Higher Dimensional Geometric Function Theory and Hypercomplex Analysis

Articles (75 in this collection)

1. Conformal Invariance of Clifford Monogenic Functions in the Indefinite Signature Case

   Authors

   • Chen Liang
   • Matvei Libine

   • Content type: OriginalPaper
   • Published: 29 April 2024

   • Article: 86

2. Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables

   Authors

   • Giulio Binosi

   • Content type: OriginalPaper
   • Open Access
   • Published: 29 April 2024

   • Article: 87

3. Characterizations of Finite Order Solutions of Circular Type Partial Differential-Difference Equations in \( \mathbb {C}^n \)

   Authors

   • Sanju Mandal
   • Molla Basir Ahamed

   • Content type: OriginalPaper
   • Published: 27 April 2024

   • Article: 85

4. On a Slice Hyper-Meromorphic Bergman Space

   Authors

   • Sofia Boudrai
   • Aiad Elgourari
   • Allal Ghanmi

   • Content type: OriginalPaper
   • Published: 26 March 2024

   • Article: 67

5. Estimation of Bounds for the Zeros of Polynomials and Regular Functions of a Quaternionic Variable

   Authors

   • Abdullah Mir
   • Abrar Ahmad

   • Content type: OriginalPaper
   • Published: 23 March 2024

   • Article: 61

6. Boas Type Results for Two-Sided Quaternion Fourier Transform and Uniform Lipschitz Spaces

   Authors

   • Sergey Volosivets

   • Content type: ReviewPaper
   • Published: 04 March 2024

   • Article: 46

7. The Bicomplex Dual Fractional Hankel Transform

   Authors

   • Adam Hammam

   • Content type: OriginalPaper
   • Published: 29 January 2024

   • Article: 30

8. Fourier Kernels Associated with the Clifford–Helmholtz System

   Authors

   • Hendrik De Bie
   • Roy Oste
   • Ze Yang

   • Content type: OriginalPaper
   • Published: 17 January 2024

   • Article: 24

   

9. On a New Characterization of the True-Poly-Analytic Bargmann Spaces

   Authors

   • Abdelhadi Benahmadi
   • Allal Ghanmi

   • Content type: OriginalPaper
   • Published: 08 January 2024

   • Article: 22

10. Discrete Weierstrass Transform: Generalisations

    Authors

    • A. Massé
    • H. De Ridder

    • Content type: OriginalPaper
    • Published: 05 January 2024

    • Article: 20

    

11. Holomorphic Functions on the Lie Ball and Their Monogenic Counterparts

    Authors

    • Brian Jefferies

    • Content type: OriginalPaper
    • Published: 05 January 2024

    • Article: 21

12. Quaternion Hyperbolic Fourier Transforms and Uncertainty Principles

    Authors

    • M. Ferreira
    • J. Morais

    • Content type: OriginalPaper
    • Published: 29 December 2023

    • Article: 16

    

13. Weak-Type Regularity of the Bergman Projection on n-Dimensional Hartogs Triangles

    Authors (first, second and last of 4)

    • Yuanyuan Jing
    • Yi Li
    • Mengjiao Wang

    • Content type: OriginalPaper
    • Published: 12 December 2023

    • Article: 15

14. Sharp Coefficients Bounds for Starlike Functions Associated with Gregory Coefficients

    Authors

    • Sercan Kazımoğlu
    • Erhan Deniz
    • H. M. Srivastava

    • Content type: OriginalPaper
    • Published: 04 December 2023

    • Article: 6

    

15. On the Rate of Polynomial Approximations of Holomorphic Functions on Convex Compact Sets

    Authors

    • Matvey Smirnov

    • Content type: OriginalPaper
    • Published: 31 October 2023

    • Article: 129

16. Modified Quaternionic Analysis on the Ball

    Authors

    • Heinz Leutwiler
    • Ehsan Waiezi

    • Content type: OriginalPaper
    • Open Access
    • Published: 05 October 2023

    • Article: 118

17. Slice Spirallike Functions over Quaternions

    Authors (first, second and last of 4)

    • Zhenghua Xu
    • Die Zhang
    • Jiajia Si

    • Content type: OriginalPaper
    • Published: 26 September 2023

    • Article: 113

    

