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Research Output 2006 2019

2019

Local and global symbols on compact Lie groups

Fischer, V., 22 May 2019, In : Journal of Pseudo-Differential Operators and Applications. p. 1-37 37 p.

Research output: Contribution to journalArticle

Open Access
6 Downloads (Pure)

Semi-classical analysis on H-type groups

Kammerer, C. F. & Fischer, V., 1 Jun 2019, In : Science China Mathematics. 62, 6, p. 1057-1086 30 p.

Research output: Contribution to journalArticle

Open Access
File
2018
1 Citation (Scopus)
17 Downloads (Pure)

Nilpotent Gelfand pairs and Schwartz extensions of spherical transforms via quotient pairs

Fischer, V., Ricci, F. & Yakimova, O., 15 Feb 2018, In : Journal of Functional Analysis. 274, 4, p. 1076-1128 53 p.

Research output: Contribution to journalArticle

Open Access
File
Gelfand Pairs
Quotient
Transform
Nilpotent Lie Group
Invariant
2017
6 Citations (Scopus)

Sobolev spaces on graded lie groups

Fischer, V. & Ruzhansky, M., 1 Jul 2017, In : Annales de l'institut Fourier. 67, 4, p. 1671-1723 53 p.

Research output: Contribution to journalArticle

Open Access
Positive Operator
Sobolev Spaces
Sub-Laplacian
Sobolev Embedding
Interpolation Spaces
2016

Homogeneous lie groups

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 91-170 80 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Homogeneous Groups
Euclidean
Harmonic Analysis
Dilation
One to many

Preliminaries on lie groups

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 15-56 42 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Notation

Pseudo-differential operators on the Heisenberg group

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 427-489 63 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Heisenberg Group
Pseudodifferential Operators
Line
12 Citations (Scopus)

Quantization on compact lie groups

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 57-90 34 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Compact Lie Group
Quantization
Nilpotent Group
Operator
Irreducible Representation
8 Citations (Scopus)

Quantization on graded lie groups

Fischer, V. & Ruzhansky, M., 1 Jan 2016, Quantization on Nilpotent Lie Groups. Basel, Switzerland: Birkhäuser, p. 271-426 156 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Quantization
Line

Quantization on nilpotent Lie group

Fischer, V. & Michael, R., Apr 2016, Progress in Mathematics ed. Birkhäuser. 557 p.

Research output: Book/ReportBook

Nilpotent Lie Group
Quantization
Homogeneous Groups
Compact Lie Group
Heisenberg Group

Rockland operators and Sobolev spaces

Fischer, V. & Ruzhansky, M., Mar 2016, Quantization on Nilpotent Lie Groups. Birkhäuser, p. 171-269 99 p. (Progress in Mathematics; vol. 314).

Research output: Chapter in Book/Report/Conference proceedingChapter

Open Access
Operator Space
Sobolev Spaces
Line
2015

Degenerate Principal series representations of SOo(p,p+1).

Fischer, V. & Zhang, G., Jan 2015, In : Monatshefte für Mathematik. 176, 1, p. 87-105 19 p.

Research output: Contribution to journalArticle

Series Representation
Skew symmetric matrix
Parabolic Subgroup
Maximal Subgroup
Odd
7 Citations (Scopus)
9 Downloads (Pure)

Intrinsic pseudo-differential calculus on compact Lie group

Fischer, V., 1 Jun 2015, In : Journal of Functional Analysis. 268, 11, p. 3404-3477 74 p.

Research output: Contribution to journalArticle

Open Access
2014
10 Citations (Scopus)

A pseudo-differential calculus on graded nilpotent Lie groups

Fischer, V. & Ruzhansky, M., 1 Jan 2014, Fourier Analysis - Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations. Ruzhansky, M. V. & Turunen, V. (eds.). Springer International Publishing, p. 107-132 26 p. (Trends in Mathematics; vol. 63).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nilpotent Lie Group
Differential Calculus
Difference Operator
Operator
Representation Theory
11 Citations (Scopus)

A pseudo-differential calculus on the Heisenberg group

Fischer, V. & Ruzhansky, M., Mar 2014, In : Comptes Rendus Mathematique. 352, 3, p. 197-204

Research output: Contribution to journalArticle

Differential Calculus
Heisenberg Group
Hypoellipticity
Quantization
Scalar
2013
7 Citations (Scopus)

Lower bounds for operators on graded Lie groups

Fischer, V. & Ruzhansky, M., 2013, In : Comptes Rendus Mathematique. 351, 1-2, p. 13-18

Research output: Contribution to journalArticle

2 Citations (Scopus)

Nilpotent Gelfand pairs and spherical transforms of Schwartz functions II: Taylor expansions on singular sets

Fischer, V., Ricci, F. & Yakimova, O., 1 Jan 2013, Lie Groups: Structure, Actions, and Representations: In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday. Huckleberry, A., Penkov, I. & Zuckerman, G. (eds.). New York, U. S. A.: Birkhauser Boston, p. 81-112 32 p. (Progress in Mathematics; vol. 306).

Research output: Chapter in Book/Report/Conference proceedingChapter

Gelfand Pairs
Singular Set
Taylor Expansion
Transform
Invariant
2012
10 Citations (Scopus)

Nilpotent Gelfand pairs and spherical transforms of Schwartz functions I: Rank-one actions on the centre

Fischer, V., Ricci, F. & Yakimova, O., 1 Jun 2012, In : Mathematische Zeitschrift. 271, 1-2, p. 221-255 35 p.

Research output: Contribution to journalArticle

Gelfand Pairs
Transform
Invariant Polynomials
Nilpotent Lie Group
Nilpotent Group

The Heisenberg oscillator

Fischer, V., 1 Jan 2012, In : Bulletin of Mathematical Sciences. 2, 1, p. 181-191 11 p.

Research output: Contribution to journalArticle

Open Access
Sub-Laplacian
Heisenberg Group
Operator
2009
9 Citations (Scopus)

Gelfand transforms of SO(3)-invariant schwartz functions on the free group N3,2

Fischer, V. & Ricci, F., 1 Jan 2009, In : Annales de l'institut Fourier. 59, 6, p. 2143-2168 26 p.

Research output: Contribution to journalArticle

Gelfand Pairs
Free Group
Transform
Nilpotent Lie Group
Invariant
2006
2 Citations (Scopus)

The bounded spherical functions the free two-step nilpotent Lie group

Fischer, V., 3 Feb 2006, In : Journal of Lie Theory. 16, 2, p. 351-370 20 p.

Research output: Contribution to journalArticle

Nilpotent Lie Group
Spherical Functions
Plancherel Measure
Sub-Laplacian
Orthogonal Group
2 Citations (Scopus)

The spherical maximal function on the free two-step nilpotent Lie group

Fischer, V., 1 Jan 2006, In : Mathematica Scandinavica. 99, 1, p. 99-118 20 p.

Research output: Contribution to journalArticle

Nilpotent Lie Group
Spherical Functions
Maximal Function
Unit Sphere
Boundedness