Ruzhansky (UGent) , Mohammed Elamine Sebih and Niyaz Tokmagambetov (UGent)

(2026) REPORTS ON MATHEMATICAL PHYSICS. 97(1). p.1-13
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The weak (1,1) boundedness of Fourier integral operators with complex phases

Duvan Cardona Sanchez (UGent) and Michael Ruzhansky (UGent)

(2026) JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 113(3).
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Fujita exponent for heat equation with Hörmander vector fields

Marianna Chatzakou (UGent) , Aidyn Kassymov and Michael Ruzhansky (UGent)

(2026) ANNALI DI MATEMATICA PURA ED APPLICATA.
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Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications

Michael Ruzhansky (UGent) , Serikbol Shaimardan (UGent) and Kanat Tulenov (UGent)

(2026) JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. 32(1).
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Schatten–von Neumann properties for Hörmander classes on compact Lie groups

Duvan Cardona Sanchez (UGent) , Marianna Chatzakou (UGent) , Michael Ruzhansky (UGent) and Joachim Toft

(2026) FORUM MATHEMATICUM. 38(5). p.1335-1361
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Global pseudo-differential operators on I^n = (- 1, 1)^n

Duvan Cardona Sanchez (UGent) , Roland Duduchava, Arne Hendrickx (UGent) and Michael Ruzhansky (UGent)

(2026) JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS. 17(3).
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Zero modes and Dirac-(logarithmic) Sobolev-type inequalities

Marianna Chatzakou (UGent) , Uwe Kähler and Michael Ruzhansky (UGent)

(2026) LETTERS IN MATHEMATICAL PHYSICS. 116(3).
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Logarithmic Hardy–Rellich inequalities on Lie groups

Marianna Chatzakou (UGent) , Aidyn Kassymov (UGent) and Michael Ruzhansky (UGent)

(2026) REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. 120(3).
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Discrete heat equation with irregular thermal conductivity and tempered distributional data

Marianna Chatzakou (UGent) , Aparajita Dasgupta, Michael Ruzhansky (UGent) and Abhilash Tushir

(2025) PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. 155(1). p.57-80
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Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere

Rong Zhang, Vishvesh Kumar (UGent) and Michael Ruzhansky (UGent)

(2025) JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. 543(2).
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Schatten classes on noncommutative tori : Kernel conditions

Michael Ruzhansky (UGent) and Kai Zeng (UGent)

(2025) PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 153. p.2467-2479
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Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order

Manoj Kumar, Vishvesh Kumar (UGent) and Michael Ruzhansky (UGent)

(2025) INTERNATIONAL JOURNAL OF MATHEMATICS. 36(6).
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Lp-Lq boundedness of pseudo-differential operators on graded Lie groups

Duvan Cardona Sanchez (UGent) , Vishvesh Kumar (UGent) and Michael Ruzhansky (UGent)

(2025) NEW YORK JOURNAL OF MATHEMATICS. 31. p.722-748
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Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups

Duvan Cardona Sanchez (UGent) , Julio Delgado, Vishvesh Kumar (UGent) and Michael Ruzhansky (UGent)

(2025) OSAKA JOURNAL OF MATHEMATICS. 62(4). p.587-608

Academic Bibliography

Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups

Cylindrical extensions of critical Sobolev type inequalities and identities

Nearness and solvability of non-invariant equations on stratified groups

PointExplainer : towards transparent Parkinson’s disease diagnosis

Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle

Lp-Lq boundedness of Fourier multipliers on quantum Euclidean spaces

Heat equation with singular thermal conductivity

The weak (1,1) boundedness of Fourier integral operators with complex phases

Fujita exponent for heat equation with Hörmander vector fields

Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications

Schatten–von Neumann properties for Hörmander classes on compact Lie groups

Global pseudo-differential operators on I^n = (- 1, 1)^n

Zero modes and Dirac-(logarithmic) Sobolev-type inequalities

Logarithmic Hardy–Rellich inequalities on Lie groups

Discrete heat equation with irregular thermal conductivity and tempered distributional data

Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere

Schatten classes on noncommutative tori : Kernel conditions

Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order

Lp-Lq boundedness of pseudo-differential operators on graded Lie groups

Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups

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