18. Rudin’s Theorem for Model Domains

    Authors

    • Nabil Ourimi

    • Content type: OriginalPaper
    • Published: 22 August 2023

    • Article: 104

19. Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator

    Authors

    • Emilio Marmolejo-Olea

    • Content type: OriginalPaper
    • Open Access
    • Published: 07 August 2023

    • Article: 95

20. Paley–Wiener-Type Theorems Associated to the Laplace–Bessel Operator

    Authors

    • Minggang Fei
    • Yu Hu

    • Content type: OriginalPaper
    • Published: 31 July 2023

    • Article: 89

21. Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions

    Authors

    • Surya Giri
    • S. Sivaprasad Kumar

    • Content type: OriginalPaper
    • Published: 29 July 2023

    • Article: 86

22. On Polyanalytic Functions in Several Complex Variables

    Authors

    • Nikolai Vasilevski

    • Content type: OriginalPaper
    • Open Access
    • Published: 14 July 2023

    • Article: 80

23. Counterexamples to Bicomplex Analogue of Bloch’s Principle and its Converse

    Authors

    • Kuldeep Singh Charak
    • Shivani Pandita
    • Narinder Sharma

    • Content type: OriginalPaper
    • Published: 05 July 2023

    • Article: 73

24. Orthogonal Harmonic and Quaternionic Monogenic Functions in the Exterior of a Spheroid

    Authors

    • J. Morais

    • Content type: OriginalPaper
    • Published: 29 June 2023

    • Article: 71

25. Existence of Geodesic Spirals for the Kobayashi–Fuks Metric on Planar Domains

    Authors

    • Debaprasanna Kar

    • Content type: OriginalPaper
    • Published: 18 April 2023

    • Article: 46

26. The \(\mathcal {F}\)-Resolvent Equation and Riesz Projectors for the \(\mathcal {F}\)-Functional Calculus

    Authors

    • Fabrizio Colombo
    • Antonino De Martino
    • Irene Sabadini

    • Content type: OriginalPaper
    • Open Access
    • Published: 21 January 2023

    • Article: 26

    

27. Applications of Endomorphisms on Clifford Algebras to \((\alpha ,\beta )\)-Monogenic Functions and Isotonic Functions

    Authors

    • Doan Cong Dinh

    • Content type: OriginalPaper
    • Published: 03 January 2023

    • Article: 21

28. The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/2

    Authors (first, second and last of 4)

    • Biswajit Rath
    • K. Sanjay Kumar
    • Adam Lecko

    • Content type: OriginalPaper
    • Published: 11 June 2022

    • Article: 65

29. Toeplitz Operators on the Fock Space with Quasi-Radial Symbols

    Authors

    • Vishwa Dewage
    • Gestur Ólafsson

    • Content type: OriginalPaper
    • Published: 16 May 2022

    • Article: 61

30. Fractional Multicomplex Polynomials

    Authors (first, second and last of 5)

    • Johan Ceballos
    • Nicolás Coloma
    • Francisco Ponce

    • Content type: OriginalPaper
    • Published: 14 May 2022

    • Article: 60

    

31. Solvability of the Gleason Problem on a Class of Bounded Pseudoconvex Domains

    Authors

    • Timothy G. Clos

    • Content type: OriginalPaper
    • Published: 22 April 2022

    • Article: 58

32. Special Toeplitz Operators on Elementary Reinhardt Domains

    Authors

    • Yanyan Tang
    • Shuo Zhang

    • Content type: OriginalPaper
    • Published: 02 April 2022

    • Article: 49

33. A Cauchy Transform for Polymonogenic Functions on Fractal Domains

    Authors (first, second and last of 4)

    • Tania Rosa Gómez Santiesteban
    • Ricardo Abreu Blaya
    • José María Sigarreta Almira

    • Content type: OriginalPaper
    • Published: 25 March 2022

    • Article: 42

34. The Resolution of Euclidean Massless Field Operators of Higher Spins on \({\mathbb {R}}^6\) and the \(L^2\) Method

    Authors

    • Qianqian Kang
    • Wei Wang
    • Yuchen Zhang

    • Content type: OriginalPaper
    • Published: 25 March 2022

    • Article: 46

35. Topological Properties of Regular Boundary Domains in Riemannian Manifolds

    Authors

    • Elena Afanas’eva

    • Content type: OriginalPaper
    • Published: 19 March 2022

    • Article: 39

36. Integration of Functions of a Hyperbolic Variable

    Authors

    • M. E. Luna-Elizarrarás

    • Content type: OriginalPaper
    • Published: 18 March 2022

    • Article: 35

    

37. Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space

    Authors

    • Jiajia Si
    • Yi Zhang
    • Lifang Zhou

    • Content type: OriginalPaper
    • Published: 04 March 2022

    • Article: 32

38. The Twistor Space of \({\mathbb {R}}^{4n}\) and Berezin–Toeplitz Operators

    Authors

    • Tatyana Barron
    • Artour Tomberg

    • Content type: OriginalPaper
    • Published: 03 March 2022

    • Article: 28

39. Positive Toeplitz Operators Between Different Fock-Sobolev Type Spaces

    Authors (first, second and last of 4)

    • Jianjun Chen
    • Xiaofeng Wang
    • Guangxia Xu

    • Content type: OriginalPaper
    • Published: 18 February 2022

    • Article: 26

40. Some Properties of the Slice Regular Schwarzians

    Authors

    • J. Oscar González-Cervantes

    • Content type: OriginalPaper
    • Published: 16 January 2022

    • Article: 16

41. Multiplication Operators on the Bloch Space of Infinite Dimensional Bounded Symmetric Domains

    Authors (first, second and last of 4)

    • Yunbai Dong
    • Yongxin Gao
    • Ya-Shu Wang

    • Content type: OriginalPaper
    • Published: 07 December 2021

    • Article: 7

42. Composition Operators of Bloch-Type Spaces on Bounded Symmetric Domains

    Authors

    • Hidetaka Hamada
    • Tatsuhiro Honda

    • Content type: OriginalPaper
    • Published: 30 November 2021

    • Article: 6

43. Carleson and Reverse Carleson Measures on Homogeneous Siegel Domains

    Authors

    • Mattia Calzi
    • Marco M. Peloso

    • Content type: OriginalPaper
    • Published: 30 November 2021

    • Article: 4

44. Sums of Dual Toeplitz Products on the Orthogonal Complements of the Hardy–Sobolev Spaces

    Authors

    • Li He
    • Peiying Huang
    • Young Joo Lee

    • Content type: OriginalPaper
    • Published: 18 October 2021

    • Article: 119

45. Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds

    Authors

    • Lorenzo Sillari
    • Adriano Tomassini

    • Content type: OriginalPaper
    • Open Access
    • Published: 22 September 2021

    • Article: 112

    

46. Poly-analytic Functions and Representation Theory

    Authors

    • Alexander V. Turbiner
    • Nikolai Vasilevski

    • Content type: OriginalPaper
    • Published: 14 September 2021

    • Article: 110

47. Characterizations of Herglotz–Nevanlinna Functions Using Positive Semi-Definite Functions and the Nevanlinna Kernel in Several Variables

    Authors

    • Mitja Nedic

    • Content type: OriginalPaper
    • Open Access
    • Published: 14 September 2021

    • Article: 109

48. Octonionic Kerzman–Stein Operators

    Authors

    • Denis Constales
    • Rolf Sören Kraußhar

    • Content type: OriginalPaper
    • Open Access
    • Published: 06 September 2021

    • Article: 104

49. Closures of Bergman–Besov Spaces in the Weighted Bloch Spaces on the Unit Ball

    Authors

    • Nihat Gökhan Göğüş
    • Faruk Yilmaz

    • Content type: OriginalPaper
    • Published: 04 August 2021

    • Article: 100

50. Homogeneously Polyanalytic Kernels on the Unit Ball and the Siegel Domain

    Authors

    • Christian Rene Leal-Pacheco
    • Egor A. Maximenko
    • Gerardo Ramos-Vazquez

    • Content type: OriginalPaper
    • Published: 04 August 2021

    • Article: 99